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

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.

Authors:
 [1];  [2];  [3]
  1. Munich School of Philosophy, Munich (Germany)
  2. Univ. of Pittsburgh, PA (United States). Pittsburgh Particle-physics Astro-physics & Cosmology Center (PITT-PACC)
  3. Argonne National Lab. (ANL), Argonne, IL (United States); Northwestern Univ., Evanston, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
National Science Foundation (NSF); USDOE Office of Science (SC)
OSTI Identifier:
1597274
Grant/Contract Number:  
AC02-06CH11357; PHY-1820760; FG02-91ER40684
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Higgs Physics; Quark Masses and SM Parameters

Citation Formats

Bauberger, Stefan, Freitas, Ayres, and Wiegand, Daniel. TVID 2: evaluation of planar-type three-loop self-energy integrals with arbitrary masses. United States: N. p., 2020. Web. doi:10.1007/JHEP01(2020)024.
Bauberger, Stefan, Freitas, Ayres, & Wiegand, Daniel. TVID 2: evaluation of planar-type three-loop self-energy integrals with arbitrary masses. United States. doi:10.1007/JHEP01(2020)024.
Bauberger, Stefan, Freitas, Ayres, and Wiegand, Daniel. Tue . "TVID 2: evaluation of planar-type three-loop self-energy integrals with arbitrary masses". United States. doi:10.1007/JHEP01(2020)024. https://www.osti.gov/servlets/purl/1597274.
@article{osti_1597274,
title = {TVID 2: evaluation of planar-type three-loop self-energy integrals with arbitrary masses},
author = {Bauberger, Stefan and Freitas, Ayres and Wiegand, Daniel},
abstractNote = {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.},
doi = {10.1007/JHEP01(2020)024},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2020,
place = {United States},
year = {2020},
month = {1}
}

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