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Constructing multiloop scattering amplitudes with manifest singularity structure

Robert M. Schabinger

  • Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA

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Phys. Rev. D 99, 105010 – Published 20 May, 2019

DOI: https://doi.org/10.1103/PhysRevD.99.105010

Abstract

The infrared exponentiation properties of dimensionally regularized multiloop scattering amplitudes are typically hidden at the level of the integrand, materializing only after integral evaluation. We address this longstanding problem by introducing an appropriate integral basis which is simultaneously finite and uniform weight. As an example, we cast the integrand for the QCD corrections to the two-loop massless quark electromagnetic form factor into a form where it is manifest that the ε−4 and ε−3 pole terms arise from the ε expansion of the square of our one-loop master integral.

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Phys. Rev. D 99, 105010– Published 20 May, 2019
  • Received 27 June 2018
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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