Direct reduction of multiloop multiscale scattering amplitudes
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DOI: 10.1103/physrevd.101.076023
Abstract: We propose an alternative approach based on series representation to directly reduce multi-loop multi-scale scattering amplitude into set of freely chosen master integrals. And this approach avoid complicated calculations of inverse matrix and dimension shift… read more here.
Keywords: multiscale scattering; series representation; direct reduction; multiloop multiscale ... See more keywords
Determining arbitrary Feynman integrals by vacuum integrals
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review D"
DOI: 10.1103/physrevd.99.071501
Abstract: By introducing an auxiliary parameter, we find a series representation for Feynman integral, which is defined as analytical continuation of a calculable series. To obtain the series representation, one only needs to deal with some… read more here.
Keywords: feynman integrals; series representation; series; vacuum integrals ... See more keywords
On a Series Representation for Integral Kernels of Transmutation Operators for Perturbed Bessel Equations
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DOI: 10.1134/s0001434618090201
Abstract: A representation for the kernel of the transmutation operator relating a perturbed Bessel equation to the unperturbed one is obtained in the form of a functional series with coefficients calculated by a recurrent integration procedure.… read more here.
Keywords: series representation; transmutation; perturbed bessel; representation integral ... See more keywords