Studying The Neutral Meson Mixings In Two-Higgs Doublet Models With Minimal Flavor Violation

Particle physics is a branch of physics that studies the basic particles of matter and their interactions.The standard model of particle physics describes strong interaction,electromagnetic interaction and weak interaction in a unified way.It has withstood the test of high-energy experiments and achieved unprecedented success.But some problems remain unresolved,so new physics beyond the standard model is required.The two-Higgs doublet model?2HDM?,one of many new physics,adds a scalar Higgs doublet to the standard model.In the minimal flavor violation case,the two-Higgs doublet model is divided into type-? and type-C model.Many observables related to the neutral meson mixings have been measured,and these experimental measurements could be used to test various new physics models.In this paper,B_s⁰-???_s⁰,B_d⁰-???_d⁰,D⁰-???⁰ and K⁰-???⁰ mixings are explored in the 2HDMs with minimal flavor violation?MFV?.Based on the existing experimental measurements,we give the constrained NP couplings in type-? and type-C models with the real and complex couplings.We have found that:?1?In the case of real couplings,the,B_s0,B_d⁰ and K0 mixings may give obvious bounds on the upper limits of |Au|.The D⁰ mixing could obviously constrain the upper limits of |Ad|.The finally effective allowed spaces come from the B_s⁰,B_d⁰ and D⁰ mixings in the type-? model and come from the BS0,D⁰ and K0 mixings in the type-C model.And the constrained NP couplings have no very large effects on A_SL^S,d,??Bd,yBd,?_s^c???s,?_d^c???d,?₁₂^s and ?₁₂^d,which have not been measured or well measured yet,in both type-? and type-C models.?2?In both type-? and type-C models with the complex couplings,the experimental measurements of the B_s⁰,D⁰ and K⁰ mixings give the finally effective constraints on the NP couplings,and the finally constrained NP couplings still could have very large effects on the CP-violating phases ?_q^c???q,mixing phases ?₁₂^q and the flavor specific CP asymmetry AqSL of the B_s⁰ mixings.We have find that these phases are very sensitive to the relative phase ?,but they have the reverse trends of changes to ? between type-? and type-C models.