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Multi-Loop Techniques for Massless Feynman Diagram Calculations [PDF]
Physics of particles and nuclei, 2018 We review several multi-loop techniques for analytical massless Feynman diagram calculations in relativistic quantum field theories: integration by parts, the method of uniqueness, functional equations and the Gegenbauer polynomial technique.
A. Kotikov, S. Teber
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Feynman diagram description of 2D-Raman-THz spectroscopy applied to water. [PDF]
Journal of Chemical Physics, 2018 2D-Raman-THz spectroscopy of liquid water, which has been presented recently [J. Savolainen et al., Proc. Natl. Acad. Sci. U. S. A. 110, 20402 (2013)], directly probes the intermolecular degrees of freedom of the hydrogen-bond network.
D. Sidler, P. Hamm
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Vacuum seagull: Evaluating a three-loop Feynman diagram with three mass scales [PDF]
, 2017 We study a 3-loop 5-propagator Feynman Integral, which we call the vacuum seagull, with arbitrary masses and spacetime dimension using the Symmetries of Feynman Integrals method. It is our first example with potential numerators.
P. Burda, B. Kol, R. Shir
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New Results for a Two-Loop Massless Propagator-Type Feynman Diagram [PDF]
, 2016 We consider a two-loop massless propagator-type Feynman diagram with an arbitrary (noninteger) index on the central line. We analytically prove the equality of two well-known results in the literature expressing this diagram in terms of hypergeometric ...
A. Kotikov, S. Teber
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Genus drop in hyperelliptic Feynman integrals [PDF]
Physical Review D, 2023 The maximal cut of the nonplanar crossed box diagram with all massive internal propagators was long ago shown to encode a hyperelliptic curve of genus 3 in momentum space. Surprisingly, in Baikov representation, the maximal cut of this diagram only gives
Robin Marzucca +4 more
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Twistor coverings and Feynman diagrams
Journal of High Energy Physics, 2022 Recently, a worldsheet dual to free N $$ \mathcal{N} $$ = 4 Super Yang-Mills has been proposed in terms of twistor variables for AdS5, in parallel to that for the AdS3 dual to the free symmetric orbifold CFT. In the latter case, holomorphic covering maps
Faizan Bhat +3 more
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Symmetry factors of Feynman diagrams and the homological perturbation lemma
Journal of High Energy Physics, 2020 We discuss the symmetry factors of Feynman diagrams of scalar field theories with polynomial potential. After giving a concise general formula for them, we present an elementary and direct proof that when computing scattering amplitudes using the ...
Christian Saemann +1 more
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Quantum field-theoretical descriprion of neutrino oscillations in T2K experiment [PDF]
EPJ Web of Conferences, 2019 We consider neutrino oscillations in the T2K experiment using a new quantum field-theoretical approach to the description of processes passing at finite space-time intervals.
Egorov Vadim, Rusalev Timofei
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Asymptotic analysis of Feynman diagrams and their maximal cuts
European Physical Journal C: Particles and Fields, 2020 The ASPIRE program, which is based on the Landau singularities and the method of Power geometry to unveil the regions required for the evaluation of a given Feynman diagram asymptotically in a given limit, also allows for the evaluation of scaling coming
B. Ananthanarayan +2 more
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Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles [PDF]
Journal of High Energy Physics, 2023 We develop an operator approach to the evaluation of multiple integrals for multiloop Feynman massless diagrams. A commutative family of graph building operators Hα for ladder diagrams is constructed and investigated.
S. Derkachov, A. Isaev, L. Shumilov
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