# SUSY 2015, 23rd International Conference on Supersymmetry and Unification of Fundamental Interactions

23-29 August 2015
Lake Tahoe
US/Pacific timezone

## Global fits of the two-loop renormalized Two-Higgs-Doublet model with soft $Z_2$ breaking

24 Aug 2015, 15:30
20m
Cedar House ()

### Cedar House

Precision Computations and Monte Carlo Tools, all areas

### Speaker

Debtosh Chowdhury (INFN, Roma)

### Description

We determine the next-to-leading order renormalization group equations for the Two-Higgs-Doublet model with a softly broken $Z_2$ symmetry and CP conservation in the scalar potential. We use them to identify the parameter regions which are stable up to the Planck scale and find that in this case the quartic couplings of the Higgs potential cannot be larger than 1 in magnitude and that the absolute values of the S-matrix eigenvalues cannot exceed 2.5 at the electroweak symmetry breaking scale. Interpreting the 125 GeV resonance as the light CP-even Higgs eigenstate, we combine stability constraints, electroweak precision and flavour observables with the latest ATLAS and CMS data on Higgs signal strengths and heavy Higgs searches in global parameter fits to all four types of $Z_2$ symmetry. We quantify the maximal deviations from the alignment limit and pinpoint the physical parameter regions compatible with a stable scalar potential up to the Planck scale. Motivated by the question how natural a Higgs mass of 125 GeV can be in the context of a Two-Higgs-Doublet model, we also address the hierarchy problem and find that the Two-Higgs-Doublet model does not offer a perturbative solution to it beyond 5 TeV.

### Primary author

Debtosh Chowdhury (INFN, Roma)

### Co-author

Otto Eberhardt (INFN, Rome)