QED vertex form factors at two loops

被引：61

作者：

Bonciani, R ^{[1
]}

Mastrolia, P

Remiddi, E

机构：

[1] Univ Freiburg, Fak Math & Phys, D-79104 Freiburg, Germany

[2] Univ Bologna, Dipartimento Fis, I-40026 Bologna, Italy

[3] Ist Nazl Fis Nucl, Sez Bologna, I-40026 Bologna, Italy

[4] Univ Karlsruhe, Inst Theoret Teilchenphys, D-76128 Karlsruhe, Germany

来源：

NUCLEAR PHYSICS B | 2004年 / 676卷 / 1-2期

关键词：

Feynman diagrams; multi-loop calculations; vertex diagrams; QED form factors;

D O I：

10.1016/j.nuclphysb.2003.10.031

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 present the closed analytic expression of the form factors of the two-loop QED vertex amplitude for on-shell electrons of finite mass m and arbitrary momentum transfer S = -Q(2). The calculation is carried out within the continuous D-dimensional regularization scheme, with a single continuous parameter D, the dimension of the space-time, which regularizes at the same time ultraviolet (UV) and infrared (IR) divergences. The results are expressed in terms of 1-dimensional harmonic polylogarithms of maximum weight 4. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：399 / 452

页数：54

共 24 条

[11] ANALYTIC RENORMALIZATION VIA CONTINUOUS SPACE DIMENSION [J].

CICUTA, GM ;

MONTALDI, E .

LETTERE AL NUOVO CIMENTO, 1972, 4 (09) :329-&

[12] DIMENSIONAL REGULARIZATION OF INFRARED PROBLEM [J].

GASTMANS, R ;

MEULDERMANS, R .

NUCLEAR PHYSICS B, 1973, B 63 (OCT22) :277-284

[13] Numerical evaluation of harmonic polylogarithms [J].

Gehrmann, T ;

Remiddi, E .

COMPUTER PHYSICS COMMUNICATIONS, 2001, 141 (02) :296-312

[14] Differential equations for two-loop four-point functions [J].

Gehrmann, T ;

Remiddi, E .

NUCLEAR PHYSICS B, 2000, 580 (1-2) :485-518

[15]

Kolbig K. S., 1970, BIT (Nordisk Tidskrift for Informationsbehandling), V10, P38, DOI 10.1007/BF01940890

[16] DIFFERENTIAL-EQUATIONS METHOD - NEW TECHNIQUE FOR MASSIVE FEYNMAN DIAGRAM CALCULATION [J].

KOTIKOV, AV .

PHYSICS LETTERS B, 1991, 254 (1-2) :158-164

[17] Two-loop form factors in QED [J].

Mastrolia, P ;

Remiddi, E .

NUCLEAR PHYSICS B, 2003, 664 (1-2) :341-356

[18]

Remiddi E, 1997, NUOVO CIMENTO A, V110, P1435

[19] Harmonic polylogarithms [J].

Remiddi, E ;

Vermaseren, JAM .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2000, 15 (05) :725-754

[20] REGULARIZATION AND RENORMALIZATION OF GAUGE FIELDS [J].

THOOFT, G ;

VELTMAN, M .

NUCLEAR PHYSICS B, 1972, B-44 (01) :189-+

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