All-loop soft theorem for pions

Author:

Bartsch Christoph1ORCID,Kampf Karol1ORCID,Novotný Jiří1ORCID,Trnka Jaroslav12

Affiliation:

1. Charles University

2. University of California

Abstract

In this paper we discuss a generalization of the Adler zero to loop integrands in the planar limit of the SU(N) nonlinear sigma model (NLSM). The Adler zero for integrands is violated starting at the two-loop order and is only recovered after integration. Here we propose a soft theorem satisfied by loop integrands with any number of loops and legs. This requires a generalization of NLSM integrands to an off shell framework with certain deformed kinematics. Defining an , we identify a simple nonvanishing soft behavior of integrands, which we call the . We find that the proposed soft theorem is satisfied by the “surface” integrand of Arkani-Hamed and Figueiredo [], which is obtained from the shifted Trφ3 surfacehedron integrand. Finally, we derive an on shell version of the algebraic soft theorem that takes an interesting form in terms of self-energy factors and lower-loop integrands in a mixed theory of pions and scalars. Published by the American Physical Society 2024

Funder

Grantová Agentura České Republiky

Grantová Agentura, Univerzita Karlova

Ministerstvo Školství, Mládeže a Tělovýchovy

U.S. Department of Energy

University of California, Davis

Operační program Jan Amos Komenský

Publisher

American Physical Society (APS)

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