Abstract
In this note radiative corrections to the total hadronic decay rate of the τ-lepton are studied employing perturbative QCD and the operator product expansion. We calculate quadratic quark mass corrections to the decay rate rationR τ to the order0(α 2s m2) and find that they contribute appreciably to the Cabbibo supressed decay modes of the τ-lepton. We also discuss corrections of mass dimensionD=4, where we emphasize the need of a suitable choice of the renormalization scale of the quark and gluon condensates.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
K. Schilcher, M.D. Tran: Phys. Rev. D29 (1984) 570
E. Braaten: Phys. Rev. Lett. 53 (1988) 1606
S. Narison, A. Pich: Phys. Lett. B211 (1988) 183
E. Braaten: Phys. Rev. D39 (1989) 1458
E. Braaten, S. Narison, A. Pich: Nucl. Phys. B373 (1992) 581
F. Le Diberder, A. Pich: Phys. Lett. B286 (1992) 147
M. Luo, W.J. Marciano: Preprint BNL-47187, 1992
F. Le Diberder, A. Pich: Phys. Lett.B 289 (1992) 165
W. Marciano, A. Sirlin: Phys. Rev. Lett. 61 (1988) 1815
E. Braaten, C.S. Li: Phys. Rev. D42 (1990) 3888
K.G. Chetyrkin, A.L. Kataev, F.V. Tkachov: Phys. Lett. B85 (1979) 277; M. Dine, J. Sapirstein: Phys. Rev. Lett. 43 (1979) 668; W. Celmaster, R.J. Gonsalves: Phys. Rev. Lett. 44 (1980) 560
S.G. Gorishny, A.L. Kataev, S.A. Larin: Phys. Lett. 259 (1991) 144; L.R. Surguladze, M.A. Samuel: Phys. Rev. Lett. 66 (1991) 560, 2416 (crratum); L.R. Surguladze, M.A. Samuel: Phys. Rev. D44 (1991) 1602
S.G. Gorishny, A.L. Kataev, S.A. Larin: Nuovo Cimento 92 (1986) 119
K.G. Chetyrkin, J.H. Kühn: Phys. Lett. B248 (1990) 359
C. Becchi, S. Narisson, E. de Rafael, F.J. Yndurain: Z. Phys. C8 (1981) 335; D.J. Broadhurst: Phys. Lett. 101B (1981) 423
D.J. Broadhurst, S.C. Generalis: Open University preprint OUT-4102-12 (1984) (unpublished)
S.C. Generalis: J. Phys. G15 (1989) L225; S.C. Generalis: J. Phys. G16 (1990) L117
K.G. Chetyrkin, J.H. Kühn, A. Kwiatkowski: Phys. Lett. B282 (1992) 221
B. Kniehl, J.H. Kühn: Phys. Lett. B224 (1990) 229
B. Kniehl, J.H. Kühn: Nucl. Phys. B329 (1990) 547
K.G. Chetyrkin, A. Kwiatkowski: Preprint TTP92-39, 1992
S.G. Gorishny, A.L. Kataev, S.A. Larin, L.R. Surguladze: Mod. Phys. Lett. A5 (1990) 2703
K.G. Chetyrkin: in preparation
W. Bernreuther, W. Wetzel: Z. Phys. C11 (1981) 113
L.R. Surguladze: INR Preprint P-0639, Moscow, 1989
M.A. Shifman, A.L. Vainshtein, V.I. Zakharov: Nucl. Phys. B147 (1979) 385, 448, 519
L.J. Reinders, H. Rubinstein, S. Yazaki: Phys. Rep. 127 (1985)
K. Chetyrkin, K.G. Spiridonov: Sov. J. Nucl. Phys. 47 (1988) 3
O.V. Tarasov, A.A. Vladimirov, A.Yu. Zharkov: Phys. Lett. B93 (1980) 429
O.V. Tarasov: preprint JINR P2-82-900 (1982)
A.A. Pivovarov: Z. Phys. C53 (1992) 461
S. Narison: QCD spectral sum rules, Lecture Notes in Physics, Vol. 26. Singapore: World Scientific 1989
C.A. Dominguez, E. de Rafael: Ann. Phys. 174 (1987) 372; C.A. Dominguez, C. van Gend, N. Paver: Phys. Lett. B253 (1990) 1
Author information
Authors and Affiliations
Additional information
On leave from Institute for Nuclear Research of the Russian Academy of Sciences, Moscow, 117312, Russia
Rights and permissions
About this article
Cite this article
Chetyrkin, K.G., Kwiatkowski, A. Mass corrections to the tau decay rate. Z. Phys. C - Particles and Fields 59, 525–531 (1993). https://doi.org/10.1007/BF01498634
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01498634