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One Loop Integrands for Scattering Amplitudes from the Riemann Sphere

Presented by: 
Ricardo Monteiro CERN - European Organisation for Nuclear Research
Date: 
Thursday 30th June 2016 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
Worldsheet formulations of quantum field theories have had wide-ranging impact on the study of scattering amplitudes. However, the mathematical framework becomes very challenging on the higher-genus worldsheets required to describe loop effects. I will describe how, in such worldsheet models based on the scattering equations, formulae on genus one surfaces can be transformed to ones on the Riemann sphere. I will present formulae for the one-loop integrands of scattering amplitudes in gravity and gauge theory, with or without supersymmetry.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons