Implication of the B -> rho rho data on the B -> pi pi puzzle

Abstract

We point out that the B -> rho rho data have seriously constrained the possibility of resolving the B -> pi pi puzzle from the large observed B^0 -> pi^0 pi^0 branching ratio in the available theoretical approaches. The next-to-leading-order (NLO) contributions from the vertex corrections, the quark loops, and the magnetic penguin evaluated in the perturbative QCD (PQCD) approach have saturated the experimental upper bound of the B^0 -> rho^0 rho^0 branching ratio, and do not help. The NLO PQCD predictions for the B^0 -> rho^\mp rho^\pm and B^\pm -> rho^\pm rho^0 branching ratios are consistent with the data. The inclusion of the NLO jet function from the soft-collinear effective theory into the QCD-improved factorization approach, though enhancing the B^0 -> pi^0 pi^0 branching ratio sufficiently, overshoots the bound of the B^0 -> rho^0 rho^0 branching ratio, and deteriorates the predictions for the B^\pm -> pi^0 K^\pm and B^0 -> pi^\mp K^\pm direct CP asymmetries.

arXiv comment15 pages, 1 figure, REVTeX4; title changed, version to appear in Phys. Rev. D

References in corpus (47)

• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• QCD factorization for B->PP and B->PV decays
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• Fat penguins and imaginary penguins in perturbative QCD
• B_{d,s}->rho, omega, K*, phi Decay Form Factors from Light-Cone Sum Rules Revisited
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Formalism and Twist Three Distributions
• Final State Interactions in Hadronic B Decays
• Exclusive Semileptonic and Rare B-Meson Decays in QCD
• B -> M1 M2: Factorization, Charming Penguins, Strong Phases, and Polarization
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• Anatomy of Prominent B and K Decays and Signatures of CP-Violating New Physics in the Electroweak Penguin Sector
• B -> pi pi, New Physics in B -> pi K and Implications for Rare K and B Decays
• Charming Penguins in B decays
• Charmless $B\to PP$ decays using flavor SU(3) symmetry
• Polarization in B->VV Decays
• Resolution to the B -> pi K puzzle
• Heavy-to-light B meson form factors at large recoil energy -- spectator-scattering corrections
• The B -> pi K Puzzle and New Physics
• Polarizations in B -> VV decays
• Perturbative QCD analysis of $B\to \varphi K^{\ast }$ decays
• Final state interactions for B => VV charmless decays
• Charmless B -> VV Decays in QCD Factorization: Implications of Recent $B\to \varphi K^{\ast }$ Measurement
• Data for Polarization in Charmless B -> phi K^*: A Signal for New Physics?
• A Possibility of large electro-weak penguin contribution in B -> K pi modes
• Large electroweak penguin contribution in B -> K pi and pi pi decay modes
• Polarizations in decays B_{u,d}\to VV and possible implications for R-parity violating SUSY
• Weak phases from the $B\to \pi \pi$, $K\pi$ decays
• Implications of Charmless B Decays with Large Direct CP Violation
• Final State Rescattering and Color-suppressed \bar B^0-> D^{(*)0} h^0 Decays
• Charmless two-body B decays: A global analysis with QCD factorization
• Annihilation effects in $B\to \pi \pi$ from QCD Light-Cone Sum Rules
• Calculation of Magnetic Penguin Amplitudes in B -> phi K Decays using PQCD Approach
• Testing QCD factorisation and charming penguins in charmless $\mathbf{B}\to \mathbf{PV}$
• Branching Ratio and Polarization of $B\to \rho (\omega )\rho (\omega )$ Decays in Perturbative QCD Approach
• Charmless $B\to PV,VV$ decays and new physics effects in the mSUGRA model
• Indication for Large Rescatterings in Charmless Rare B Decays
• The CKM matrix and CP Violation
• The puzzles in $B\to \pi \pi$ and $\pi K$ decays: possible implications for R-parity violating supersymmetry
• Testing the dynamics of B -> ππand constraints on α
• Weak phases from topological-amplitude parametrization
• Analysis of Supersymmetric Effects on B -> phi K Decays in the PQCD Approach
• Measurements of New Physics in B -> pi pi Decays
• Looking for Delta I = 5/2 amplitude components in B -> pi pi and B -> rho rho experiments
• Factorization fits to charmless strangeless B decays

Cited by in corpus (46)

• Next-to-leading-order corrections to $B\to \pi$ form factors in $k_T$ factorization
• Revisiting Charmless Hadronic B_{u,d} Decays in QCD Factorization
• SM with four generations: Selected implications for rare B and K decays
• Penguin-dominated B -> PV decays in NLO perturbative QCD
• Improved Estimates of The $B_{(s)}\to VV$ Decays in Perturbative QCD Approach
• Unparticle phase effects
• Charmless Two-body $B(B_s)\to VP$ decays In Soft-Collinear-Effective-Theory
• Study of scalar mesons f_0(980) and f_0(1500) from $B\to f_0(980)K$ and $B\to f_0(1500)K$ Decays
• Possible resolution of the B -> pi pi, pi K puzzles
• Study of $K_0^{\ast }(1430)$ and $a_0(980)$ from $B\to K_0^{\ast }(1430)\pi$ and $B\to a_0(980)K$ Decays
• Charmless Hadronic B-Meson Decays
• Charmless two-body $B$ meson decays in perturbative QCD factorization approach
• Hochschild homology, trace map and $\zeta$-cycles
• Glauber gluons in spectator amplitudes for $B\to \pi M$ decays
• Higher order QCD corrections in exclusive charmless B decays
• Study of B^0 -> rho^0 rho^0 decays, implications for the CKM angle phi_2 and search for other B^0 decay modes with a four-pion final state
• Resolving the $B\to K\pi$ puzzle by Glauber-gluon effects
• New physics in $B\to \pi \pi$ and $B\to \pi K$ decays
• Revisiting the B {\to} π ρ, π ω Decays in the Perturbative QCD Approach Beyond the Leading Order
• Study of ${\mathbf{B}}^0\to {\rho }^{+}{\rho }^{-}$ decays and implications for the CKM angle ${\varphi }_2$
• Transverse-momentum-dependent wave functions with Glauber gluons in $B\to \pi \pi$, $\rho \rho$ decays
• What can we learn from $B\to a_1(1260)(b_1(1235))\pi (K)$ decays?
• Anatomy of $B_s\to PV$ decays and effects of next-to-leading order contributions in the perturbative QCD factorization approach
• Reexamining charmless B\to PV decays in QCD factorization approach
• Implications of new data in charmless B decays
• Measurement of $B^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ Decays and Search for $B^0\to {\rho }^0{\rho }^0$
• The effects of a family non-universal Z-prime boson on B--->pipi decays
• $B\to a_1(1260)a_1(1260)$ and $b_1(1235)b_1(1235)$ decays in the perturbative QCD approach
• Charmless $B\to PP,PV,VV$ Decays Based on the six-quark Effective Hamiltonian with Strong Phase Effects
• Measurement of the branching fraction and $CP$ asymmetry in $B^0\to {\pi }^0{\pi }^0$ decays, and an improved constraint on ${\varphi }_2$
• Nonleptonic decays of $B\to (f_1(1285),f_1(1420))V$ in the perturbative QCD approach
• Glauber gluons in pion-induced Drell-Yan processes
• A simultaneous explanation of the large phase in B_s-\bar B_s mixing and B --> ππ/ πK puzzles in R-parity violating supersymmetry
• Search for the decay $B^{+}\to \overline{K}{}^{\ast 0}{K}^{\ast +}$ at Belle
• Study of the four-body decays $B_S^0\to \pi \pi \pi \pi$ in the perturbative QCD approach
• $B_{d,s}^0\to f_1{f}_1$ decays with $f_1(1285)-f_1(1420)$ mixing in the perturbative QCD approach
• Study of $B\to PP$ decays in the modified perturbative QCD approach
• Right-handed current contributions in B -> K pi decays
• Revisiting the $B^0\to {\pi }^0{\pi }^0$ decays in the perturbative QCD approach
• A solution to B --> pi pi puzzle and B --> K K
• Study of B^{0}_{s} \rightarrow \ TT(a_{2}(1320),K^{*}_{2}(1430),f_{2}(1270),f^{'}_{2}(1525)) in the perturbative QCD approach
• Exclusive Charmless $B$ Decays in QCD
• Hadronic decays of $B\to a_1(1260)b_1(1235)$ in the perturbative QCD approach
• Branching fraction, $CP$ asymmetry, and polarization in $B\to \rho \rho$ decays with the modified perturbative QCD approach
• Glauber gluons in pion-induced Drell-Yan processes revisited
• Constraining Charming Penguins in Charmless B Decays