Evaluating multi-loop Feynman diagrams with infrared and threshold singularities numerically

被引：34

作者：

Anastasiou, Charalampos ^{[1
]}

Beerli, Stefan

Daleo, Alejandro

机构：

[1] CERN, TH Unit, PH Dept, CH-1211 Geneva 23, Switzerland

[2] ETH, Inst Theoret Phys, CH-8093 Zurich, Switzerland

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2007年 / 05期

关键词：

NLO computations; QCD;

D O I：

10.1088/1126-6708/2007/05/071

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 method to evaluate numerically Feynman diagrams directly from their Feynman parameters representation. We first disentangle overlapping singularities using sector decomposition. Threshold singularities are treated with an appropriate contour deformation. We have validated our technique comparing wit hrecent analytic results for gg -> h two-loop amplitudes with heavy quarks and scalar quarks.

引用

页数：10

共 22 条

[1] Analytic results for virtual QCD corrections to Higgs production and decay [J].

Aglietti, Ugo ;

Bonciani, Roberto ;

Degrassi, Giuseppe ;

Vicini, Alessandro .

JOURNAL OF HIGH ENERGY PHYSICS, 2007, (01)

[2] Real radiation at next-to-next-to-leading order in QCD:: e+e-→2 jets through O(αs2) -: art. no. 032002 [J].

Anastasiou, C ;

Melnikov, K ;

Petriello, F .

PHYSICAL REVIEW LETTERS, 2004, 93 (03) :032002-1

[3] Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order [J].

Anastasiou, C ;

Melnikov, K ;

Petriello, F .

NUCLEAR PHYSICS B, 2005, 724 (1-2) :197-246

[4]

ANASTASIOU C, ELECTR ENERGY SPECTR, P87

[5] Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop [J].

Anastasiou, Charalampos ;

Beerli, Stefan ;

Bucherer, Stefan ;

Daleo, Alejandro ;

Kunszt, Zoltan .

JOURNAL OF HIGH ENERGY PHYSICS, 2007, (01)

[6]

Anastasiou C, 2006, J HIGH ENERGY PHYS

[7] Numerical evaluation of multi-loop integrals by sector decomposition [J].

Binoth, T ;

Heinrich, G .

NUCLEAR PHYSICS B, 2004, 680 (1-3) :375-388

[8] An automatized algorithm to compute infrared divergent multi-loop integrals [J].

Binoth, T ;

Heinrich, G .

NUCLEAR PHYSICS B, 2000, 585 (03) :741-759

[9]

Binoth T, 2005, J HIGH ENERGY PHYS, DOI 10.1088/1126-6708/2005/10/015

[10] Automatized analytic continuation of Mellin-Barnes integrals [J].

Czakon, M. .

COMPUTER PHYSICS COMMUNICATIONS, 2006, 175 (08) :559-571

← 1 2 3 →