Roberto Bonciani
A numerical routine for the crossed vertex diagram with a massive-particle loop
Bonciani, Roberto; Degrassi, Giuseppe; Giardino, Pier Paolo; Gröber, Ramona
Authors
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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Publisher Licence URL
http://creativecommons.org/licenses/by-nc-nd/4.0/
Copyright Statement
© 2019 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
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