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

doi:10.1007/JHEP01(2020)024

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:

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)

Publication Date:: 2020-01-07

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.

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                    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.

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                    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.

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@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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DOI: 10.1007/JHEP01(2020)024

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

Abstract

Citation Formats

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The elliptic dilogarithm for the sunset graph
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Numerical evaluation of multiple polylogarithms
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Multiple polylogarithms, cyclotomy and modular complexes
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Two-loop master integrals for jets: the planar topologies
journal, May 2001

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journal, March 2011

Simple one-dimensional integral representations for two-loop self-energies: the master diagram
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Scalar two-loop integrals for gauge boson self-energy diagrams with a massless fermion loop
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MBnumerics: Numerical integration of Mellin-Barnes integrals in physical regions
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