BSMPT (Beyond the Standard Model Phase Transitions): A tool for the electroweak phase transition in extended Higgs sectors

Abstract

We provide the C++ tool BSMPT for calculating the strength of the electroweak phase transition in extended Higgs sectors. This relies on the loop-corrected effective potential at finite temperature including daisy resummation of the bosonic masses. The program allows to compute the vacuum expectation value (VEV) v of the potential as a function of the temperature, and in particular the critical VEV v c at the temperature T c where the phase transition takes place. In addition, the loop-corrected trilinear Higgs self-couplings are provided. We apply an 'on-shell' renormalization scheme in the sense that the loop-corrected masses and mixing angles are required to be equal to their tree-level input values. This allows for efficient scans in the parameter space of the models. The models implemented so far are the CP-conserving and the CP-violating 2-Higgs-Doublet Models (2HDM) and the Next-to-Minimal 2HDM (N2HDM). The program structure is such that the user can easily implement further models. Our tool can be used for the investigation of electroweak baryogenesis in models with extended Higgs sectors and the related Higgs self-couplings. The combination with parameter scans in the respective models allows to study the impact on collider phenomenology and to make a link between collider phenomenology and cosmology. The program package can be downloaded at: https://Refs. [21] and [22] in the CP-conserving and CP-violating 2-Higgs Doublet Model (2HDM), respectively.The program was developed and tested on an OpenSuse 42.2, Ubuntu 14.04, Ubuntu 16.04 and Mac 10.13 system with g++ v6.2.1 and g++ v.7.2.1. The package can be downloaded at:https://github.com/phbasler/BSMPT The outline of the paper is as follows. In Section 2 we present our calculation which also serves to set our notation. The models that are already implemented in the package are introduced in Section 3. In Section 4 we explain how to install and run the program. Section 5 describes the available executables and their corresponding output files. Section 6 explains with the help of a toy model how a new model can be added to the program package. The summary is given in Section 7.

Gravitational wave and collider signals in complex two-Higgs doublet model with dynamical CP -violation at finite temperature

“…VI, we show the deviation of the Higgs trilinear coupling for each benchmark set. The deviation of Higgs trilinear coupling δ h from SM roughly varies from 1.049 to 1.863 at one-loop level for these benchmark points by BSMPT [10,35]. For LHC, it may be not easy to pin down this deviation.…”

“…To enforce the one-loop corrected masses and the mixing angles to be equal to the tree-level values, we use the on-shell renormalisation prescription as in Refs. [10,34,35]. Then, a counterterm potential V CT is added to the one-loop effective potential.…”

“…Then, a counterterm potential V CT is added to the one-loop effective potential. The general formula of the counterterm contribution V CT reads [35]…”

“…For the analytic formulae of the counterterms, see Refs. [10,35]. V T is the oneloop thermal corrections including daisy resummation [40,41] at finite temperature.…”

Strong first-order phase transitions in the NMSSM — a comprehensive survey

“…The FOPT to this deeper minimum would (temporarily) restore EW symmetry; however, we find that it cannot complete as (34) cannot be satisfied. If it completed, EW symmetry would subsequently be permanently broken by another SFOPT at T 123.6 GeV which would complete, from (0, 0, 463) to (91,162,274) with γ EW = 1.5 and T N = 119 GeV. Indeed, in all the Type-Only-H samples that we found, EW symmetry was broken, possibly restored and finally broken again, and the final FOPT would be the strongest, just as in this example.…”