Five-loop vacuum polarization in pQCD:: O(mq2αs4nf2) contribution

被引:17
作者
Baikov, PA [1 ]
Chetyrkin, KG
Kühn, JH
机构
[1] Moscow MV Lomonosov State Univ, Inst Nucl Phys, Moscow 119992, Russia
[2] Univ Freiburg, Fak Phys, D-79104 Freiburg, Germany
[3] Univ Karlsruhe, Inst Theoret Teilchenphys, D-76128 Karlsruhe, Germany
基金
俄罗斯基础研究基金会;
关键词
D O I
10.1016/S0370-2693(03)00186-2
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present the analytical calculation of the contribution of order m(q)(2)alpha(s)(4)n(f)(2) to the absorptive part of the vacuum polarization function of vector cuffents. This term constitutes an important gauge-invariant part of the full O(m(q)(2)alpha(s)(4)) coffection to the total cross-section of e(+)e(-) annihilation into hadrons. The results are compared to predictions following from various optimization schemes. (C) 2003 Published by Elsevier Science B.V.
引用
收藏
页码:245 / 251
页数:7
相关论文
共 55 条
[1]  
[Anonymous], P282900 JINR
[2]   Three-loop vacuum integrals in FORM and REDUCE [J].
Baikov, PA ;
Steinhauser, M .
COMPUTER PHYSICS COMMUNICATIONS, 1998, 115 (2-3) :161-169
[3]   Explicit solutions of the 3-loop vacuum integral recurrence relations [J].
Baikov, PA .
PHYSICS LETTERS B, 1996, 385 (1-4) :404-410
[4]   Criterion of irreducibility of multi-loop Feynman integrals [J].
Baikov, PA .
PHYSICS LETTERS B, 2000, 474 (3-4) :385-388
[6]   Cross section of e+e- annihilation into hadrons of order αs4n2f in perturbative QCD -: art. no. 012001 [J].
Baikov, PA ;
Chetyrkin, KG ;
Kühn, JH .
PHYSICAL REVIEW LETTERS, 2002, 88 (01) :4
[7]  
BAIKOV PA, HEPPH0212299
[8]   DEEP-INELASTIC SCATTERING BEYOND THE LEADING ORDER IN ASYMPTOTICALLY FREE GAUGE THEORIES [J].
BARDEEN, WA ;
BURAS, AJ ;
DUKE, DW ;
MUTA, T .
PHYSICAL REVIEW D, 1978, 18 (11) :3998-4017
[9]   LARGE-ORDER PERTURBATION-THEORY FOR A PHYSICAL QUANTITY [J].
BENEKE, M .
NUCLEAR PHYSICS B, 1993, 405 (2-3) :424-450
[10]   Matching QCD and heavy-quark effective theory heavy-light currents at two loops and beyond [J].
Broadhurst, DJ ;
Grozin, AG .
PHYSICAL REVIEW D, 1995, 52 (07) :4082-4098