The paper constructs a non-linear 'U representation' that separates Goldstone bosons from heavy scalars, enabling straightforward tree-level HEFT matching for general scalar extensions and giving explicit formulas for real and complex multiplets.
Standard Model Effective Field Theory: Integrating out Vector-Like Fermions
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abstract
We apply the covariant derivative expansion of the Coleman-Weinberg potential to vector-like fermion models, matching the UV theory to the relevant dimension-6 operators in the standard model effective field theory. The $\gamma$ matrix induced complication in the fermionic covariant derivative expansion is studied in detail, and all the contributing combinations are enumerated. From this analytical result we also provide numerical constraints for a generation of vector-like quarks and vector-like leptons.
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A Non-linear Representation of General Scalar Extensions of the Standard Model for HEFT Matching
The paper constructs a non-linear 'U representation' that separates Goldstone bosons from heavy scalars, enabling straightforward tree-level HEFT matching for general scalar extensions and giving explicit formulas for real and complex multiplets.