Published October 14, 2022 | Submitted
Discussion Paper Open

Geometry in Scattering Amplitudes

Abstract

We formulate the field-space geometry for an effective field theory of scalars and gauge bosons. Geometric invariants such as the field-space curvature enter in both scattering amplitudes and the renormalization group equations, with the scalar and gauge results unified in a single expression.

Additional Information

We thank Clifford Cheung, Julio Parra-Martinez, and Michael Trott for helpful discussions and comments on the draft. This work is supported in part by the U.S. Department of Energy (DOE) under award number DESC0009919. A. H. is supported by the DOE under award number DE-SC0011632 and by the Walter Burke Institute for Theoretical Physics.

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Created:
August 20, 2023
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February 1, 2025