Likelihood analysis of the flavour anomalies and g – 2 in the general two Higgs doublet model

Abstract

We present a likelihood analysis of the general two Higgs doublet model, using the most important currently measured flavour observables, in view of the anomalies in charged current tree-level and neutral current one-loop rare decays of B mesons in b → cl$$ \overline{\nu} $$ ν ¯ and b → sμ+μ− transitions, respectively. We corroborate that the model explains the latter and it is able to simultaneously fit the experimental values of the R(D) charged current ratio at 1σ, but it can not accommodate the D* charmed meson observables R(D*) and FL(D*). We find that the fitted values for the angular observables in b → sμ+μ− transitions exhibit better agreement with the general two Higgs double model in comparison to the SM. We also make predictions for future collider observables BR(t → ch), BR(h → bs), BR(h → τμ), BR(Bs → τ+τ−), BR(B+ → K+τ+τ−) and the flavour violating decays of the τ lepton, BR(τ → 3μ) and BR(τ → μγ). The model predicts values of BR(t → ch), BR(Bs → τ+τ−) and BR(B+ → K+τ+τ−) that are out of reach of future experiments, but its predictions for BR(h → bs) and BR(h → τμ) are within the future sensitivity of the HL-LHC or the ILC. We also find that the predictions for the τ → 3μ and τ → μγ decays are well within the projected limits of the Belle II experiment. Finally, using the latest measurement of the Fermilab Muon g − 2 Collaboration, we performed a simultaneous fit to ∆aμ constrained by the charged anomalies, finding solutions at the 1σ level. Once the neutral anomalies are included, however, a simultaneous explanation is unfeasible.

GM2Calc - 2 for the 2HDM

“…GM2Calc version 2 features 𝑎 𝜇 contributions at the one-loop level taken from [32] and two-loop contributions taken from [75]. See [1] for in-depth details on the contributions included.…”

“…[31]). The general or type-III 2HDM has been shown to be able to explain the flavour changing charged current for 𝑅(𝐷), whilst respecting constraints from the lepton flavour violating (LFV) decays 𝜏 → 𝜇𝛾 and 𝜏 → 3𝜇 [32]. The 2HDM may also provide an explanation for things such as LHC data [33][34][35][36][37], B-anomalies [38][39][40][41][42], and decays of Higgs bosons [43][44][45][46][47][48][49][50][51], to name a few.…”

“…[55,56] use LFV one-loop contributions in the General 2HDM to explain the value of 𝑎 BSM 𝜇 , while Ref. [32] showed the inconsistency of a simultaneous explanation of the 𝑎 𝜇 anomaly with Flavour-Changing Neutral Currents in the General 2HDM.…”

Likelihood analysis of the general 2HDM with Gambit's FlavBit

“…All of the experimental measurements and upper bounds for leptonic observables are shown in Table 4. For a more detailed explanation regarding the computation of the different contributions at the one and two loop level to Δ in the GTHDM see [17].…”

“…This conference paper presents some of the more important results obtained in [17] related to the flavour anomalies in the GTHDM, and is organised as follows. In section 2 we present the Yukawa sector of the GTHDM.…”