Published June 2024 | Published
Journal Article Open

Soft scalars in effective field theory

  • 1. ROR icon California Institute of Technology
  • 2. ROR icon European Organization for Nuclear Research
  • 3. ROR icon University of British Columbia
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Abstract

We derive a soft theorem for a massless scalar in an effective field theory with generic field content using the geometry of field space. This result extends the geometric soft theorem for scalar effective field theories by allowing the massless scalar to couple to other scalars, fermions, and gauge bosons. The soft theorem keeps its geometric form, but where the field-space geometry now involves the full field content of the theory. As a bonus, we also present novel double soft theorems with fermions, which mimic the geometric structure of the double soft theorem for scalars.

Copyright and License

© 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.

Acknowledgement

We are grateful to Jonah Berean-Dutcher, Clifford Cheung, Tim Cohen, Daniel Kapec, Aneesh Manohar, Adam Tropper, and Mark Wise for useful discussions and comments on the paper. M.D. is supported by the DOE under grant no. DE-SC0011632 and by the Walter Burke Institute for Theoretical Physics.

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March 19, 2025
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March 19, 2025