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Symmetry and unification from soft theorems and unitarity

Cheung, Clifford and Moss, Zander (2021) Symmetry and unification from soft theorems and unitarity. Journal of High Energy Physics, 2021 (5). Art. No. 161. ISSN 1126-6708. doi:10.1007/JHEP05(2021)161.

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We argue that symmetry and unification can emerge as byproducts of certain physical constraints on dynamical scattering. To accomplish this we parameterize a general Lorentz invariant, four-dimensional theory of massless and massive scalar fields coupled via arbitrary local interactions. Assuming perturbative unitarity and an Adler zero condition, we prove that any finite spectrum of massless and massive modes will necessarily unify at high energies into multiplets of a linearized symmetry. Certain generators of the symmetry algebra can be derived explicitly in terms of the spectrum and three-particle interactions. Furthermore, our assumptions imply that the coset space is symmetric.

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Additional Information:© 2021 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: January 20, 2021; Accepted: April 15, 2021; Published: May 19, 2021. We are grateful to Andreas Helset, James Mangan, and Julio Parra-Martinez for helpful comments on this work. C.C. is supported by the DOE under grant no. DE-SC0011632 and by the Walter Burke Institute for Theoretical Physics. Z.M. is supported by the NSF Graduate Research Fellowship Program under grant no. DGE-1745301 and by the Walter Burke Institute for Theoretical Physics.
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
NSF Graduate Research FellowshipDGE-1745301
Subject Keywords:Global Symmetries; Scattering Amplitudes; Spontaneous Symmetry Breaking
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Issue or Number:5
Record Number:CaltechAUTHORS:20210107-150940500
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Official Citation:Cheung, C., Moss, Z. Symmetry and unification from soft theorems and unitarity. J. High Energ. Phys. 2021, 161 (2021).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:107375
Deposited By: Joy Painter
Deposited On:08 Jan 2021 17:22
Last Modified:26 May 2021 18:18

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