Status of the aligned two-Higgs-doublet model confronted with the Higgs data

Abstract: Imposing the theoretical constraints from vacuum stability, unitarity and perturbativity as well as the experimental constraints from the electroweak precision data, flavor observables and the non-observation of additional Higgs at collider, we study the implications of available Higgs signals on a two-Higgs-doublet model with the alignment of the down-type quarks and charged lepton Yukawa coupling matrices. Compared to the four traditional types of two-Higgs-doublet models, the model has two additional mixing angles $\theta_d$ and $\theta_l$ in the down-type quark and charged lepton Yukawa interactions. We find that the mixing angle $\theta_d$ can loose the constraints on $sin(\beta-\alpha)$, $tan\beta$ and $m_{H^{\pm}}$ sizably. The model can provide the marginally better fit to available Higgs signals data than SM, which requires the Higgs couplings with gauge bosons, $u\bar{u}$ and $d\bar{d}$ to be properly suppressed, and favors (1 <\theta_d< 2, 0.5 <\theta_l< 2.2) for $m_h=$ 125.5 GeV and (0.5 <\theta_d< 2, 0.5 <\theta_l< 2.2) for $m_H=$ 125.5 GeV. However, these Higgs couplings are allowed to have sizable deviations from SM for ($m_h=$ 125.5 GeV, 125.5 $\leq m_H\leq$ 128 GeV) and (125 GeV $\leq m_h\leq$ 125.5 GeV, $m_H=$ 125.5 GeV).