Measurement of the strong coupling constant αs and the vector and axial-vector spectral functions in hadronic tau decays the opal collaboration

K. Ackerstaff, G. Alexander, J. Allison, N. Altekamp, K. J. Anderson, S. Anderson, S. Arcelli, S. Asai, S. F. Ashby, D. Axen, G. Azuelos, A. H. Ball, E. Barberio, R. J. Barlow, R. Bartoldus, J. R. Batley, S. Baumann, J. Bechtluft, T. Behnke, K. W. Bell & 301 others G. Bella, S. Bentvelsen, S. Bethke, S. Betts, O. Biebel, A. Biguzzi, S. D. Bird, V. Blobel, I. J. Bloodworth, M. Bobinski, P. Bock, J. Böhme, M. Boutemeur, S. Braibant, P. Bright-Thomas, R. M. Brown, H. J. Burckhart, C. Burgard, R. Bürgin, P. Capiluppi, R. K. Carnegie, A. A. Carter, J. R. Carter, C. Y. Chang, D. G. Charlton, D. Chrisman, C. Ciocca, P. E.L. Clarke, E. Clay, I. Cohen, J. E. Conboy, O. C. Cooke, C. Couyoumtzelis, R. L. Coxe, M. Cuffiani, S. Dado, G. M. Dallavalle, R. Davis, S. de Jong, L. A. del Pozo, A. de Roeck, K. Desch, B. Dienes, M. S. Dixit, M. Doucet, J. Dubbert, E. Duchovni, G. Duckeck, I. P. Duerdoth, D. Eatough, P. G. Estabrooks, E. Etzion, H. G. Evans, F. Fabbri, A. Fanfani, M. Fanti, A. A. Faust, F. Fiedler, M. Fierro, H. M. Fischer, I. Fleck, R. Folman, A. Fürtjes, D. I. Futyan, P. Gagnon, J. W. Gary, J. Gascon, S. M. Gascon-Shotkin, C. Geich-Gimbel, T. Geralis, G. Giacomelli, P. Giacomelli, V. Gibson, W. R. Gibson, D. M. Gingrich, D. Glenzinski, J. Goldberg, W. Gorn, C. Grandi, E. Gross, J. Grunhaus, M. Gruwé, G. G. Hanson, M. Hansroul, M. Hapke, C. K. Hargrove, C. Hartmann, M. Hauschild, C. M. Hawkes, R. Hawkings, R. J. Hemingway, M. Herndon, G. Herten, R. D. Heuer, M. D. Hildreth, J. C. Hill, S. J. Hillier, P. R. Hobson, A. Hocker, R. J. Homer, A. K. Honma, D. Horváth, K. R. Hossain, R. Howard, P. Hüntemeyer, P. Igo-Kemenes, D. C. Imrie, K. Ishii, F. R. Jacob, A. Jawahery, H. Jeremie, M. Jimack, A. Joly, C. R. Jones, P. Jovanovic, T. R. Junk, D. Karlen, V. Kartvelishvili, K. Kawagoe, T. Kawamoto, P. I. Kayal, R. K. Keeler, R. G. Kellogg, B. W. Kennedy, A. Klier, S. Kluth, T. Kobayashi, M. Kobel, D. S. Koetke, T. P. Kokott, M. Kolrep, Sachio Komamiya, R. V. Kowalewski, T. Kress, P. Krieger, J. von Krogh, P. Kyberd, G. D. Lafferty, D. Lanske, J. Lauber, S. R. Lautenschlager, I. Lawson, J. G. Layter, D. Lazic, A. M. Lee, E. Lefebvre, D. Lellouch, J. Letts, L. Levinson, R. Liebisch, B. List, C. Littlewood, A. W. Lloyd, S. L. Lloyd, F. K. Loebinger, G. D. Long, M. J. Losty, J. Ludwig, D. Liu, A. Macchiolo, A. Macpherson, M. Mannelli, S. Marcellini, C. Markopoulos, A. J. Martin, J. P. Martin, G. Martinez, T. Mashimo, P. Mättig, W. J. McDonald, J. McKenna, E. A. Mckigney, T. J. McMahon, R. A. McPherson, F. Meijers, S. Menke, F. S. Merritt, H. Mes, J. Meyer, A. Michelini, S. Mihara, G. Mikenberg, D. J. Miller, R. Mir, W. Mohr, A. Montanari, T. Mori, K. Nagai, I. Nakamura, H. A. Neal, B. Nellen, R. Nisius, S. W. O'Neale, F. G. Oakham, F. Odorici, H. O. Ogren, M. J. Oreglia, S. Orito, J. Pálinkás, G. Pásztor, J. R. Pater, G. N. Patrick, J. Patt, R. Perez-Ochoa, S. Petzold, P. Pfeifenschneider, J. E. Pilcher, J. Pinfold, D. E. Plane, P. Poffenberger, B. Poli, J. Polok, M. Przybycień, C. Rembser, H. Rick, S. Robertson, S. A. Robins, N. Rodning, J. M. Roney, K. Roscoe, A. M. Rossi, Y. Rozen, K. Runge, O. Runolfsson, D. R. Rust, K. Sachs, T. Saeki, O. Sahr, W. M. Sang, E. K.G. Sarkisyan, C. Sbarra, A. D. Schaile, O. Schaile, F. Scharf, P. Scharff-Hansen, J. Schieck, B. Schmitt, S. Schmitt, A. Schöning, T. Schorner, M. Schräder, M. Schumacher, C. Schwick, W. G. Scott, R. Seuster, T. G. Shears, B. C. Shen, C. H. Shepherd-Themistocleous, P. Sherwood, G. P. Siroli, A. Sittler, A. Skuja, A. M. Smith, G. A. Snow, R. Sobie, S. Söldner-Rembold, M. Sproston, A. Stahl, K. Stephens, J. Steuerer, K. Stoll, D. Strom, R. Ströhmer, R. Tafirout, S. D. Talbot, S. Tanaka, P. Taras, S. Tarem, R. Teuscher, M. Thiergen, M. A. Thomson, E. von Törne, E. Torrence, S. Towers, I. Trigger, Z. Trócsányi, E. Tsur, A. S. Turcot, M. F. Turner-Watson, R. van Kooten, P. Vannerem, M. Verzocchi, P. Vikas, H. Voss, F. Wäckerle, A. Wagner, C. P. Ward, D. R. Ward, P. M. Watkins, A. T. Watson, N. K. Watson, P. S. Wells, N. Wermes, J. S. White, G. W. Wilson, J. A. Wilson, T. R. Wyatt, S. Yamashita, G. Yekutieli, V. Zacek, D. Zer-Zion

Research output: Contribution to journalArticle

332 Citations (Scopus)

Abstract

The spectral functions of the vector current and the axial-vector current have been measured in hadronic τ decays using the OPAL detector at LEP. Within the framework of the Operator Product Expansion a simultaneous determination of the strong coupling constant αs, the non-perturbative operators of dimension 6 and 8 and of the gluon condensate has been performed. Different perturbative descriptions have been compared to the data. The Contour Improved Fixed Order Perturbation Theory gives αs(mτ 2) = 0.348 ± 0.009exp ± 0.019theo at the τ-mass scale and αs(mZ 2) = 0.1219 ± 0.0010exp ± 0.0017theo at the Z°- mass scale. The values obtained for αs(mZ 2) using Fixed Order Perturbation Theory or Renormalon Chain Resummation are 2.3% and 4.1% smaller, respectively. The 'running' of the strong coupling between S0 ≃ 1.3 GeV2 and S0 = mτ 2 has been tested from direct fits to the integrated differential hadronic decay rate Rτ(s0). A test of the saturation of QCD sum rules at the τ-mass scale has been performed.

Original languageEnglish
Pages (from-to)571-593
Number of pages23
JournalEuropean Physical Journal C
Volume7
Issue number4
Publication statusPublished - 1999 Jan 1
Externally publishedYes

Fingerprint

vector currents
decay
perturbation theory
operators
Detectors
sum rules
decay rates
condensates
quantum chromodynamics
saturation
expansion
detectors
products

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Physics and Astronomy (miscellaneous)

Cite this

Ackerstaff, K., Alexander, G., Allison, J., Altekamp, N., Anderson, K. J., Anderson, S., ... Zer-Zion, D. (1999). Measurement of the strong coupling constant αs and the vector and axial-vector spectral functions in hadronic tau decays the opal collaboration. European Physical Journal C, 7(4), 571-593.

Measurement of the strong coupling constant αs and the vector and axial-vector spectral functions in hadronic tau decays the opal collaboration. / Ackerstaff, K.; Alexander, G.; Allison, J.; Altekamp, N.; Anderson, K. J.; Anderson, S.; Arcelli, S.; Asai, S.; Ashby, S. F.; Axen, D.; Azuelos, G.; Ball, A. H.; Barberio, E.; Barlow, R. J.; Bartoldus, R.; Batley, J. R.; Baumann, S.; Bechtluft, J.; Behnke, T.; Bell, K. W.; Bella, G.; Bentvelsen, S.; Bethke, S.; Betts, S.; Biebel, O.; Biguzzi, A.; Bird, S. D.; Blobel, V.; Bloodworth, I. J.; Bobinski, M.; Bock, P.; Böhme, J.; Boutemeur, M.; Braibant, S.; Bright-Thomas, P.; Brown, R. M.; Burckhart, H. J.; Burgard, C.; Bürgin, R.; Capiluppi, P.; Carnegie, R. K.; Carter, A. A.; Carter, J. R.; Chang, C. Y.; Charlton, D. G.; Chrisman, D.; Ciocca, C.; Clarke, P. E.L.; Clay, E.; Cohen, I.; Conboy, J. E.; Cooke, O. C.; Couyoumtzelis, C.; Coxe, R. L.; Cuffiani, M.; Dado, S.; Dallavalle, G. M.; Davis, R.; de Jong, S.; del Pozo, L. A.; de Roeck, A.; Desch, K.; Dienes, B.; Dixit, M. S.; Doucet, M.; Dubbert, J.; Duchovni, E.; Duckeck, G.; Duerdoth, I. P.; Eatough, D.; Estabrooks, P. G.; Etzion, E.; Evans, H. G.; Fabbri, F.; Fanfani, A.; Fanti, M.; Faust, A. A.; Fiedler, F.; Fierro, M.; Fischer, H. M.; Fleck, I.; Folman, R.; Fürtjes, A.; Futyan, D. I.; Gagnon, P.; Gary, J. W.; Gascon, J.; Gascon-Shotkin, S. M.; Geich-Gimbel, C.; Geralis, T.; Giacomelli, G.; Giacomelli, P.; Gibson, V.; Gibson, W. R.; Gingrich, D. M.; Glenzinski, D.; Goldberg, J.; Gorn, W.; Grandi, C.; Gross, E.; Grunhaus, J.; Gruwé, M.; Hanson, G. G.; Hansroul, M.; Hapke, M.; Hargrove, C. K.; Hartmann, C.; Hauschild, M.; Hawkes, C. M.; Hawkings, R.; Hemingway, R. J.; Herndon, M.; Herten, G.; Heuer, R. D.; Hildreth, M. D.; Hill, J. C.; Hillier, S. J.; Hobson, P. R.; Hocker, A.; Homer, R. J.; Honma, A. K.; Horváth, D.; Hossain, K. R.; Howard, R.; Hüntemeyer, P.; Igo-Kemenes, P.; Imrie, D. C.; Ishii, K.; Jacob, F. R.; Jawahery, A.; Jeremie, H.; Jimack, M.; Joly, A.; Jones, C. R.; Jovanovic, P.; Junk, T. R.; Karlen, D.; Kartvelishvili, V.; Kawagoe, K.; Kawamoto, T.; Kayal, P. I.; Keeler, R. K.; Kellogg, R. G.; Kennedy, B. W.; Klier, A.; Kluth, S.; Kobayashi, T.; Kobel, M.; Koetke, D. S.; Kokott, T. P.; Kolrep, M.; Komamiya, Sachio; Kowalewski, R. V.; Kress, T.; Krieger, P.; von Krogh, J.; Kyberd, P.; Lafferty, G. D.; Lanske, D.; Lauber, J.; Lautenschlager, S. R.; Lawson, I.; Layter, J. G.; Lazic, D.; Lee, A. M.; Lefebvre, E.; Lellouch, D.; Letts, J.; Levinson, L.; Liebisch, R.; List, B.; Littlewood, C.; Lloyd, A. W.; Lloyd, S. L.; Loebinger, F. K.; Long, G. D.; Losty, M. J.; Ludwig, J.; Liu, D.; Macchiolo, A.; Macpherson, A.; Mannelli, M.; Marcellini, S.; Markopoulos, C.; Martin, A. J.; Martin, J. P.; Martinez, G.; Mashimo, T.; Mättig, P.; McDonald, W. J.; McKenna, J.; Mckigney, E. A.; McMahon, T. J.; McPherson, R. A.; Meijers, F.; Menke, S.; Merritt, F. S.; Mes, H.; Meyer, J.; Michelini, A.; Mihara, S.; Mikenberg, G.; Miller, D. J.; Mir, R.; Mohr, W.; Montanari, A.; Mori, T.; Nagai, K.; Nakamura, I.; Neal, H. A.; Nellen, B.; Nisius, R.; O'Neale, S. W.; Oakham, F. G.; Odorici, F.; Ogren, H. O.; Oreglia, M. J.; Orito, S.; Pálinkás, J.; Pásztor, G.; Pater, J. R.; Patrick, G. N.; Patt, J.; Perez-Ochoa, R.; Petzold, S.; Pfeifenschneider, P.; Pilcher, J. E.; Pinfold, J.; Plane, D. E.; Poffenberger, P.; Poli, B.; Polok, J.; Przybycień, M.; Rembser, C.; Rick, H.; Robertson, S.; Robins, S. A.; Rodning, N.; Roney, J. M.; Roscoe, K.; Rossi, A. M.; Rozen, Y.; Runge, K.; Runolfsson, O.; Rust, D. R.; Sachs, K.; Saeki, T.; Sahr, O.; Sang, W. M.; Sarkisyan, E. K.G.; Sbarra, C.; Schaile, A. D.; Schaile, O.; Scharf, F.; Scharff-Hansen, P.; Schieck, J.; Schmitt, B.; Schmitt, S.; Schöning, A.; Schorner, T.; Schräder, M.; Schumacher, M.; Schwick, C.; Scott, W. G.; Seuster, R.; Shears, T. G.; Shen, B. C.; Shepherd-Themistocleous, C. H.; Sherwood, P.; Siroli, G. P.; Sittler, A.; Skuja, A.; Smith, A. M.; Snow, G. A.; Sobie, R.; Söldner-Rembold, S.; Sproston, M.; Stahl, A.; Stephens, K.; Steuerer, J.; Stoll, K.; Strom, D.; Ströhmer, R.; Tafirout, R.; Talbot, S. D.; Tanaka, S.; Taras, P.; Tarem, S.; Teuscher, R.; Thiergen, M.; Thomson, M. A.; von Törne, E.; Torrence, E.; Towers, S.; Trigger, I.; Trócsányi, Z.; Tsur, E.; Turcot, A. S.; Turner-Watson, M. F.; van Kooten, R.; Vannerem, P.; Verzocchi, M.; Vikas, P.; Voss, H.; Wäckerle, F.; Wagner, A.; Ward, C. P.; Ward, D. R.; Watkins, P. M.; Watson, A. T.; Watson, N. K.; Wells, P. S.; Wermes, N.; White, J. S.; Wilson, G. W.; Wilson, J. A.; Wyatt, T. R.; Yamashita, S.; Yekutieli, G.; Zacek, V.; Zer-Zion, D.

In: European Physical Journal C, Vol. 7, No. 4, 01.01.1999, p. 571-593.

Research output: Contribution to journalArticle

Ackerstaff, K, Alexander, G, Allison, J, Altekamp, N, Anderson, KJ, Anderson, S, Arcelli, S, Asai, S, Ashby, SF, Axen, D, Azuelos, G, Ball, AH, Barberio, E, Barlow, RJ, Bartoldus, R, Batley, JR, Baumann, S, Bechtluft, J, Behnke, T, Bell, KW, Bella, G, Bentvelsen, S, Bethke, S, Betts, S, Biebel, O, Biguzzi, A, Bird, SD, Blobel, V, Bloodworth, IJ, Bobinski, M, Bock, P, Böhme, J, Boutemeur, M, Braibant, S, Bright-Thomas, P, Brown, RM, Burckhart, HJ, Burgard, C, Bürgin, R, Capiluppi, P, Carnegie, RK, Carter, AA, Carter, JR, Chang, CY, Charlton, DG, Chrisman, D, Ciocca, C, Clarke, PEL, Clay, E, Cohen, I, Conboy, JE, Cooke, OC, Couyoumtzelis, C, Coxe, RL, Cuffiani, M, Dado, S, Dallavalle, GM, Davis, R, de Jong, S, del Pozo, LA, de Roeck, A, Desch, K, Dienes, B, Dixit, MS, Doucet, M, Dubbert, J, Duchovni, E, Duckeck, G, Duerdoth, IP, Eatough, D, Estabrooks, PG, Etzion, E, Evans, HG, Fabbri, F, Fanfani, A, Fanti, M, Faust, AA, Fiedler, F, Fierro, M, Fischer, HM, Fleck, I, Folman, R, Fürtjes, A, Futyan, DI, Gagnon, P, Gary, JW, Gascon, J, Gascon-Shotkin, SM, Geich-Gimbel, C, Geralis, T, Giacomelli, G, Giacomelli, P, Gibson, V, Gibson, WR, Gingrich, DM, Glenzinski, D, Goldberg, J, Gorn, W, Grandi, C, Gross, E, Grunhaus, J, Gruwé, M, Hanson, GG, Hansroul, M, Hapke, M, Hargrove, CK, Hartmann, C, Hauschild, M, Hawkes, CM, Hawkings, R, Hemingway, RJ, Herndon, M, Herten, G, Heuer, RD, Hildreth, MD, Hill, JC, Hillier, SJ, Hobson, PR, Hocker, A, Homer, RJ, Honma, AK, Horváth, D, Hossain, KR, Howard, R, Hüntemeyer, P, Igo-Kemenes, P, Imrie, DC, Ishii, K, Jacob, FR, Jawahery, A, Jeremie, H, Jimack, M, Joly, A, Jones, CR, Jovanovic, P, Junk, TR, Karlen, D, Kartvelishvili, V, Kawagoe, K, Kawamoto, T, Kayal, PI, Keeler, RK, Kellogg, RG, Kennedy, BW, Klier, A, Kluth, S, Kobayashi, T, Kobel, M, Koetke, DS, Kokott, TP, Kolrep, M, Komamiya, S, Kowalewski, RV, Kress, T, Krieger, P, von Krogh, J, Kyberd, P, Lafferty, GD, Lanske, D, Lauber, J, Lautenschlager, SR, Lawson, I, Layter, JG, Lazic, D, Lee, AM, Lefebvre, E, Lellouch, D, Letts, J, Levinson, L, Liebisch, R, List, B, Littlewood, C, Lloyd, AW, Lloyd, SL, Loebinger, FK, Long, GD, Losty, MJ, Ludwig, J, Liu, D, Macchiolo, A, Macpherson, A, Mannelli, M, Marcellini, S, Markopoulos, C, Martin, AJ, Martin, JP, Martinez, G, Mashimo, T, Mättig, P, McDonald, WJ, McKenna, J, Mckigney, EA, McMahon, TJ, McPherson, RA, Meijers, F, Menke, S, Merritt, FS, Mes, H, Meyer, J, Michelini, A, Mihara, S, Mikenberg, G, Miller, DJ, Mir, R, Mohr, W, Montanari, A, Mori, T, Nagai, K, Nakamura, I, Neal, HA, Nellen, B, Nisius, R, O'Neale, SW, Oakham, FG, Odorici, F, Ogren, HO, Oreglia, MJ, Orito, S, Pálinkás, J, Pásztor, G, Pater, JR, Patrick, GN, Patt, J, Perez-Ochoa, R, Petzold, S, Pfeifenschneider, P, Pilcher, JE, Pinfold, J, Plane, DE, Poffenberger, P, Poli, B, Polok, J, Przybycień, M, Rembser, C, Rick, H, Robertson, S, Robins, SA, Rodning, N, Roney, JM, Roscoe, K, Rossi, AM, Rozen, Y, Runge, K, Runolfsson, O, Rust, DR, Sachs, K, Saeki, T, Sahr, O, Sang, WM, Sarkisyan, EKG, Sbarra, C, Schaile, AD, Schaile, O, Scharf, F, Scharff-Hansen, P, Schieck, J, Schmitt, B, Schmitt, S, Schöning, A, Schorner, T, Schräder, M, Schumacher, M, Schwick, C, Scott, WG, Seuster, R, Shears, TG, Shen, BC, Shepherd-Themistocleous, CH, Sherwood, P, Siroli, GP, Sittler, A, Skuja, A, Smith, AM, Snow, GA, Sobie, R, Söldner-Rembold, S, Sproston, M, Stahl, A, Stephens, K, Steuerer, J, Stoll, K, Strom, D, Ströhmer, R, Tafirout, R, Talbot, SD, Tanaka, S, Taras, P, Tarem, S, Teuscher, R, Thiergen, M, Thomson, MA, von Törne, E, Torrence, E, Towers, S, Trigger, I, Trócsányi, Z, Tsur, E, Turcot, AS, Turner-Watson, MF, van Kooten, R, Vannerem, P, Verzocchi, M, Vikas, P, Voss, H, Wäckerle, F, Wagner, A, Ward, CP, Ward, DR, Watkins, PM, Watson, AT, Watson, NK, Wells, PS, Wermes, N, White, JS, Wilson, GW, Wilson, JA, Wyatt, TR, Yamashita, S, Yekutieli, G, Zacek, V & Zer-Zion, D 1999, 'Measurement of the strong coupling constant αs and the vector and axial-vector spectral functions in hadronic tau decays the opal collaboration', European Physical Journal C, vol. 7, no. 4, pp. 571-593.
Ackerstaff, K. ; Alexander, G. ; Allison, J. ; Altekamp, N. ; Anderson, K. J. ; Anderson, S. ; Arcelli, S. ; Asai, S. ; Ashby, S. F. ; Axen, D. ; Azuelos, G. ; Ball, A. H. ; Barberio, E. ; Barlow, R. J. ; Bartoldus, R. ; Batley, J. R. ; Baumann, S. ; Bechtluft, J. ; Behnke, T. ; Bell, K. W. ; Bella, G. ; Bentvelsen, S. ; Bethke, S. ; Betts, S. ; Biebel, O. ; Biguzzi, A. ; Bird, S. D. ; Blobel, V. ; Bloodworth, I. J. ; Bobinski, M. ; Bock, P. ; Böhme, J. ; Boutemeur, M. ; Braibant, S. ; Bright-Thomas, P. ; Brown, R. M. ; Burckhart, H. J. ; Burgard, C. ; Bürgin, R. ; Capiluppi, P. ; Carnegie, R. K. ; Carter, A. A. ; Carter, J. R. ; Chang, C. Y. ; Charlton, D. G. ; Chrisman, D. ; Ciocca, C. ; Clarke, P. E.L. ; Clay, E. ; Cohen, I. ; Conboy, J. E. ; Cooke, O. C. ; Couyoumtzelis, C. ; Coxe, R. L. ; Cuffiani, M. ; Dado, S. ; Dallavalle, G. M. ; Davis, R. ; de Jong, S. ; del Pozo, L. A. ; de Roeck, A. ; Desch, K. ; Dienes, B. ; Dixit, M. S. ; Doucet, M. ; Dubbert, J. ; Duchovni, E. ; Duckeck, G. ; Duerdoth, I. P. ; Eatough, D. ; Estabrooks, P. G. ; Etzion, E. ; Evans, H. G. ; Fabbri, F. ; Fanfani, A. ; Fanti, M. ; Faust, A. A. ; Fiedler, F. ; Fierro, M. ; Fischer, H. M. ; Fleck, I. ; Folman, R. ; Fürtjes, A. ; Futyan, D. I. ; Gagnon, P. ; Gary, J. W. ; Gascon, J. ; Gascon-Shotkin, S. M. ; Geich-Gimbel, C. ; Geralis, T. ; Giacomelli, G. ; Giacomelli, P. ; Gibson, V. ; Gibson, W. R. ; Gingrich, D. M. ; Glenzinski, D. ; Goldberg, J. ; Gorn, W. ; Grandi, C. ; Gross, E. ; Grunhaus, J. ; Gruwé, M. ; Hanson, G. G. ; Hansroul, M. ; Hapke, M. ; Hargrove, C. K. ; Hartmann, C. ; Hauschild, M. ; Hawkes, C. M. ; Hawkings, R. ; Hemingway, R. J. ; Herndon, M. ; Herten, G. ; Heuer, R. D. ; Hildreth, M. D. ; Hill, J. C. ; Hillier, S. J. ; Hobson, P. R. ; Hocker, A. ; Homer, R. J. ; Honma, A. K. ; Horváth, D. ; Hossain, K. R. ; Howard, R. ; Hüntemeyer, P. ; Igo-Kemenes, P. ; Imrie, D. C. ; Ishii, K. ; Jacob, F. R. ; Jawahery, A. ; Jeremie, H. ; Jimack, M. ; Joly, A. ; Jones, C. R. ; Jovanovic, P. ; Junk, T. R. ; Karlen, D. ; Kartvelishvili, V. ; Kawagoe, K. ; Kawamoto, T. ; Kayal, P. I. ; Keeler, R. K. ; Kellogg, R. G. ; Kennedy, B. W. ; Klier, A. ; Kluth, S. ; Kobayashi, T. ; Kobel, M. ; Koetke, D. S. ; Kokott, T. P. ; Kolrep, M. ; Komamiya, Sachio ; Kowalewski, R. V. ; Kress, T. ; Krieger, P. ; von Krogh, J. ; Kyberd, P. ; Lafferty, G. D. ; Lanske, D. ; Lauber, J. ; Lautenschlager, S. R. ; Lawson, I. ; Layter, J. G. ; Lazic, D. ; Lee, A. M. ; Lefebvre, E. ; Lellouch, D. ; Letts, J. ; Levinson, L. ; Liebisch, R. ; List, B. ; Littlewood, C. ; Lloyd, A. W. ; Lloyd, S. L. ; Loebinger, F. K. ; Long, G. D. ; Losty, M. J. ; Ludwig, J. ; Liu, D. ; Macchiolo, A. ; Macpherson, A. ; Mannelli, M. ; Marcellini, S. ; Markopoulos, C. ; Martin, A. J. ; Martin, J. P. ; Martinez, G. ; Mashimo, T. ; Mättig, P. ; McDonald, W. J. ; McKenna, J. ; Mckigney, E. A. ; McMahon, T. J. ; McPherson, R. A. ; Meijers, F. ; Menke, S. ; Merritt, F. S. ; Mes, H. ; Meyer, J. ; Michelini, A. ; Mihara, S. ; Mikenberg, G. ; Miller, D. J. ; Mir, R. ; Mohr, W. ; Montanari, A. ; Mori, T. ; Nagai, K. ; Nakamura, I. ; Neal, H. A. ; Nellen, B. ; Nisius, R. ; O'Neale, S. W. ; Oakham, F. G. ; Odorici, F. ; Ogren, H. O. ; Oreglia, M. J. ; Orito, S. ; Pálinkás, J. ; Pásztor, G. ; Pater, J. R. ; Patrick, G. N. ; Patt, J. ; Perez-Ochoa, R. ; Petzold, S. ; Pfeifenschneider, P. ; Pilcher, J. E. ; Pinfold, J. ; Plane, D. E. ; Poffenberger, P. ; Poli, B. ; Polok, J. ; Przybycień, M. ; Rembser, C. ; Rick, H. ; Robertson, S. ; Robins, S. A. ; Rodning, N. ; Roney, J. M. ; Roscoe, K. ; Rossi, A. M. ; Rozen, Y. ; Runge, K. ; Runolfsson, O. ; Rust, D. R. ; Sachs, K. ; Saeki, T. ; Sahr, O. ; Sang, W. M. ; Sarkisyan, E. K.G. ; Sbarra, C. ; Schaile, A. D. ; Schaile, O. ; Scharf, F. ; Scharff-Hansen, P. ; Schieck, J. ; Schmitt, B. ; Schmitt, S. ; Schöning, A. ; Schorner, T. ; Schräder, M. ; Schumacher, M. ; Schwick, C. ; Scott, W. G. ; Seuster, R. ; Shears, T. G. ; Shen, B. C. ; Shepherd-Themistocleous, C. H. ; Sherwood, P. ; Siroli, G. P. ; Sittler, A. ; Skuja, A. ; Smith, A. M. ; Snow, G. A. ; Sobie, R. ; Söldner-Rembold, S. ; Sproston, M. ; Stahl, A. ; Stephens, K. ; Steuerer, J. ; Stoll, K. ; Strom, D. ; Ströhmer, R. ; Tafirout, R. ; Talbot, S. D. ; Tanaka, S. ; Taras, P. ; Tarem, S. ; Teuscher, R. ; Thiergen, M. ; Thomson, M. A. ; von Törne, E. ; Torrence, E. ; Towers, S. ; Trigger, I. ; Trócsányi, Z. ; Tsur, E. ; Turcot, A. S. ; Turner-Watson, M. F. ; van Kooten, R. ; Vannerem, P. ; Verzocchi, M. ; Vikas, P. ; Voss, H. ; Wäckerle, F. ; Wagner, A. ; Ward, C. P. ; Ward, D. R. ; Watkins, P. M. ; Watson, A. T. ; Watson, N. K. ; Wells, P. S. ; Wermes, N. ; White, J. S. ; Wilson, G. W. ; Wilson, J. A. ; Wyatt, T. R. ; Yamashita, S. ; Yekutieli, G. ; Zacek, V. ; Zer-Zion, D. / Measurement of the strong coupling constant αs and the vector and axial-vector spectral functions in hadronic tau decays the opal collaboration. In: European Physical Journal C. 1999 ; Vol. 7, No. 4. pp. 571-593.
@article{01cc0e84caa14817989317f18b300f7b,
title = "Measurement of the strong coupling constant αs and the vector and axial-vector spectral functions in hadronic tau decays the opal collaboration",
abstract = "The spectral functions of the vector current and the axial-vector current have been measured in hadronic τ decays using the OPAL detector at LEP. Within the framework of the Operator Product Expansion a simultaneous determination of the strong coupling constant αs, the non-perturbative operators of dimension 6 and 8 and of the gluon condensate has been performed. Different perturbative descriptions have been compared to the data. The Contour Improved Fixed Order Perturbation Theory gives αs(mτ 2) = 0.348 ± 0.009exp ± 0.019theo at the τ-mass scale and αs(mZ 2) = 0.1219 ± 0.0010exp ± 0.0017theo at the Z°- mass scale. The values obtained for αs(mZ 2) using Fixed Order Perturbation Theory or Renormalon Chain Resummation are 2.3{\%} and 4.1{\%} smaller, respectively. The 'running' of the strong coupling between S0 ≃ 1.3 GeV2 and S0 = mτ 2 has been tested from direct fits to the integrated differential hadronic decay rate Rτ(s0). A test of the saturation of QCD sum rules at the τ-mass scale has been performed.",
author = "K. Ackerstaff and G. Alexander and J. Allison and N. Altekamp and Anderson, {K. J.} and S. Anderson and S. Arcelli and S. Asai and Ashby, {S. F.} and D. Axen and G. Azuelos and Ball, {A. H.} and E. Barberio and Barlow, {R. J.} and R. Bartoldus and Batley, {J. R.} and S. Baumann and J. Bechtluft and T. Behnke and Bell, {K. W.} and G. Bella and S. Bentvelsen and S. Bethke and S. Betts and O. Biebel and A. Biguzzi and Bird, {S. D.} and V. Blobel and Bloodworth, {I. J.} and M. Bobinski and P. Bock and J. B{\"o}hme and M. Boutemeur and S. Braibant and P. Bright-Thomas and Brown, {R. M.} and Burckhart, {H. J.} and C. Burgard and R. B{\"u}rgin and P. Capiluppi and Carnegie, {R. K.} and Carter, {A. A.} and Carter, {J. R.} and Chang, {C. Y.} and Charlton, {D. G.} and D. Chrisman and C. Ciocca and Clarke, {P. E.L.} and E. Clay and I. Cohen and Conboy, {J. E.} and Cooke, {O. C.} and C. Couyoumtzelis and Coxe, {R. L.} and M. Cuffiani and S. Dado and Dallavalle, {G. M.} and R. Davis and {de Jong}, S. and {del Pozo}, {L. A.} and {de Roeck}, A. and K. Desch and B. Dienes and Dixit, {M. S.} and M. Doucet and J. Dubbert and E. Duchovni and G. Duckeck and Duerdoth, {I. P.} and D. Eatough and Estabrooks, {P. G.} and E. Etzion and Evans, {H. G.} and F. Fabbri and A. Fanfani and M. Fanti and Faust, {A. A.} and F. Fiedler and M. Fierro and Fischer, {H. M.} and I. Fleck and R. Folman and A. F{\"u}rtjes and Futyan, {D. I.} and P. Gagnon and Gary, {J. W.} and J. Gascon and Gascon-Shotkin, {S. M.} and C. Geich-Gimbel and T. Geralis and G. Giacomelli and P. Giacomelli and V. Gibson and Gibson, {W. R.} and Gingrich, {D. M.} and D. Glenzinski and J. Goldberg and W. Gorn and C. Grandi and E. Gross and J. Grunhaus and M. Gruw{\'e} and Hanson, {G. G.} and M. Hansroul and M. Hapke and Hargrove, {C. K.} and C. Hartmann and M. Hauschild and Hawkes, {C. M.} and R. Hawkings and Hemingway, {R. J.} and M. Herndon and G. Herten and Heuer, {R. D.} and Hildreth, {M. D.} and Hill, {J. C.} and Hillier, {S. J.} and Hobson, {P. R.} and A. Hocker and Homer, {R. J.} and Honma, {A. K.} and D. Horv{\'a}th and Hossain, {K. R.} and R. Howard and P. H{\"u}ntemeyer and P. Igo-Kemenes and Imrie, {D. C.} and K. Ishii and Jacob, {F. R.} and A. Jawahery and H. Jeremie and M. Jimack and A. Joly and Jones, {C. R.} and P. Jovanovic and Junk, {T. R.} and D. Karlen and V. Kartvelishvili and K. Kawagoe and T. Kawamoto and Kayal, {P. I.} and Keeler, {R. K.} and Kellogg, {R. G.} and Kennedy, {B. W.} and A. Klier and S. Kluth and T. Kobayashi and M. Kobel and Koetke, {D. S.} and Kokott, {T. P.} and M. Kolrep and Sachio Komamiya and Kowalewski, {R. V.} and T. Kress and P. Krieger and {von Krogh}, J. and P. Kyberd and Lafferty, {G. D.} and D. Lanske and J. Lauber and Lautenschlager, {S. R.} and I. Lawson and Layter, {J. G.} and D. Lazic and Lee, {A. M.} and E. Lefebvre and D. Lellouch and J. Letts and L. Levinson and R. Liebisch and B. List and C. Littlewood and Lloyd, {A. W.} and Lloyd, {S. L.} and Loebinger, {F. K.} and Long, {G. D.} and Losty, {M. J.} and J. Ludwig and D. Liu and A. Macchiolo and A. Macpherson and M. Mannelli and S. Marcellini and C. Markopoulos and Martin, {A. J.} and Martin, {J. P.} and G. Martinez and T. Mashimo and P. M{\"a}ttig and McDonald, {W. J.} and J. McKenna and Mckigney, {E. A.} and McMahon, {T. J.} and McPherson, {R. A.} and F. Meijers and S. Menke and Merritt, {F. S.} and H. Mes and J. Meyer and A. Michelini and S. Mihara and G. Mikenberg and Miller, {D. J.} and R. Mir and W. Mohr and A. Montanari and T. Mori and K. Nagai and I. Nakamura and Neal, {H. A.} and B. Nellen and R. Nisius and O'Neale, {S. W.} and Oakham, {F. G.} and F. Odorici and Ogren, {H. O.} and Oreglia, {M. J.} and S. Orito and J. P{\'a}link{\'a}s and G. P{\'a}sztor and Pater, {J. R.} and Patrick, {G. N.} and J. Patt and R. Perez-Ochoa and S. Petzold and P. Pfeifenschneider and Pilcher, {J. E.} and J. Pinfold and Plane, {D. E.} and P. Poffenberger and B. Poli and J. Polok and M. Przybycień and C. Rembser and H. Rick and S. Robertson and Robins, {S. A.} and N. Rodning and Roney, {J. M.} and K. Roscoe and Rossi, {A. M.} and Y. Rozen and K. Runge and O. Runolfsson and Rust, {D. R.} and K. Sachs and T. Saeki and O. Sahr and Sang, {W. M.} and Sarkisyan, {E. K.G.} and C. Sbarra and Schaile, {A. D.} and O. Schaile and F. Scharf and P. Scharff-Hansen and J. Schieck and B. Schmitt and S. Schmitt and A. Sch{\"o}ning and T. Schorner and M. Schr{\"a}der and M. Schumacher and C. Schwick and Scott, {W. G.} and R. Seuster and Shears, {T. G.} and Shen, {B. C.} and Shepherd-Themistocleous, {C. H.} and P. Sherwood and Siroli, {G. P.} and A. Sittler and A. Skuja and Smith, {A. M.} and Snow, {G. A.} and R. Sobie and S. S{\"o}ldner-Rembold and M. Sproston and A. Stahl and K. Stephens and J. Steuerer and K. Stoll and D. Strom and R. Str{\"o}hmer and R. Tafirout and Talbot, {S. D.} and S. Tanaka and P. Taras and S. Tarem and R. Teuscher and M. Thiergen and Thomson, {M. A.} and {von T{\"o}rne}, E. and E. Torrence and S. Towers and I. Trigger and Z. Tr{\'o}cs{\'a}nyi and E. Tsur and Turcot, {A. S.} and Turner-Watson, {M. F.} and {van Kooten}, R. and P. Vannerem and M. Verzocchi and P. Vikas and H. Voss and F. W{\"a}ckerle and A. Wagner and Ward, {C. P.} and Ward, {D. R.} and Watkins, {P. M.} and Watson, {A. T.} and Watson, {N. K.} and Wells, {P. S.} and N. Wermes and White, {J. S.} and Wilson, {G. W.} and Wilson, {J. A.} and Wyatt, {T. R.} and S. Yamashita and G. Yekutieli and V. Zacek and D. Zer-Zion",
year = "1999",
month = "1",
day = "1",
language = "English",
volume = "7",
pages = "571--593",
journal = "European Physical Journal C",
issn = "1434-6044",
publisher = "Springer New York",
number = "4",

}

TY - JOUR

T1 - Measurement of the strong coupling constant αs and the vector and axial-vector spectral functions in hadronic tau decays the opal collaboration

AU - Ackerstaff, K.

AU - Alexander, G.

AU - Allison, J.

AU - Altekamp, N.

AU - Anderson, K. J.

AU - Anderson, S.

AU - Arcelli, S.

AU - Asai, S.

AU - Ashby, S. F.

AU - Axen, D.

AU - Azuelos, G.

AU - Ball, A. H.

AU - Barberio, E.

AU - Barlow, R. J.

AU - Bartoldus, R.

AU - Batley, J. R.

AU - Baumann, S.

AU - Bechtluft, J.

AU - Behnke, T.

AU - Bell, K. W.

AU - Bella, G.

AU - Bentvelsen, S.

AU - Bethke, S.

AU - Betts, S.

AU - Biebel, O.

AU - Biguzzi, A.

AU - Bird, S. D.

AU - Blobel, V.

AU - Bloodworth, I. J.

AU - Bobinski, M.

AU - Bock, P.

AU - Böhme, J.

AU - Boutemeur, M.

AU - Braibant, S.

AU - Bright-Thomas, P.

AU - Brown, R. M.

AU - Burckhart, H. J.

AU - Burgard, C.

AU - Bürgin, R.

AU - Capiluppi, P.

AU - Carnegie, R. K.

AU - Carter, A. A.

AU - Carter, J. R.

AU - Chang, C. Y.

AU - Charlton, D. G.

AU - Chrisman, D.

AU - Ciocca, C.

AU - Clarke, P. E.L.

AU - Clay, E.

AU - Cohen, I.

AU - Conboy, J. E.

AU - Cooke, O. C.

AU - Couyoumtzelis, C.

AU - Coxe, R. L.

AU - Cuffiani, M.

AU - Dado, S.

AU - Dallavalle, G. M.

AU - Davis, R.

AU - de Jong, S.

AU - del Pozo, L. A.

AU - de Roeck, A.

AU - Desch, K.

AU - Dienes, B.

AU - Dixit, M. S.

AU - Doucet, M.

AU - Dubbert, J.

AU - Duchovni, E.

AU - Duckeck, G.

AU - Duerdoth, I. P.

AU - Eatough, D.

AU - Estabrooks, P. G.

AU - Etzion, E.

AU - Evans, H. G.

AU - Fabbri, F.

AU - Fanfani, A.

AU - Fanti, M.

AU - Faust, A. A.

AU - Fiedler, F.

AU - Fierro, M.

AU - Fischer, H. M.

AU - Fleck, I.

AU - Folman, R.

AU - Fürtjes, A.

AU - Futyan, D. I.

AU - Gagnon, P.

AU - Gary, J. W.

AU - Gascon, J.

AU - Gascon-Shotkin, S. M.

AU - Geich-Gimbel, C.

AU - Geralis, T.

AU - Giacomelli, G.

AU - Giacomelli, P.

AU - Gibson, V.

AU - Gibson, W. R.

AU - Gingrich, D. M.

AU - Glenzinski, D.

AU - Goldberg, J.

AU - Gorn, W.

AU - Grandi, C.

AU - Gross, E.

AU - Grunhaus, J.

AU - Gruwé, M.

AU - Hanson, G. G.

AU - Hansroul, M.

AU - Hapke, M.

AU - Hargrove, C. K.

AU - Hartmann, C.

AU - Hauschild, M.

AU - Hawkes, C. M.

AU - Hawkings, R.

AU - Hemingway, R. J.

AU - Herndon, M.

AU - Herten, G.

AU - Heuer, R. D.

AU - Hildreth, M. D.

AU - Hill, J. C.

AU - Hillier, S. J.

AU - Hobson, P. R.

AU - Hocker, A.

AU - Homer, R. J.

AU - Honma, A. K.

AU - Horváth, D.

AU - Hossain, K. R.

AU - Howard, R.

AU - Hüntemeyer, P.

AU - Igo-Kemenes, P.

AU - Imrie, D. C.

AU - Ishii, K.

AU - Jacob, F. R.

AU - Jawahery, A.

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PY - 1999/1/1

Y1 - 1999/1/1

N2 - The spectral functions of the vector current and the axial-vector current have been measured in hadronic τ decays using the OPAL detector at LEP. Within the framework of the Operator Product Expansion a simultaneous determination of the strong coupling constant αs, the non-perturbative operators of dimension 6 and 8 and of the gluon condensate has been performed. Different perturbative descriptions have been compared to the data. The Contour Improved Fixed Order Perturbation Theory gives αs(mτ 2) = 0.348 ± 0.009exp ± 0.019theo at the τ-mass scale and αs(mZ 2) = 0.1219 ± 0.0010exp ± 0.0017theo at the Z°- mass scale. The values obtained for αs(mZ 2) using Fixed Order Perturbation Theory or Renormalon Chain Resummation are 2.3% and 4.1% smaller, respectively. The 'running' of the strong coupling between S0 ≃ 1.3 GeV2 and S0 = mτ 2 has been tested from direct fits to the integrated differential hadronic decay rate Rτ(s0). A test of the saturation of QCD sum rules at the τ-mass scale has been performed.

AB - The spectral functions of the vector current and the axial-vector current have been measured in hadronic τ decays using the OPAL detector at LEP. Within the framework of the Operator Product Expansion a simultaneous determination of the strong coupling constant αs, the non-perturbative operators of dimension 6 and 8 and of the gluon condensate has been performed. Different perturbative descriptions have been compared to the data. The Contour Improved Fixed Order Perturbation Theory gives αs(mτ 2) = 0.348 ± 0.009exp ± 0.019theo at the τ-mass scale and αs(mZ 2) = 0.1219 ± 0.0010exp ± 0.0017theo at the Z°- mass scale. The values obtained for αs(mZ 2) using Fixed Order Perturbation Theory or Renormalon Chain Resummation are 2.3% and 4.1% smaller, respectively. The 'running' of the strong coupling between S0 ≃ 1.3 GeV2 and S0 = mτ 2 has been tested from direct fits to the integrated differential hadronic decay rate Rτ(s0). A test of the saturation of QCD sum rules at the τ-mass scale has been performed.

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M3 - Article

VL - 7

SP - 571

EP - 593

JO - European Physical Journal C

JF - European Physical Journal C

SN - 1434-6044

IS - 4

ER -