Mellin$-$Barnes Transformation for Two-Loop Master-Diagram

Abstract

In the paper, we obtain an expression for a two-loop master-diagram by using the Mellin$-$Barnes transformation. In the two-dimensional case we managed to factorize the answer and write it as a bilinear combination of hypergeometric functions ${}_3{F}_2$.

References in corpus (19)

• Separation of Variables. New Trends.
• High energy QCD as a completely integrable model
• New integrable non-gauge 4D QFTs from strongly deformed planar N=4 SYM
• Quantum Inverse Scattering Method. Selected Topics
• Noncompact Heisenberg spin magnets from high-energy QCD: I. Baxter Q-operator and Separation of Variables
• Gluing Ladders into Fishnets
• The Gegenbauer Polynomial Technique: the evaluation of a class of Feynman diagrams
• The massless two-loop two-point function
• Bi-scalar integrable CFT at any dimension
• Basso-Dixon Correlators in Two-Dimensional Fishnet CFT
• Multi-loop techniques for massless Feynman diagram calculations
• Thermodynamic Bethe Ansatz for Fishnet CFT
• Multipoint correlation functions in Liouville field theory and minimal Liouville gravity
• Massless two-loop self-energy diagram: Historical review
• Compact analytical form for non-zeta terms in critical exponents at order 1/N^3
• Barnes-Ismagilov integrals and hypergeometric functions of the complex field
• Operator approach to analytical evaluation of Feynman diagrams
• A pair of commuting hypergeometric operators on the complex plane and bispectrality
• $\mathrm{SL}(2,\mathbb{C})$ Gustafson Integrals

Cited by in corpus (3)

• Explicit Cutoff Regularization in Coordinate Representation
• Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles
• Checkerboard CFT