46 citations · 182 across the 14 of their papers we have counts for
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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…
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.…
The three-loop QED contributions to the of charged leptons with two internal fermion loops and a class of Kampé de Fériet series
B. Ananthanarayan, Samuel Friot, Shayan Ghosh
The three-loop QED mass-dependent contributions to the of each of the charged leptons with two internal closed fermion loops, sometimes called $A^{(6)}_3\left(\frac{m_1}{m_2}…
New Series Representations for the Two-Loop Massive Sunset Diagram
B. Ananthanarayan, Samuel Friot, Shayan Ghosh
We derive new convergent series representations for the two-loop sunset diagram with three different propagator masses m1, m2 and m3 and external momentum p by techniques of analyt…
Analytic representations of , , and in two loop chiral perturbation theory
B. Ananthanarayan, Johan Bijnens, Samuel Friot +1
In this work, we consider expressions for the masses and decay constants of the pseudoscalar mesons in chiral perturbation theory. These involve sunset diagrams and their d…
Leading Logarithms of the Two Point Function in Massless O(N) and SU(N) Models to any Order from Analyticity and Unitarity
B. Ananthanarayan, Shayan Ghosh, Alexey Vladimirov +1
Leading (large) logarithms in non-renormalizable theories have been investigated in the recent past. Besides some general considerations, explicit results for the expansion coeffic…
Analytic representation of in two loop chiral perturbation theory
B. Ananthanarayan, Johan Bijnens, Samuel Friot +1
We present an analytic representation of as calculated in three-flavour two-loop chiral perturbation theory, which involves expressing three mass scale sunsets in terms o…
An Analytic Analysis of the Pion Decay Constant in Three-Flavoured Chiral Perturbation Theory
B. Ananthanarayan, Johan Bijnens, Shayan Ghosh
A representation of the two-loop contribution to the pion decay constant in chiral perturbation theory is presented. The result is analytic upto the contribution of the thr…
An Analytic Approach to Sunset Diagrams in Chiral Perturbation Theory: Theory and Practice
B. Ananthanarayan, Johan Bijnens, Shayan Ghosh +1
We demonstrate the use of several code implementations of the Mellin-Barnes method available in the public domain to derive analytic expressions for the sunset diagrams that arise…