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A numerical routine for the crossed vertex diagram with a massive-particle loop

Bonciani, Roberto; Degrassi, Giuseppe; Giardino, Pier Paolo; Gröber, Ramona

A numerical routine for the crossed vertex diagram with a massive-particle loop Thumbnail


Authors

Roberto Bonciani

Giuseppe Degrassi

Pier Paolo Giardino

Ramona Gröber



Abstract

We present an evaluation of the two master integrals for the crossed vertex diagram with a closed loop of top quarks that allows for an easy numerical implementation. The differential equations obeyed by the master integrals are used to generate power series expansions centered around all the singular points. The different series are then matched numerically with high accuracy in intermediate points. The expansions allow a fast and precise numerical calculation of the two master integrals in all the regions of the phase space. A numerical routine that implements these expansions is presented.

Citation

Bonciani, R., Degrassi, G., Giardino, P. P., & Gröber, R. (2019). A numerical routine for the crossed vertex diagram with a massive-particle loop. Computer Physics Communications, 241, 122-131. https://doi.org/10.1016/j.cpc.2019.03.014

Journal Article Type Article
Acceptance Date Mar 19, 2019
Online Publication Date Mar 27, 2019
Publication Date Jul 31, 2019
Deposit Date Mar 28, 2019
Publicly Available Date Mar 27, 2020
Journal Computer Physics Communications
Print ISSN 0010-4655
Electronic ISSN 1879-2944
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 241
Pages 122-131
DOI https://doi.org/10.1016/j.cpc.2019.03.014
Public URL https://durham-repository.worktribe.com/output/1299823

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