On the effective action for scalars in a general manifold to any loop order
arXiv:2207.02050 · doi:10.1016/j.physletb.2023.137937
Abstract
Functional methods and a derivative expansion are employed for laying out a procedure to compute the effective action to any loop order, for scalar fields parametrising an arbitrary Riemannian manifold, while maintaining explicit field-space covariance. In this process, the geometric generalization of the LSZ reduction formula is presented. These results are of use in the characterization of effective field theories for electroweak symmetry breaking and extend a geometric perspective in field space beyond one loop.
14 pages, 1 figure. Updated to Journal Version and minor change in introduction to update terminology
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- Walls, bubbles and doom -- the cosmology of HEFT
- Renormalization-group running of dimension-8 four-fermion operators in the SMEFT
- The Universal One-Loop Effective Action with Gravity
- Renormalising the Field-Space Geometry
- Field Space Geometry and Nonlinear Supersymmetry
- Assessing (H)EFT theory errors by pitting EoM against Field Redefinitions
- Two-loop dimension Six Effective Action: Integrating Out Heavy Scalar