TVID 2: evaluation of planar-type three-loop self-energy integrals with arbitrary masses

• Main Authors: Stefan Bauberger, Ayres Freitas, Daniel Wiegand
• Format: Article
• Language: English
• Published: SpringerOpen 2020-01-01
• Series: Journal of High Energy Physics
• Subjects: Higgs Physics; Quark Masses and SM Parameters
• Online Access: https://doi.org/10.1007/JHEP01(2020)024

Abstract We present TVID 2, a program to numerically evaluate an important class of planar three-loop self-energy master integrals with arbitrary masses. As with the predecessor version (TVID 1) the integrals are separated into a known piece, containing the UV divergencies, and a finite piece that is integrated numerically, implemented in C. The set of master integrals under consideration was found with self-energy diagrams containing two closed fermion loops in mind. Two techniques are employed in deriving the expressions for the finite pieces that are then numerically integrated: (a) Sub-loop dispersion relations in the case of topologies containing sub-bubbles, and (b) a modification of the procedure suggested by Ghinculov for integrals with only sub-loop triangles.