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.
Roberto, B., Degrassi, G., Pier Paolo Giardino, ., Ramona, G., Giardino, P.P. (2018). A Numerical Routine for the Crossed Vertex Diagram with a Massive-Particle Loop. COMPUTER PHYSICS COMMUNICATIONS [10.1016/j.cpc.2019.03.014].
A Numerical Routine for the Crossed Vertex Diagram with a Massive-Particle Loop
Giuseppe Degrassi;GIARDINO, PIER PAOLO
2018-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
