Reduction of one-loop integrals with higher poles by unitarity cut method

A bstract Unitarity cut method has been proved to be very useful in the computation of one-loop integrals. In this paper, we generalize the method to the situation where the powers of propagators in the denominator are larger than one in general. We show how to use the trick of differentiation over...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2021; no. 7; pp. 1 - 32
Main Authors Feng, Bo, Wang, Hongbin
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2021
Springer Nature B.V
SpringerOpen
Subjects
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Integrals
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Reduction
Regular Article - Theoretical Physics
Relativity Theory
Renormalization Regularization and Renormalons
Scattering Amplitudes
String Theory
Scattering Amplitudes
Renormalization Regularization and Renormalons
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Summary:A bstract Unitarity cut method has been proved to be very useful in the computation of one-loop integrals. In this paper, we generalize the method to the situation where the powers of propagators in the denominator are larger than one in general. We show how to use the trick of differentiation over masses to translate the problem to the integrals where all powers are just one. Then by using the unitarity cut method, we can find the wanted reduction coefficients of all basis except the tadpole. Using this method, we calculate the reduction of scalar bubble, scalar triangle, scalar box and scalar pentagon with general power of propagators.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2021)204