Tree-loop duality relation beyond single poles

被引：58

作者：

Bierenbaum, Isabella ^{[1
]}

Buchta, Sebastian ^{[2
]}

Draggiotis, Petros ^{[2
]}

Malamos, Ioannis ^{[2
]}

Rodrigo, German ^{[2
]}

机构：

[1] Univ Hamburg, Inst Theoret Phys 2, D-22761 Hamburg, Germany

[2] Univ Valencia, Consejo Super Invest Cient, Inst Fis Corpuscular, E-46980 Paterna, Valencia, Spain

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2013年 / 03期

关键词：

QCD Phenomenology; NLO Computations;

D O I：

10.1007/JHEP03(2013)025

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 develop the Tree-Loop Duality Relation for two- and three-loop integrals with multiple identical propagators (multiple poles). This is the extension of the Duality Relation for single poles and multi-loop integrals derived in previous publications. We prove a generalization of the formula for single poles to multiple poles and we develop a strategy for dealing with higher-order pole integrals by reducing them to single pole integrals using Integration By Parts.

引用

页数：24

共 32 条

[1] 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

[2]

[Anonymous], ARXIV10031241 SM NLO

[3]

[Anonymous], 2012, PHYS REV LETT

[4]

[Anonymous], 2006, Feynman Integral Calculus

[5]

[Anonymous], JHEP

[6]

[Anonymous], JHEP

[7] Introduction to the GiNaC framework for symbolic computation within the C++ programming language [J].

Bauer, C ;

Frink, A ;

Kreckel, R .

JOURNAL OF SYMBOLIC COMPUTATION, 2002, 33 (01) :1-12

[8] Precise Predictions for W+3 Jet Production at Hadron Colliders [J].

Berger, C. F. ;

Bern, Z. ;

Dixon, L. J. ;

Cordero, F. Febres ;

Forde, D. ;

Gleisberg, T. ;

Ita, H. ;

Kosower, D. A. ;

Maitre, D. .

PHYSICAL REVIEW LETTERS, 2009, 102 (22)

[9] Assault on the NLO wishlist: pp → t(t)over-barb(b)over-bar [J].

Bevilacqua, G. ;

Czakon, M. ;

Papadopoulos, C. G. ;

Pittau, R. ;

Worek, M. .

JOURNAL OF HIGH ENERGY PHYSICS, 2009, (09)

[10] Towards a Loop-Tree Duality at Two Loops and Beyond [J].

Bierenbaum, I. .

NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2010, 205-06 :164-169

← 1 2 3 4 →