Delta r in the Two-Higgs-Doublet Model at full one loop level -- and beyond

TL;DR

This paper provides a comprehensive one-loop and beyond analysis of the electroweak parameter Delta r in the general Two-Higgs-Doublet Model, revealing potential corrections that could indicate non-standard Higgs physics at future colliders.

Contribution

It presents the first systematic one-loop calculation of Delta r in the general 2HDM and introduces an effective Lagrangian approach to estimate higher-order effects related to Higgs self-interactions.

Findings

Corrections to M_W of about 20-40 MeV improve agreement with experimental data.

Higher-order effects can be significant in the large Higgs self-interaction limit.

Distinctive loop effects could serve as signatures of non-standard Higgs physics.

Abstract

After the recent discovery of a Higgs-like boson particle at the CERN LHC-collider, it becomes more necessary than ever to prepare ourselves for identifying its standard or non-standard nature. The Electroweak parameter Delta r relating the values of the gauge boson masses [MW,MZ] and the Fermi constant [G_F] is the traditional observable encoding high precision information of the electroweak physics at the quantum level. In this work we present a complete quantitative study of Delta r in the framework of the general (unconstrained) Two-Higgs-Doublet Model (2HDM). First of all we report on a systematic analysis of Delta r at the full one loop level in the general 2HDM, which to our knowledge was missing in the literature. Thereby we extract a theoretical prediction for the mass of the W-boson in this model, taking MZ, \alpha_{em} and G_F as experimental inputs. We find typical corrections leading to mass shifts $\delta MW \sim 20-40 MeV$ which help to improve the agreement with the experimentally measured value, in a degree no less significant than in the MSSM case. In the second part of our study we extend our calculation beyond the mere one-loop order. We devise an effective Lagrangian approach that captures the dominant higher order quantum effects on delta rho (viz. that part of Delta r describing the breaking of the approximate SU(2) custodial symmetry) in the limit of large Higgs boson self-interactions. This limit constitutes a telltale property of the general 2HDM which is unmatched by e.g. the MSSM. Our conclusion is that the Electroweak precision program to be conducted at the LHC, and maybe at a future linear collider, can nicely complement the direct searches. Should these distinctive loop effects be eventually found they would signal a smoking gun hinting at non-standard Higgs physics.