Generalized 2HDM with wrong-sign lepton-Yukawa coupling, in light of $$g_{\mu }-2$$ and lepton flavor violation at the future LHC

Abstract

To explain the observed muon anomaly and simultaneously evade bounds from lepton flavor violation in the same model parameter space is a long-cherished dream. In view of a generalized Two Higgs Doublet Model, with a Yukawa structure as a perturbation of Type-X, we are able to get substantial parameter space satisfying these criteria. In this work, we focus on a region with “wrong-sign” lepton-Yukawa coupling which gives rise to interesting phenomenological consequences. Performing a simple cut-based analysis, we show that at 14 TeV run of the LHC with $$300 \mathrm{{fb}}^{-1}$$ 300 fb - 1 integrated luminosity, part of the model parameter space can be probed with significance "Equation missing" which further improves with Artificial Neural Network analysis.

Collider Signatures of Type-X 2HDM + scalar singlet dark matter at HL-LHC

“…It has been shown in various works that the non-standard scalar masses should be close to each other in order to avoid the custodial SU(2) at loop level [63][64][65][66]. The regions of parameter space has also been identified in earlier works [46,48,52,67].…”

“…However, the current precise experimental measurements of g µ − 2 [28][29][30] constrain the model parameter space to a large extent. The details of g µ − 2 in the context of Type X 2HDM have been performed in various studies [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48]. Here we would only mention that the major contribution to g µ − 2 comes from two-loop Bar-Zee diagrams involving lightnon-standard (pseudo)scalars(which are allowed in Type X 2HDM as discussed above) and τ -leptons.…”

“…On the other hand, low masses of the non-standard scalars (especially the pseudoscalar A, since it has most enhanced coupling to the leptons ∝ tan β in Type X 2HDM) are preferred from the observed g µ − 2. The allowed regions in m A − tan β space with the most updated constraints can be found in [48,52].…”

“…For this special feature, Type X 2HDM garners a lot of attention from the observed muon anomaly(g µ − 2) [28][29][30]. It predicts the correct g µ − 2 in certain regions of the model parameter space, which has interesting phenomenological consequence at the LHC [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48].…”

Two-Higgs-doublet models in light of current experiments: a brief review

“…(4.5) we see that h has the same couplings to the fermions and gauge bosons as in the SM, and the heavy CP-even Higgs H has no couplings to the gauge bosons. Now we discuss the wrong-sign Yukawa couplings [63,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82]. The signal data of the 125 GeV Higgs require the absolute values of y f i h and y V h to be close to 1.0.…”