B0→φKSin supergravity models withCPviolations

Abstract

We examine the B → φK decays within the framework of SUGRA models making use of the improved QCD factorization method of Beneke et al. which allows calculations of non-factorizable contributions. All other experimental constraints (B → X s γ, neutron and electron electric dipole moments, dark matter constraints, etc.) are imposed. We calculate the CP violating parameters S φK S , C φK S and A φK ∓ as well as the branching ratios (BR) of B 0 and B ± , Br[B → φK]. We find for the Standard Model(SM) and mSUGRA it is not possible to account for the observed 2.7σ deviation between S φK S and S J/ΨK S . In general the BRs are also in 3σ disagreement with experiment, except in the parameter region where the weak annihilation terms dominate the decay (and hence where the theory is least reliable). Thus if future data confirm the current numbers, this would represent the first significant breakdown of both the SM and mSUGRA. We show then that adding a SUGRA non-universal A soft breaking left-right term mixing the second and third generations in either the down or up quark sector, all data can be accommodated for a wide range of parameters. The full 6x6 quark mass matrices are used and the SUSY contributions calculated without approximation.

Dark Matter, Muon g-2 and Other SUSY Constraints

“…However, it is still possible for the theory to be within 1σ of the experiment with reasonable choices of parameters. [38]. In all the above cases (∆A U or ∆A D ) the direct CP violating effects are small i.e.…”

“…The first possibility gives rise to left-left or right-right couplings only, and it was shown in [37] that these produce only a small effect on the B → φK decays. We therefore consider instead A U,D 23 terms which produce left-right couplings [38]. We write…”

CP asymmetries of B→ϕK and B→η(′)K decays

“…and the large negative sin(2φ 1 ) φKs [12,13,14,15,16,17]. However, attempts of simultaneous explanation for the observed data of these decay modes were made only by using the naive factorization technique [13,15].…”

“…where ∆A It has been noticed [16] that the SUSY contribution mainly affect the Wilson coefficients C 8g(7γ) andC 8g(7γ) and these coefficients do not change the weak annihilation effects arising from the SM calculation. In our analysis, we consider all the known experimental constraints on the parameter space of the model, as in Ref.…”

“…In our analysis, we consider all the known experimental constraints on the parameter space of the model, as in Ref. [16]. Those constraints come from the radiative B decay process B → X s γ (2.2 × 10 −4 < Br(B → X s γ) < 4.5 × 10 −4 [25,26]), neutron and electron electric dipole moments (d n < 6.3 × 10 −26 e cm, d e < 0.21 × 10 −26 e cm From the experimental constraints, we find that θ 1 ≈ 22 0 , θ 3 ≈ 30 0 , and θ µ ≈ −11 0 .…”