Automatic computation of three-loop two-point functions in large momentum expansion

被引：9
|
作者：
Chetyrkin, KG
Harlander, R
Kuhn, JH
Steinhauser, M
机构：
[1] RUSSIAN ACAD SCI,INST NUCL RES,MOSCOW 117312,RUSSIA
[2] UNIV KARLSRUHE,INST THEORET TEILCHENPHYS,D-76128 KARLSRUHE,GERMANY
来源：
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT | 1997年 / 389卷 / 1-2期
关键词：
D O I：
10.1016/S0168-9002(97)00128-9
中图分类号：
TH7 [仪器、仪表];
学科分类号：
0804 ; 080401 ; 081102 ;
摘要：
We discuss the calculation of two-point three-loop functions with an arbitrary number of massive propagators and one large external momentum. The relevant subdiagrams are generated automatically. The resulting massless two-point integrals and massive tadpoles are transformed on-line to FORM-expressions ready to be used by existing FORM packages which calculate them analytically. As an example we compute the quartic mass corrections to the photon polarization function.
引用
收藏
页码：354 / 356
页数：3
相关论文
共 50 条
  • [21] Hexagon functions and the three-loop remainder function
    Dixon, Lance J.
    Drummond, James M.
    von Hippel, Matt
    Pennington, Jeffrey
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2013, (12):
  • [22] Hexagon functions and the three-loop remainder function
    Lance J. Dixon
    James M. Drummond
    Matt von Hippel
    Jeffrey Pennington
    [J]. Journal of High Energy Physics, 2013
  • [23] Perturbative two- and three-loop coefficients from large β Monte Carlo
    Lepage, GP
    Mackenzie, PB
    Shakespeare, NH
    Trottier, HD
    [J]. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2000, 83-4 : 866 - 871
  • [24] Pure spinor computation towards open string three-loop
    Park, I. Y.
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2010, (09):
  • [25] Two-point functions at two loops in three flavour chiral perturbation theory
    Amorós, G
    Bijnens, J
    Talavera, P
    [J]. NUCLEAR PHYSICS B, 2000, 568 (1-2) : 319 - 363
  • [26] Stability of the three-dimensional fixed point in a model with three coupling constants from the ε expansion:: Three-loop results
    Mudrov, AI
    Varnashev, KB
    [J]. PHYSICAL REVIEW B, 1998, 57 (10): : 5704 - 5710
  • [27] Pure spinor computation towards open string three-loop
    I. Y. Park
    [J]. Journal of High Energy Physics, 2010
  • [28] Improved approximations for the three-loop splitting functions in QCD
    van Neerven, WL
    Vogt, A
    [J]. PHYSICS LETTERS B, 2000, 490 (1-2) : 111 - 118
  • [29] The three-loop splitting functions in QCD: the singlet case
    Vogt, A
    Moch, S
    Vermaseren, JAM
    [J]. NUCLEAR PHYSICS B, 2004, 691 (1-2) : 129 - 181
  • [30] On meromorphic functions sharing three one-point or two-point sets CM
    Shirosaki, Manabu
    [J]. HIROSHIMA MATHEMATICAL JOURNAL, 2023, 53 (03) : 335 - 343
12345