TVID 2: evaluation of planartype threeloop selfenergy integrals with arbitrary masses
Abstract
We present TVID 2, a program to numerically evaluate an important class of planar threeloop selfenergy 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 selfenergy 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) Subloop dispersion relations in the case of topologies containing subbubbles, and (b) a modification of the procedure suggested by Ghinculov for integrals with only subloop triangles.
 Authors:

 Munich School of Philosophy, Munich (Germany)
 Univ. of Pittsburgh, PA (United States). Pittsburgh Particlephysics Astrophysics & Cosmology Center (PITTPACC)
 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:
 AC0206CH11357; PHY1820760; FG0291ER40684
 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 10298479
 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 planartype threeloop selfenergy 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 planartype threeloop selfenergy integrals with arbitrary masses. United States. doi:10.1007/JHEP01(2020)024.
Bauberger, Stefan, Freitas, Ayres, and Wiegand, Daniel. Tue .
"TVID 2: evaluation of planartype threeloop selfenergy 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 planartype threeloop selfenergy 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 threeloop selfenergy 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 selfenergy 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) Subloop dispersion relations in the case of topologies containing subbubbles, and (b) a modification of the procedure suggested by Ghinculov for integrals with only subloop 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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