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Conformally soft theorem in gauge theory

Monica Pate, Ana-Maria Raclariu, and Andrew Strominger

  • Center for the Fundamental Laws of Nature, Harvard University, Cambridge, Massachusetts 02138, USA

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Phys. Rev. D 100, 085017 – Published 24 October, 2019

DOI: https://doi.org/10.1103/PhysRevD.100.085017

Abstract

Asymptotic particle states in four-dimensional celestial scattering amplitudes are labeled by their SL(2,C) Lorentz/conformal weights (h,h¯) rather than the usual energy-momentum four-vector. These boost eigenstates involve a superposition of all energies. As such, celestial gluon (or photon) scattering cannot obey the usual (energetically) soft theorems. In this paper we show that tree-level celestial gluon scattering, in theories with sufficiently soft UV behavior, instead obeys conformally soft theorems involving h→0 or h¯→0. Unlike the energetically soft theorem, the conformally soft theorem cannot be derived from low-energy effective field theory.

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Phys. Rev. D 100, 085017– Published 24 October, 2019
  • Received 16 August 2019
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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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