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

Bauberger, Stefan; Freitas, Ayres; Wiegand, Daniel

doi:10.1007/JHEP01(2020)024

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

Journal Article · 06 January 2020 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP01(2020)024 · OSTI ID:1597274

Bauberger, Stefan ^[1]; Freitas, Ayres ^[2]; Wiegand, Daniel ^[3]

Munich School of Philosophy, Munich (Germany)
Univ. of Pittsburgh, PA (United States). Pittsburgh Particle-physics Astro-physics & Cosmology Center (PITT-PACC)
Argonne National Lab. (ANL), Argonne, IL (United States); Northwestern Univ., Evanston, IL (United States)

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.

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC)

Grant/Contract Number:: AC02-06CH11357; FG02-91ER40684

OSTI ID:: 1597274

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2020; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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