Generalized analysis on $B\to K^{\ast }\rho$ within and beyond the Standard Model $-$ Can it help understand the $B\to K\pi$ puzzle?

Abstract

We study $B\to K^{\ast }\rho$ modes that are analogues of the much studied $B\to K\pi$ modes with B decaying to two vector mesons instead of pseudoscalar mesons, using topological amplitudes in the quark diagram approach. We show how $B\to K^{\ast }\rho$ modes can be used to obtain many more observables than those for $B\to K\pi$ modes, even though the quark level subprocesses of both modes are exactly the same. All the theoretical parameters (except for the weak phase $\gamma$), such as the magnitudes of the topological amplitudes and their strong phases, can be determined in terms of the observables without any model-dependent assumption. We demonstrate how $B\to K^{\ast }\rho$ can also be used to verify if there exist any relations between theoretical parameters, such as the hierarchy relations between the topological amplitudes and possible relations between the strong phases. Conversely, if there exist reliable theoretical estimates of amplitudes and strong phases, the presence of New physics could be probed. We show that if the tree and color-supressed tree are related to the electroweak penguins and color-supressed electroweak penguins, it is not only possible to verify the validity of such relations but also to have a clean measurement of New Physics parameters. We also present a numerical study to examine which of the observables are more sensitive to New Physics.

25 pages, 2 figures

References in corpus (37)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Weak Decays Beyond Leading Logarithms
• QCD factorization for B->PP and B->PV decays
• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• Decays of $B$ Mesons to Two Light Pseudoscalars
• Branching fractions, polarisation and asymmetries of B -> VV decays
• Observation of a new charmonium state in double charmonium production in e+ e- annihilation at \sqrt{s} ~ 10.6 GeV
• ELECTROWEAK PENGUINS AND TWO-BODY B DECAYS
• Determination of the Weak Phase gamma from Rate Measurements in B^+- -> pi K, pi pi Decays
• New Bound on gamma from B^+- -> pi K Decays
• Resolution to the B -> pi K puzzle
• Model-independent electroweak penguins in B decays to two pseudoscalars
• Rates, Polarizations, and Asymmetries in Charmless Vector-Vector B Meson Decays
• Measurement of Polarization and Triple-Product Correlations in B -> phi K^* Decays
• The B -> pi K Puzzle and New Physics
• Observation of B+ -> rho+ rho0
• On Puzzles and Non-Puzzles in B -> pi pi, pi K Decays
• Final state interactions for B => VV charmless decays
• Limitations in Measuring the Angle $\beta$ by Using $SU(3)$ Relations for $B$-Meson Decay-Amplitudes
• Measurement of the B0->PhiK*0 Decay Amplitudes
• Observation of B+ --> K0bar K+ and B0 --> K0 K0bar
• Large electroweak penguin contribution in B -> K pi and pi pi decay modes
• Observation of $B^{+}\to \omega K^{+}$ and Search for Related $B$ Decay Modes
• Measurement of the branching fraction, polarization, and CP asymmetry for B0->rho+rho- decays, and determination of the CKM phase phi_2
• Measurements of branching fractions, polarizations, and direct CP-violation asymmetries in B --> rho K* and B --> f0(980) K* decays
• Implications of Charmless B Decays with Large Direct CP Violation
• Determination of the angle gamma using B -> D* V modes
• Measurements of Branching Fractions and Polarization in B > K^* rho Decays
• A Critical Study of the B -> K πPuzzle
• Bounds on New Physics from B -> V1 V2 Decays
• Reparametrization invariance of B decay amplitudes and implications for new physics searches in B decays
• Measurements of branching fraction, polarization, and charge asymmetry of B+ --> rho+ rho0 and a search for B+ --> rho+ f0(980)
• Obtaining the Full Unitarity Triangle from B -> pi K Decays
• Flavor SU(3) Symmetry and Factorization in B Decays to Two Charmless Vector Mesons
• B Meson Decays to mega K*, omega rho, omega omega, omega phi, and omega f0
• Measurements of New Physics in B -> pi pi Decays

Cited by in corpus (8)

• Constraints on the nonuniversal Z^\prime couplings from B\toπK, πK^{\ast} and ρK Decays
• Flavor SU(3) symmetry and QCD factorization in $B\to PP$ and $PV$ decays
• Resolving the $B\to K\pi$ puzzle by Glauber-gluon effects
• Measurements of Charmless Hadronic b->s Penguin Decays in the pi+pi-K+pi- Final State and First Observation of B0 -> rho0K+pi-
• $B_{d,s}^0\to f_1{f}_1$ decays with $f_1(1285)-f_1(1420)$ mixing in the perturbative QCD approach
• Searching for New Physics by means of Relative Phases and Moduli of Decay Amplitudes
• First observation of $CP$ violation and measurement of polarization in $B^{+}\to \rho (770{)}^0{K}^{\ast }(892{)}^{+}$ decays
• Measurement of the branching fractions and longitudinal polarisations of $B_{(s)}^0\to K^{\ast 0}\overline{K}{}^{\ast 0}$ decays