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.
Effective Field Theory with Two Higgs Doublets
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abstract
In this article we extend the effective field theory framework describing new physics effects to the case where the underlying low-energy theory is a Two-Higgs-Doublet model. We derive a complete set of independent operators up to dimension six assuming a $Z_2$-invariant CP-conserving Higgs potential. The effects on Higgs and gauge boson masses, mixing angles in the Higgs sector as well as couplings to fermions and gauge bosons are computed. At variance with the case of a single Higgs doublet, we find that pair production of SM-like Higgses, arising through dimension-six operators, is not fixed by fermion-fermion-Higgs couplings and can therefore be sizable.
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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.