Type-X two-Higgs-doublet model in light of the muon <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>g</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:math>: Confronting Higgs boson and collider data
Adil Jueid, Jinheung Kim, Soojin Lee, Jeonghyeon Song
Abstract
The recent Fermilab measurement of the muon anomalous magnetic moment yields $4.2\ensuremath{\sigma}$ deviations from the SM prediction when combined with the BNL E821 experiment results. In the type-X two-Higgs-doublet model, we study the consequence of imposing the observed muon $g\ensuremath{-}2$, along with the constraints from theoretical stabilities, electroweak oblique parameters, Higgs precision data, and direct searches. For a comprehensive study, we scan the whole parameter space in two scenarios, the normal scenario where ${h}_{\mathrm{SM}}=h$ and the inverted scenario where ${h}_{\mathrm{SM}}=H$, where $h$ ($H$) is the light (heavy) $CP$-even Higgs boson. We found that large $\mathrm{tan}\ensuremath{\beta}$ (above 100) and light pseudoscalar mass ${M}_{A}$ are required to explain the muon $g\ensuremath{-}2$ anomaly. This breaks the theoretical stability unless the scalar masses satisfy ${M}_{A}^{2}\ensuremath{\simeq}{M}_{{H}^{\ifmmode\pm\else\textpm\fi{}}}^{2}\ensuremath{\simeq}{m}_{12}^{2}\mathrm{tan}\ensuremath{\beta}\ensuremath{\approx}{M}_{H/h}^{2}$. The direct search bounds at the LEP and LHC exclude the light $A$ window with ${M}_{A}\ensuremath{\lesssim}62.5\text{ }\text{ }\mathrm{GeV}$. We also show that the observed electron anomalous magnetic moment is consistent with the model prediction, but the lepton flavor universality data in the $\ensuremath{\tau}$ and $Z$ decays are not. For a separate exploration of the model, we propose the golden mode $pp\ensuremath{\rightarrow}Ah/AH\ensuremath{\rightarrow}4\ensuremath{\tau}$ at the HL-LHC.