Integrand reduction of one-loop scattering amplitudes through Laurent series expansion

A bstract We present a semi-analytic method for the integrand reduction of one-loop amplitudes, based on the systematic application of the Laurent expansions to the integrand-decomposition. In the asymptotic limit, the coefficients of the master integrals are the solutions of a diagonal system of eq...

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Bibliographic Details
Published in:The journal of high energy physics 2012-06, Vol.2012 (6), Article 95
Main Authors: Mastrolia, Pierpaolo, Mirabella, Edoardo, Peraro, Tiziano
Format: Article
Language:English
Subjects:
Amplitudes
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Mathematical analysis
Physics
Physics and Astronomy
Polynomials
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Reduction
Relativity Theory
Series expansion
String Theory
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Summary:A bstract We present a semi-analytic method for the integrand reduction of one-loop amplitudes, based on the systematic application of the Laurent expansions to the integrand-decomposition. In the asymptotic limit, the coefficients of the master integrals are the solutions of a diagonal system of equations, properly corrected by counterterms whose parametric form is known a priori. The Laurent expansion of the integrand is implemented through polynomial division. The extension of the integrand-reduction to the case of numerators with rank larger than the number of propagators is discussed as well.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2012)095