Numerical implementation of the loop-tree duality method

被引：49

作者：

Buchta, Sebastian ^{[1
]}

Chachamis, Grigorios ^{[2
]}

Draggiotis, Petros ^{[3
]}

Rodrigo, German ^{[1
]}

机构：

[1] Univ Valencia, Consejo Super Invest Cient, Inst Fis Corpuscular, Parc Cient, Valencia 46980, Spain

[2] Univ Autonoma Madrid, Inst Fis Teor UAM CSIC, C Nicolas Cabrera 15, E-28049 Madrid, Spain

[3] NCSR Demokritos, Inst Nucl & Particle Phys, Aghia Paraskevi 15310, Greece

来源：

EUROPEAN PHYSICAL JOURNAL C | 2017年 / 77卷 / 05期

关键词：

QCD CALCULATIONS; INTEGRATION;

D O I：

10.1140/epjc/s10052-017-4833-6

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 a first numerical implementation of the loop-tree duality (LTD) method for the direct numerical computation of multi-leg one-loop Feynman integrals. We discuss in detail the singular structure of the dual integrands and define a suitable contour deformation in the loop three-momentum space to carry out the numerical integration. Then we apply the LTD method to the computation of ultraviolet and infrared finite integrals, and we present explicit results for scalar and tensor integrals with up to eight external legs (octagons). The LTD method features an excellent performance independently of the number of external legs.

引用

页数：15

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