Two-Higgs Doublet Model Matched to Nonlinear Effective Theory

TL;DR

This paper develops a nonlinear effective field theory for the Two-Higgs Doublet Model with heavy scalars, including loop effects and all-order coefficient calculations, to explore various parameter regimes and phenomenology.

Contribution

It introduces a method to match the Two-Higgs Doublet Model to a nonlinear electroweak chiral Lagrangian, including loop effects and all-order coefficient computations.

Findings

Derived the effective Lagrangian to leading order in chiral counting.

Presented an algorithm for all-order coefficient calculations.

Discussed phenomenological implications for different parameter regimes.

Abstract

We use functional methods to match the Two-Higgs Doublet Model with heavy scalars in the nondecoupling regime to the appropriate nonlinear effective field theory, which takes the form of an electroweak chiral Lagrangian (HEFT). The effective Lagrangian is derived to leading order in the chiral counting. This includes the loop induced $h\to\gamma\gamma$ and $h\to Z\gamma$ local terms, which enter at the same chiral order as their counterparts in the Standard Model. An algorithm is presented that allows us to compute the coefficient functions to all orders in $h$. Some of the all-orders results are given in closed form. The parameter regimes for decoupling, nondecoupling and alignment scenarios in the effective field theory context and some phenomenological implications are briefly discussed.