The Two Higgs Doublet of Type II facing flavour physics data

TL;DR

This paper evaluates the constraints on the Two Higgs Doublet Model Type II using recent flavour physics data, finding that it is largely consistent with the Standard Model and setting a lower bound on the charged Higgs mass.

Contribution

It provides the first comprehensive analysis of 2HDM Type II constraints from multiple flavour observables using a frequentist approach.

Findings

Charged Higgs mass $m_{H^+} > 316$ GeV at 95% CL

2HDM Type II can fit individual observables with fine-tuning

Combined analysis favors a decoupling limit similar to the SM

Abstract

We discuss tests of the charged Higgs sector of the Two Higgs Doublet Model (2HDM) of Type II in the light of recent flavour physics data. Particular attention is paid to recent measurement of purely leptonic decays of heavy-light mesons, which depart more or less significantly from the Standard Model (SM) predictions. We derive constraints on the parameters of the 2HDM type II from leptonic and semileptonic $\Delta F=1$ decays as well as loop processes ($b \to s \gamma$, $B\bar{B}$ mixing or $Z\to\bar{b}b$) sensitive to charged Higgs contributions. The outcome of this work is that while 2HDM Type II can fit individual observable through fine-tuning schemes, in a combined analysis it does not perform better than the SM by favouring a decoupling solution. Assuming that 2HDM Type II is realized in Nature, constraints on its parameters ($m_{H^+}$ and $\tan \beta$) are derived. A limit on the charged Higgs mass $m_{H^+} > 316 \; {\rm GeV}$ at $95\%$~CL is obtained irrespective of the value of $\tan \beta$. This limit is dominated by the $b\rightarrow s \gamma$ branching ratio measurement. All results have been obtained with the \ckmfitter\ analysis package, featuring the frequentist statistical approach \rfit\ to handle theoretical uncertainties.