Multichannel conformal blocks for scattering amplitudes

Abstract

By performing resummation of small fermion-antifermion pairs within the pentagon form factor program to scattering amplitudes in planar N = 4 superYang-Mills theory, we construct multichannel conformal blocks within the flux-tube picture for N-sided NMHV polygons. This procedure is equivalent to summation of descendants of conformal primaries in the OPE framework. The resulting conformal partial waves are determined by multivariable hypergeometric series of Lauricella-Saran type.

11 pages, 1 figure

References in corpus (9)

• Gluon scattering amplitudes at strong coupling
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• Space-time S-matrix and Flux-tube S-matrix IV. Gluons and Fusion
• OPE for all Helicity Amplitudes
• OPE for all Helicity Amplitudes II. Form Factors and Data Analysis
• On factorization of multiparticle pentagons
• Matrix pentagons
• Resummed tree heptagon

Cited by in corpus (5)

• Multipoint Conformal Blocks in the Comb Channel
• The SAGEX Review on Scattering Amplitudes, Chapter 5: Analytic Bootstraps for Scattering Amplitudes and Beyond
• Pentagon OPE resummation in N=4 SYM: hexagons with one effective particle contribution
• A Novel Algorithm for Nested Summation and Hypergeometric Expansions
• The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes