New physics and evidence for a complex CKM

Abstract

We carefully analyse the present experimental evidence for a complex CKM matrix, even allowing for New Physics contributions to ǫ K , a J/ΨK S , ∆M B d , ∆M Bs , and the ∆I = 1/2 piece of B → ρρ and B → ρπ. We emphasize the crucial rôle played by the angle γ in both providing irrefutable evidence for a complex CKM matrix and placing constraints on the size of NP contributions. It is shown that even if one allows for New Physics a real CKM matrix is excluded at a 99.92% C.L., and the probability for the phase γ to be in the interval

Particle-antiparticle mixing,εK, ΔΓq, ASLq, ACP(Bd→ψKS), ACP(Bs→ψphi) and B→Xs,dγ in the Littlest Higgs model with T-parity

“…A detailed test of the relations in (5.5) is presently not possible in view of sizable theoretical and experimental uncertainties and the fact that the two triangles do not differ by much from each other as seen in figure 4. Yet, if one desperately looks for some differences between these two triangles one finds that the "true" values of various parameters extracted from the RUT differ from the corresponding MFV values [37,38,75,76] …”

Spontaneous CP violation in a SUSY model with a complex CKM

“…The novel experimental input is the recent measurement of the angle γ of the unitarity triangle [12,13]. A recent analysis [17] of the present experimental data provides clear evidence for a complex CKM matrix even allowing for the presence of new physics contributions to ε K , a J/ψ K S , ∆M B d and ∆M Bs . These experimental findings lead to the question of whether it is possible to have a SUSY extension of the SM with spontaneous CP violation and a complex CKM matrix.…”

CP violation and limits on New Physics including recent measurements

“…Previous analyses [44,35,46,45,47] addressing the CP-violating nature of the CKM matrix and New Physics contributions to flavour processes provided several interesting lessons:…”

“…The measured value ofᾱ deserves some comment. There is no complete agreement on the value and the shape of this constraint among different authors (see [69]) and thus, following the discussion in [35] concerning it, in the present work we use a pair of gaussian distributions centered at −80 • and 100 • respectively, with standard deviations 11 • . For simplicity, all uncertainties are modeled as gaussians.…”

“…This task has been achieved with the recent measurements [4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21] of the angles γ and α [22,23,24,25,26,27,28,29,30,31,32,33,34] which provide clear evidence [35] for a complex CKM matrix even if one allows for the presence of essentially arbitrary New Physics (NP) contributions at loop level. This is an important result, with profound impact on the question of the origin of CP violation.…”