GlobalSU(3)/U(3)flavor symmetry analysis forB

Abstract

A large number of new experimental data on B decay into two light pesudoscalar (P ) mesons have been collected by the LHCb collaboration. Besides confirming information on B u,d → P P decays obtained earlier by B-factories at KEK and SLAC, new information on B s → P P and also more decay modes with P being η or η ′ have been obtained. Using these new data, we perform a global fit for B → P P to determine decay amplitudes in the framework of SU (3)/U (3) flavor symmetry.We find that SU (3) flavor symmetry can explain data well. The annihilation amplitudes are found to be small as expected. Several CP violating relations predicted by SU (3) flavor symmetry are in good agreement with data. Current available data can give constraints on the amplitudes which induce P = η, η ′ decays in the framework of U (3) flavor symmetry, and can also determine the η − η ′ mixing angle θ with θ = (−18.4 ± 1.2) • . Several B → P P decay modes which have not been measured are predicted with branching ratios accessible at the LHCb. These decays can provide further tests for the framework of SU (3)/U (3) flavor symmetry for B decays.

Flavor SU (3) topological diagram and irreducible representation amplitudes for heavy meson charmless hadronic decays: mismatch and equivalence

“…From Eq. (14), one can see that the C T 3 is a combination of color-allowed tree T , color-suppressed tree amplitude C and others while the B T 15 corresponds to (T ES + T T S) /8 in TDA approach. The fitted result in Eq.…”

“…Since the SU(3) invariant amplitudes can be determined by fitting the data, the SU(3) analysis also provides a bridge between the experimental data and the dynamic approaches.In the literature, the SU(3) analysis has been formulated in two distinct ways. One is to derive the decay amplitudes correspond to various topological diagrams (TDA) [15][16][17][18][19][20], and another is to construct the SU(3) irreducible representation amplitude (IRA) by decomposing effective Hamiltonian according to irreducible representations [10][11][12][13][14]. These two methods should give the same physical results in the SU(3) limit when all relevant contributions are taken into account.…”

Charmed baryon weak decays with SU(3) flavor symmetry

“…On the other hand, with the advantage of avoiding the detailed dynamics of QCD, the approach with SU(3) flavor (SU(3) f ) symmetry can relate decay modes in the b and c-hadron decays [22,[28][29][30][31][32][33][34][35][36][37], where the SU(3) amplitudes receive non-perturbative and non-factorizable effects, despite the unknown sources. In this paper, in terms of SU(3) f symmetry, we will examine the semileptonic and non-leptonic two-body B c decays, search for decay modes accessible to experiment, and establish the spectroscopy of the charmed baryon states.…”

Antitriplet charmed baryon decays with SU(3) flavor symmetry

“…Since BESIII and LHCb are expected to search for all possible antitriplet charmed baryon decays, one can test whether or not the studies of Λ þ c → B n M can be applied to Ξ 0;þ c → B n M. Theoretically, the factorization for the b baryon decays [8][9][10][11][12][13] does not work for the charmed baryon decays, which receive corrections by taking into account the nonfactorizable effects [14][15][16][17][18][19]. On the other hand, the possible b or c hadron decay modes can be examined by the SUð3Þ f symmetry [20][21][22][23][24][25][26][27][28][29][30][31]. Furthermore, the symmetry approach has been extended to explore the doubly and triply charmed baryon decays [31], which helps to establish the spectroscopies of the doubly and triply charmed baryon states [32], such as the to-be-confirmed Ξ þ cc state [33][34][35][36][37][38].…”