Abstract

We calculate radiative corrections to a full set of coupling constants for the 125 GeV Higgs boson at the one-loop level in two Higgs doublet models with four types of Yukawa interaction under the softly-broken discrete Z2 symmetry. The renormalization calculations are performed in the on-shell scheme, in which the gauge dependence in the mixing parameter which appears in the previous calculation is consistently avoided. We first show the details of our renormalization scheme, and present the complete set of the analytic formulae of the renormalized couplings. We then numerically demonstrate how the inner parameters of the model can be extracted by the future precision measurements of these couplings at the high luminosity LHC and the International Linear Collider.

Highlights

  • We calculate radiative corrections to a full set of coupling constants for the 125 GeV Higgs boson at the one-loop level in two Higgs doublet models with four types of Yukawa interaction under the softly-broken discrete Z2 symmetry

  • We have calculated radiative corrections to a full set of coupling constants for the Higgs boson h at the one-loop level in the two Higgs doublet model (THDM) with the four types of Yukawa interactions under the softlybroken discrete Z2 symmetry. These couplings are evaluated in the on-shell scheme, in which the gauge dependence in the mixing parameter which appears in the previous calculation is consistently avoided

  • We have numerically demonstrated how the inner parameters of the THDM can be extracted by the future precision measurements of these couplings at the high luminosity (HL)-LHC and the International Linear Collider (ILC)

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Summary

INTRODUCTION

The LHC Run-I has confirmed the existence of a Higgs boson (h) [1, 2], whose properties are in agreement with those of the standard model (SM) within the uncertainties of the current data [3,4,5,6,7,8]. That the measured couplings of the Higgs boson h with the SM particles are consistent with the predictions in the SM within the uncertainties, it is time to consider fingerprinting of extended Higgs sectors [53, 54] by calculating radiative corrections to the predictions of those observables which will be measured with more precision at future experiments such as the LHC Run-II, the high luminosity (HL)-LHC [55,56,57] with the integrated luminosity of 3000 fb−1 and future lepton colliders like the International Linear Collider (ILC) [58, 59]. Loop induced vertices hgg [64], hγγ [65,66,67,68,69,70] and hZγ [67, 69,70,71,72] have been evaluated in extended Higgs sectors Those to the Higgs boson couplings have been investigated in the two Higgs doublet model (THDM) in Refs.

Lagrangian
Type-Y
The oblique parameters
Allowed region from theoretical
Flavour Constraints
Parameter shift and renormalized functions
Renormalization conditions in the electroweak gauge sector
Renormalization conditions in the Higgs potential
Analytic expressions
Numerical evaluations
DETERMINATION OF INNER PARAMETERS FROM THE HIGGS BOSON COUPLING MEASUREMENTS
DISCUSSIONS AND CONCLUSIONS
H H Zμ Zν
Two-point functions
Three-point functions
Findings
Decay rates for loop induced processes
Full Text
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