A possible solution of $B$ arrow $\pi \pi$ puzzle in Z' model

Abstract

The discrepancies among the measurements of branching ratios and CP asymmetries of $B$ arrow $\pi \pi$ decays such as large direct CP asymmetry for $B^0$ arrow ${\pi }^{+}{\pi }^{-}$ mode and large branching ratio for $B^0$ arrow ${\pi }^0{\pi }^0$ mode originate the $B$ arrow $\pi \pi$ puzzle. According to diagrammatic approach of this $b$ arrow $d$ transition the small ratio of color-suppressed amplitude (C) to color-allowed one (T) contradicts between the standard model (SM) approach and the experimental values. To make out the ambiguity we need to scrutinize the decays with different topological amplitudes. In this paper, the decays are studied in the SM by taking different values of C/T as constraints. We find that larger ratio of C/T is explained successfully in the SM but the lower ratio is not for which new physics (NP) is needed. The NP contribution can be included in $B$ arrow $\pi \pi$ decays at tree level by Z' boson. Here, we find that Z' model can explain the puzzle by providing a good solution for lower ratio of C/T.

References in corpus (38)

• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Measurement of form-factor independent observables in the decay $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• Decays of $B$ Mesons to Two Light Pseudoscalars
• $R_K$ and future $b\to s\ell \ell$ BSM opportunities
• ELECTROWEAK PENGUINS AND TWO-BODY B DECAYS
• Non-abelian gauge extensions for B-decay anomalies
• B -> pi pi, New Physics in B -> pi K and Implications for Rare K and B Decays
• Dos and don'ts of reduced chi-squared
• Charmless $B\to PP$ decays using flavor SU(3) symmetry
• 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
• Solution to the B -> pi K Puzzle in a Flavor-Changing Z' Model
• Model-independent electroweak penguins in B decays to two pseudoscalars
• Z' models for the LHCb and g-2 muon anomalies
• NNLO vertex corrections to non-leptonic B decays: Tree amplitudes
• The B -> pi K Puzzle and New Physics
• Implications of TeV Flavor Physics for the ΔI =1/2 Rule and the B-meson Semileptonic Branching Ratio
• Lepton-flavor universality violation in $R_K$ and $R_{D^{(\ast )}}$ from warped space
• NNLO Vertex Corrections in charmless hadronic B decays: Imaginary part
• Two-loop current-current operator contribution to the non-leptonic QCD penguin amplitude
• A light $Z^{\prime }$ for the $R_K$ puzzle and nonstandard neutrino interactions
• The B -> pi K Puzzle: 2009 Update
• On Puzzles and Non-Puzzles in B -> pi pi, pi K Decays
• NNLO vertex corrections in charmless hadronic B decays: Real part
• Measuring New-Physics Parameters in B Penguin Decays
• Family Non-universal Z^\prime effects on \bar{B}_q-B_q$ mixing, B\to X_s μ^+μ^- and B_s\to μ^+μ^- Decays
• The CKM Parameters
• New Aspects of B -> pi pi, pi K and their Implications for Rare Decays
• Methods for Measuring New-Physics Parameters in B Decays
• Updated Analysis of Some Two-Body Charmless B Decays
• Exploring $B\to \pi \pi ,\pi K$ Decays at the High-Precision Frontier
• New physics in $B\to \pi \pi$ and $B\to \pi K$ decays
• Study of semileptonic decays $B\to \pi l^{+}{l}^{-}$ and $B\to \rho l^{+}{l}^{-}$ in non-universal Z' model
• Implication of family non-universal $Z^{\prime }$ model to rare exclusive $b\to s(l\bar{l},\nu \bar{\nu })$ transitions
• Effect of Z'-mediated flavor-changing neutral current on B decays into Pi Pi
• The B -> pi pi, pi K Puzzles: Implications for Hadron Physics, New Physics and Rare Decays
• $B\to \pi \pi$ decays: branching ratios and CP asymmetries