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Title: Unitarity cuts with massive propagators and algebraic expressions for coefficients

Abstract

In the first part of this paper, we extend the d-dimensional unitarity cut method of Anastasiou et al. to cases with massive propagators. We present formulas for integral reduction with which one can obtain coefficients of all pentagon, box, triangle and massive bubble integrals. In the second part of this paper, we present a detailed study of the phase space integration for unitarity cuts. We carry out spinor integration in generality and give algebraic expressions for coefficients, intended for automated evaluation.

Authors:
 [1];  [2]
  1. Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam (Netherlands)
  2. Center of Mathematical Science, Zhejiang University, Hangzhou (China)
Publication Date:
OSTI Identifier:
20935267
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 75; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.75.105006; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BUBBLES; EVALUATION; INTEGRALS; PHASE SPACE; PROPAGATOR; UNITARITY

Citation Formats

Britto, Ruth, Bo, Feng, and Blackett Laboratory and Institute for Mathematical Sciences, Imperial College, London, SW7 2AZ. Unitarity cuts with massive propagators and algebraic expressions for coefficients. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.105006.
Britto, Ruth, Bo, Feng, & Blackett Laboratory and Institute for Mathematical Sciences, Imperial College, London, SW7 2AZ. Unitarity cuts with massive propagators and algebraic expressions for coefficients. United States. https://doi.org/10.1103/PHYSREVD.75.105006
Britto, Ruth, Bo, Feng, and Blackett Laboratory and Institute for Mathematical Sciences, Imperial College, London, SW7 2AZ. 2007. "Unitarity cuts with massive propagators and algebraic expressions for coefficients". United States. https://doi.org/10.1103/PHYSREVD.75.105006.
@article{osti_20935267,
title = {Unitarity cuts with massive propagators and algebraic expressions for coefficients},
author = {Britto, Ruth and Bo, Feng and Blackett Laboratory and Institute for Mathematical Sciences, Imperial College, London, SW7 2AZ},
abstractNote = {In the first part of this paper, we extend the d-dimensional unitarity cut method of Anastasiou et al. to cases with massive propagators. We present formulas for integral reduction with which one can obtain coefficients of all pentagon, box, triangle and massive bubble integrals. In the second part of this paper, we present a detailed study of the phase space integration for unitarity cuts. We carry out spinor integration in generality and give algebraic expressions for coefficients, intended for automated evaluation.},
doi = {10.1103/PHYSREVD.75.105006},
url = {https://www.osti.gov/biblio/20935267}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 10,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}