Transverse-momentum-dependent wave functions with Glauber gluons inB→ππ,ρρdecays

Abstract

We investigate the Glauber-gluon effect on the B → ππ and ρρ decays, which is introduced via a convolution of a universal Glauber phase factor with transverse-momentum-dependent (TMD) meson wave functions in the kT factorization theorem. For an appropriate parametrization of the Glauber phase, it is observed that a TMD wave function for the pion (ρ meson) with a weak (strong) falloff in parton transverse momentum kT leads to significant (moderate) modification of the B 0 → π 0 π 0 (B 0 → ρ 0 ρ 0 ) branching ratio: the former (latter) is enhanced (reduced) by about a factor of 2 (15%). This observation is consistent with the dual role of the pion as a massless Nambu-Goldstone boson and as a qq bound state, which requires a tighter spatial distribution of its leading Fock state relative to higher Fock states. The agreement between the theoretical predictions and the data for all the B → ππ and ρ 0 ρ 0 branching ratios is then improved simultaneously, and it is possible to resolve the B → ππ puzzle.

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

“…During the past two decades, such two-body hadronic B/B s meson decays have been studied systematically and successfully by employing various kinds of factorizations approaches. The three major factorization approaches are the QCD-improved factorization (QCDF) [17][18][19][20][21][22], the perturbative QCD (PQCD) factorization approach [23][24][25][26][27][28][29][30][31][32][33][34] and the soft-collinear-effective theory (SCET) [35][36][37][38][39]. For most B/B s → h 1 h 2 decay channels, the theoretical predictions obtained by using these different factorization approaches agree well with each other and also turn out to be well consistent with the data within errors.…”

Quasi-two-body decays B(s)→Pρ→Pππ in the perturbative QCD approach

“…Similar with the ππ, πK or ρρ puzzles discussed in Refs. [84,[95][96][97][98][99][100][101][102], the B → πρ puzzle has been noticed by some groups [103][104][105][106][107][108][109]. For example, in Ref.…”

Nonleptonic decays of B→(f1(1285),f1Liu1, Xiao2 2016Phys. Rev. DSelf Cite15190View full textAdd to dashboardCite

“…Now, we will extend this pQCD formalism to nonleptonic B → f 1 V decays, with B 1 (V ) being the B + , B 0 , and B 0 s ( the lightest vector ρ, K * , ω, and φ) states, in which the B 0 s → f 1 V decays are studied theoretically for the first time in the literature, although no data on these B → V A, AV type modes has been released so far. Though many efforts have been made to develop the next-to-leading order pQCD formalism [22,23], because of a well-known fact that leading order contributions dominate in the perturbation theory, here we will still work at leading order to clarify the physics for convenience. We will calculate the CP-averaged branching ratios, the polarization fractions, the CP-violating asymmetries, and the relative phases of 20 nonleptonic weak decays of B → f 1 V by employing the low energy effective Hamiltonian [24] and the pQCD approach based on the k T factorization theorem.…”