Demise of CKM and its aftermath

Abstract

Using firmly established experimental inputs such as K , ∆M d , ∆Ms, Br(B → τ ν), γ, V cb along with corresponding lattice matrix elements which have been well studied and are in full QCD such as BK , SU3 breaking ratio ξ, BB s and in particular without using V ub or the pseudoscalar decay constants fB d or fB s from the lattice, we show that the CKM-paradigm now appears to be in serious conflict with the data. Specifically the SM predicted value of sin 2β seems too high compared to direct experimental measured value by over 3σ. Furthermore, our study shows that new physics predominantly effects B-mixings and B d → ψKs, and not primarily in kaon-mixing or in B → τ ν. Model independent operator analysis suggests the scale of underlying new physics, accompanied by a BSM CP-odd phase, responsible for breaking of the SM is less than a few TeV, possibly as low as a few hundred GeV. Two possible BSM scenarios, namely warped extra-dimensions and SM with a 4th generation, are briefly discussed. Generic predictions of warped flavor models are briefly discussed. While SM with 4th generation (SM4) is a very simple way to account for the observed anomalies, SM4 is also well motivated due to its potential role in dynamical electroweak symmetry breaking via condensation of heavy quarks and in baryogenesis.

ΔF = 2 observables and B → X q γ decays in the left-right model: Higgs particles striking back

“…Left-handed charged currents encode at the level of the Lagrangian the full information about flavour mixing and CP violation represented compactly by the CKM matrix. Due to the GIM [1] mechanism this structure has automatically profound implications for the pattern of FCNC processes that seems to be in remarkable accordance with the present data within theoretical and experimental uncertainties [2,3], bearing in mind certain anomalies [2,[4][5][6][7][8][9][10][11][12], in particular in CP-violating observables which are discussed below. As the SM is expected to be only the low-energy limit of a more fundamental theory it is conceivable that at very short distance scales parity could be a good symmetry implying the existence of right-handed (RH) charged currents.…”

“…This topic became rather hot in the last years but the situation is still unclear at present. The Tevatron data for S ψφ combined with the results for the same sign dimuon asymmetry of D0 indicated last spring non-standard CP violation in the B s -system corresponding to S ψφ ≈ 0.8 [10][11][12]. On the other hand the subsequent measurements of CDF and D0 [92,93] and the first more accurate results for S ψφ from LHCb [94] indicate consistency with the SM.…”

“…The vector current s → u transition can be obtained from K → π ν decays [113] with the result |V us | V = 0.2257 (12) .…”

Matching heavy-light currents with NRQCD and HISQ quarks

“…0 . The HISQ wavefunction renormalisation is of course independent of the NRQCD mass and we find C q (ξ = 0) = 0.1145 (1) and C q (ξ = 1) = −0.3940(1).…”

The physics of heavy flavours at SuperB

“…One should also note that there are a number of issues that have recently been raised with regard to existing measurements of B decays that need to be explored in greater detail, as these may already be indications of problems with the SM: sin 2β: The measured value of this quantity from B meson decays to final states including a neutral kaon and charmonium (cc) is 3.2σ from the SM preferred value as highlighted in Ref. [55].…”