期刊
COMPUTER PHYSICS COMMUNICATIONS
卷 241, 期 -, 页码 122-131出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cpc.2019.03.014
关键词
Feynman diagrams; Multi-loop calculations
资金
- Spanish Research Agency (Agencia Estatal de Investigacion) [FPA2016-78022-P]
- IFT Centro de Excelencia Severo Ochoa [SEV-2016-0597]
- European Union COFUND/Durham Junior Research Fellowship under the EU [609412]
- Berliner Chancengleichheitsprogramm
- INFN
- STFC [ST/P001246/1] Funding Source: UKRI
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. Program summary Program Title: elliptic Program Files doi: http://dx.doi.org/10.17632/kybzy5d84t.1 Licensing provisions: CC By 4.0 Programming language: Fortran77 Nature of problem: Numerical computation of the two master integrals for the crossed ladder vertex diagram with massive loop at two-loop level. Solution method: Power series expansions around singular and regular points for positive and negative values in x = -S/m(2), with m denoting the massive state in the loop and S the Madelstam invariant. The different series expansions are matched numerically. (C) 2019 Elsevier B.V. All rights reserved.
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