Charmless three-body decays ofBsmesons

Abstract

Branching fractions and CP-violating asymmetries of charmless B 0 s → P P P decays with P = K, π are studied using a simple model based on the factorization approach. The penguin-dominated modes B 0 s → K 0 K + π − and K 0 K − π + have the largest rates among the three-body B s decays and they are dominated by the K * 0 (1430) resonances and nonresonant contributions. The branching fraction of B 0 s → K 0 K + K − is predicted to be of order 1.4 × 10 −6 , which is in the middle of the measured result (0.2 − 3.4) × 10 −6 obtained by LHCb. We find sizable CP violation in K 0 π + π − , K 0 π 0 π 0 , K 0 K + K − and K S K S K S channels. Just as the B u sector, the CP asymmetries of B 0 s → K 0 π + π − and B 0 s → K 0 K + K − have similar magnitudes but are opposite in sign. Several modelindependent relations based on U -spin symmetry for CP asymmetries are derived. Although they cannot be tested by the present available data, they can be checked by the dynamical calculations. Since the U -spin symmetry which relates various matrix elements of scalar densities, for example, K 0 K|dq|0 and K 0 π|sq|0 , is badly broken, the derived U -spin relations are generally not well respected.

Masses and strong decay properties of radially excited bottom states B(2S) and B(2P) with their strange partners Bs(2S) and Bs(2P)

“…This kind of analysis is already performed for n=1 states in Ref. [25], where the value of δ∆ S ∼ O(−35) MeV…”

“…The parameter Λ is the energy of the light quark fields (i.e. brown muck), λ 1 term represents the kinetic energy of the heavy quark Q and the term λ 2 gives the chromomagnetic interaction energy [25][26][27]. Since value of kinetic energy of the heavy quark is positive , the value of the parameter λ 1 should be negative.…”

“…∆ F parameter which represents the mass splittings between the higher mass doublets and the ground state doublet and the λ F parameter which represents the hyperfine splittings between spin partners, are same for both charm and bottom mesons. This symmetry is broken by the higher order terms in the HQET lagrangian involving terms of factor 1/m Q and the parameters ∆ F and λ F are modified by extra term δ∆ F and δλ F [25].…”

The S-wave resonance contributions to the three-body decays $$B^0_{(s)}\rightarrow \eta _c f_0(X)\rightarrow \eta _c\pi ^+\pi ^-$$ B ( s ) 0 → η c f 0 ( X ) → η c π + π - in perturbative QCD approach

“…[47][48][49], the authors calculated the branching ratios and direct CP violation for the charmless three-body hadronic decays B → 3h with h = (π, K ) by using a simple model based on the factorization approach. They evaluated the non-resonant contributions to the considered decays in the framework of heavy meson chiral perturbation theory (HMChPT) with some modifications, while describing the resonant contributions by using the isobar model in terms of the usual Breit-Wigner formalism.…”

“…In fact, the three-body hadronic B/B s meson decays have been studied for many years for example in Refs. [40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55] by employing the isobar model and/or other rather different theoretical approaches, but it is still in the early stage for both the theoretical studies and the experimental measurements of such kinds of three-body decays. For example, the factorization for such three-body decays has not been verified yet, and many important issues remain to be resolved.…”