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20162025
most citedMultiple Series Representations of -fold Mellin-Barnes Integrals

46 citations · 182 across the 14 of their papers we have counts for

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14 papers

hep-ph2025

Sunset integrals with up to three mass scales in chiral perturbation theory: a comparative study of the Mellin-Barnes representation technique

Balasubramanian Ananthanarayan, Sumit Banik, Véronique Bernard +3

Sunset integrals are among the simplest of two-loop integrals that appear in perturbative quantum field theories and possess up to four distinct mass scales. By means of integratio…

hep-ph2025

Calculation of the axial-vector coupling constant to two loops in covariant chiral perturbation theory

Véronique Bernard, Jambul Gegelia, Shayan Ghosh +1

We present a calculation of the leading two-loop corrections to the axial-vector coupling constant in two covariant versions of two-flavor baryon chiral perturbation theory.…

hep-th2020★ 17 cited

Massive One-loop Conformal Feynman Integrals and Quadratic Transformations of Multiple Hypergeometric Series

B. Ananthanarayan, Sumit Banik, Samuel Friot +1

The computational technique of -fold Mellin-Barnes (MB) integrals, presented in a companion paper by the same authors, is used to derive sets of series representations of the ma…

hep-th2020★ 46 cited

Multiple Series Representations of -fold Mellin-Barnes Integrals

B. Ananthanarayan, Sumit Banik, Samuel Friot +1

Mellin-Barnes (MB) integrals are well-known objects appearing in many branches of mathematics and physics, ranging from hypergeometric functions theory to quantum field theory, sol…

hep-th2020★ 26 cited

The Double Box and Hexagon Conformal Feynman Integrals

B. Ananthanarayan, Sumit Banik, Samuel Friot +1

The off-shell massless six-point double box and hexagon conformal Feynman integrals with generic propagator powers are expressed in terms of linear combinations of multiple hyperge…

hep-th2020★ 3 cited

New analytic continuations for the Appell series from quadratic transformations of the Gauss function

B. Ananthanarayan, Samuel Friot, Shayan Ghosh +1

We present new analytic continuation formulas for the Appell double hypergeometric series where , which allows quadratic transformations of the Gauss ${…