SUPERSYMMETRIC CONTRIBUTIONS TO THE CP ASYMMETRY OF THE B→ϕK_S AND B→η'K_S

Abstract

We analyse the CP asymmetry of the B → φK S and B → η ′ K S processes in general supersymmetric models. We consider both gluino and chargino exchanges in a model independent way by using the mass insertion approximation method. We adopt the QCD factorization method for evaluating the corresponding hadronic matrix elements. We show that chromomagnetic type of operator may play an important role in accounting for the deviation of the mixing CP asymmetry between B → φK S and B → J/ψK S processes observed by Belle and BaBar experiments. We also show that due to the different parity in the final states of these processes, their supersymmetric contributions from the Rsector have an opposite sign, which naturally explain the large deviation between their asymmetries.

Future prospects for the determination of the Wilson coefficient $ C_{{^{{7\gamma }}}}^{\prime } $

“…1 If the amplitude for b → sγ R is of the same order as the SM prediction, or the enhancement of b → sγ R goes along with the suppression of b → sγ L , the impact on the branching ratio is small since the two helicity amplitudes add incoherently. This implies that there can be a substantial contribution of NP to b → sγ escaping detection when only branching ratios are measured.…”

B, D and K decays

“…In this section, we discuss phenomenological effects of the new sources of flavor and CP violation in b → s processes that arise in the squark sector [104,108,109,[804][805][806][807][808][809][810][811][812][813][814][815][816][817][818][819][820][821][822][823] of the MSSM. In general, in the MSSM, squark masses are neither flavor-universal nor aligned to quark masses, so that they are not flavor diagonal in the super-CKM basis, in which quark masses are diagonal and all neutral current vertices are flavor diagonal.…”

The neutron electric dipole form factor in the perturbative chiral quark model

“…Again, as for the case of the EDM, we can show that our Schiff moment is consistent with the ChPT results in leading order of the chiral expansion. As in the case of the neutron EDM, we drop the normalized form factors F πNN and F πNN in equation (45), substituting F πNN = F πNN = 1 and, therefore, F πNN = F πNN = 0. Then we analyse the leading term in the chiral expansion (which is ultraviolet convergent):…”

“…The numerical values of the z-coefficients are given in table 2, where we also present for comparison the values of these coefficients derived in some other approaches: QCD sum rules [25,44], parton quark model [45], SU(6) model [46], MIT bag model [13], current algebra [14], effective chiral approach [16], HBChPT [17], chiral bag model [19], cloudy bag model [20], chiral quark-meson model [21] and extensions of SM [47][48][49][50]. [18]; (0.165 ± 0.075) [44]; 0.05 [47]; 0.10 4/9 e 0.135 [46] z C d 0.39 [18]; (0.33 ± 0.15) [44]; 0.05 [47]; 0.21 8/9 e 0.270 [46] z C s 0.08 [18]; 0.05 [47]; 0.03 [48]; 0.008 [49] 0.004 z W ∼0.085 [35]; ∼0.017 [44]; ∼0.01 [50] 0.094 z θ 2.7 [13]; 3.6 [14]; 3.3 [16]; 6.7 [17]; 3.0 [19]; 1.42 1.4 [20]; 1.17 [21]; 2.4 [25] Note that our results for the coefficient z θ is dominated by the pion-loop diagram.…”