Massless onshell box integral with arbitrary powers of propagators
Abstract
The massless oneloop box integral with arbitrary indices in arbitrary spacetime dimension $d$ is shown to reduce to a sum over three generalised hypergeometric functions. This result follows from the solution to the third order differential equation of hypergeometric type. To derive the differential equation, the Gröbner basis technique for integrals with noninteger powers of propagators was used. A complete set of recurrence relations from the Gröbner basis is presented. The first several terms in the $\varepsilon =(4d)/2$ expansion of the result are given.
 Publication:

arXiv eprints
 Pub Date:
 September 2017
 arXiv:
 arXiv:1709.07526
 Bibcode:
 2017arXiv170907526T
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 9 pages, 1figure