Two-loop QCD corrections to the heavy quark form factors: Axial vector contributions

被引:68
作者
Bernreuther, W [1 ]
Bonciani, R
Gehrmann, T
Heinesch, R
Leineweber, T
Mastrolia, P
Remiddi, E
机构
[1] Rhein Westfal TH Aachen, Inst Theoret Phys, D-52056 Aachen, Germany
[2] Univ Freiburg, Fak Math & Phys, D-79104 Freiburg, Germany
[3] Univ Zurich, Inst Theoret Phys, CH-8057 Zurich, Switzerland
[4] Univ Calif Los Angeles, Dept Phys & Astron, Los Angeles, CA 90095 USA
[5] Univ Bologna, Dipartimento Fis, I-40126 Bologna, Italy
[6] INFN, Sez Bologna, I-40126 Bologna, Italy
关键词
Feynman diagrams; multi-loop calculations; vertex diagrams; heavy quarks;
D O I
10.1016/j.nuclphysb.2005.01.035
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We consider the Z* Q Q vertex to order alpha(2)(S) in the QCD coupling for an on-shell massive quark-antiquark pair and for arbitrary momentum transfer of the Z boson. We present closed analytic expressions for the two parity-violating form factors of that vertex at the two-loop level in QCD, excluding the contributions from triangle diagrams. These form factors are expressed in terms of 1-dimensional harmonic polylogarithms of maximum weight 4. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:229 / 286
页数:58
相关论文
共 28 条
[1]   Two-loop QCD corrections to the heavy quark form factors: the vector contributions [J].
Bernreuther, W ;
Bonciani, R ;
Gehrmann, T ;
Heinesch, R ;
Leineweber, T ;
Mastrolia, P ;
Remiddi, E .
NUCLEAR PHYSICS B, 2005, 706 (1-2) :245-324
[2]  
BERNREUTHER W, UNPUB, P75006
[3]   Vertex diagrams for the QED form factors at the 2-loop level (vol 661, pg 289, 2003) [J].
Bonciani, R ;
Mastrolia, P ;
Remiddi, E .
NUCLEAR PHYSICS B, 2004, 702 (1-2) :359-363
[4]  
Bonciani R, 2004, NUCL PHYS B, V690, P138, DOI [10.1016/j.nuclphysb.2004.04.011, 10.1016/j.nuciphysb.2004.04.011]
[5]   QED vertex form factors at two loops [J].
Bonciani, R ;
Mastrolia, P ;
Remiddi, E .
NUCLEAR PHYSICS B, 2004, 676 (1-2) :399-452
[6]   Vertex diagrams for the QED form factors at the 2-loop level [J].
Bonciani, R ;
Matrolia, P ;
Remiddi, E .
NUCLEAR PHYSICS B, 2003, 661 (1-2) :289-343
[7]   GAUGE-INVARIANT ON-SHELL Z2 IN QED, QCD AND THE EFFECTIVE FIELD-THEORY OF A STATIC QUARK [J].
BROADHURST, DJ ;
GRAY, N ;
SCHILCHER, K .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1991, 52 (01) :111-122
[8]  
Caffo M, 1998, NUOVO CIMENTO A, V111, P365
[9]   INTEGRATION BY PARTS - THE ALGORITHM TO CALCULATE BETA-FUNCTIONS IN 4-LOOPS [J].
CHETYRKIN, KG ;
TKACHOV, FV .
NUCLEAR PHYSICS B, 1981, 192 (01) :159-204
[10]  
*ECFA DESY LC PHYS, 2001011 ECFA DESY LC