The two loop crossed ladder vertex diagram with two massive exchanges

被引：48
作者：
Aglietti, U. [1 ]
Bonciani, R.
Grassi, L.
Remiddi, E.
机构：
[1] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
[2] Ist Nazl Fis Nucl, I-00185 Rome, Italy
[3] Univ Politecn Valencia, CSIC, IFIC, Dept Fis Teor, E-46071 Valencia, Spain
[4] Univ Bologna, Dipartmento Fis, I-40126 Bologna, Italy
[5] Ist Nazl Fis Nucl, I-40126 Bologna, Italy
来源：
NUCLEAR PHYSICS B | 2008年 / 789卷 / 1-2期
关键词：
Feynmn diagrams; multi-loop calculations;
D O I：
10.1016/j.nuclphysb.2007.07.019
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 compute the (three) master integrals for the crossed ladder diagram with two exchanged quanta of equal mass. The differential equations obeyed by the master integrals are used to generate power series expansions centered around all the singular (plus some regular) points, which are then matched numerically with high accuracy. The expansions allow a fast and precise numerical calculation of the three master integrals (better than 15 digits with less than 30 terms in the whole real axis). A conspicuous relation with the equal-mass sunrise in two dimensions is found. Comparison with a previous large momentum expansion is made finding complete agreement. (c) 2007 Elsevier B.V. All rights reserved.
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页码：45 / 83
页数：39
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