Suppressed $B\to PV$ CP asymmetry: CPT constraint

Abstract

Charge Parity asymmetry in charmless B meson decays is a key issue to be understood. Many theoretical calculations have been performed using short distance factorization approaches which, in general, do not take into account the CPT invariance constraint. For each channel with CP violation there is an equal amount of CP asymmetry in another channel or other channels, with an opposite sign. This happens if these channels are coupled through final state interactions (FSI). In the specific process $B\to PV$, involving one pseudo-scalar and one vector particle in the final state, we argue that the CP asymmetry, inherent from a short distance mechanism, could be suppressed due to the CPT constraint. In this case, we propose a sensitive and practical experimental method to identify even a small CP asymmetry, which provides the values for $A_{CP}$ without the need for an amplitude analysis. This method, if applied directly to data, will enable to extract the CP asymmetry information in a model independent way and check to which extend the suggested suppression due to the CPT constraint is verified.

arXiv commentfinal version

References in corpus (25)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• 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
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• Invariant Operators in Collinear Effective Theory
• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• Fat penguins and imaginary penguins in perturbative QCD
• The pion-pion scattering amplitude
• Measurement of CP violation in the phase space of $B^{\pm }\to K^{+}{K}^{-}{\pi }^{\pm }$ and $B^{\pm }\to {\pi }^{+}{\pi }^{-}{\pi }^{\pm }$ decays
• CP violation and kaon-pion interactions in B --> K pi+ pi- decays
• Three-Body Non-Leptonic B Decays and QCD Factorization
• Updating B --> PP, VP decays in the framework of flavor symmetry
• Dalitz Plot Analysis of B+- --> pi+-pi+-pi-+ Decays
• Interference between f0(980) and rho(770) resonances in B --> pion-pion-kaon decays
• Counting Rule for Hadronic Light-Cone Wave Functions
• CP violation and CPT invariance in B+- decays with final state interactions
• Long-distance effects and final state interactions in B to pion pion K and B to K anti-K K decays
• Towards three-body unitarity in $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$
• S-, P- and D-wave final state interactions and CP violation in B+- --> pi+- pi-+ pi+- decays
• CP violation: Dalitz interference, CPT and FSI
• Final state interactions in B+- to K+ K- K+- decays
• Final state interaction in $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ with $K\pi$ I=1/2 and 3/2 channels
• The Laura++ Dalitz plot fitter
• "Could Charm (\& $\tau$) Transitions be the `Poor Princesses' of Deeper Understanding of Fundamental Dynamics?" -- or -- "Finding Novel Forces?"

Cited by in corpus (14)

• Amplitude analysis of the $B^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}$ decay
• Observation of several sources of $CP$ violation in $B^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}$ decays
• Laura++ : a Dalitz plot fitter
• Direct CP violation in beauty and charm hadron decays
• Branching Fractions and CP Violation in $B^{-}\to K^{+}{K}^{-}{\pi }^{-}$ and $B^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^{-}$ Decays
• Enhanced charm CP asymmetries from final state interactions
• Charm Penguin in $B^{\pm }\to K^{\pm }{K}^{+}{K}^{-}$: partonic and hadronic loops
• CP asymmetry from hadronic charm rescattering in $B^{\pm }\to {\pi }^{-}{\pi }^{+}{\pi }^{\pm }$ decays at the high mass region
• Search for direct $CP$ violation in charged charmless $B\to PV$ decays
• CP violation in the interference between $\rho (770{)}^0$ and $S$-wave in $B^{\pm }\to {\pi }^{+}{\pi }^{-}{\pi }^{\pm }$ decays and its implication for CP asymmetry in $B^{\pm }\to {\rho }^0{\pi }^{\pm }$
• Charm rescattering contribution in rare $B_c^{+}\to K^{+}{K}^{-}{\pi }^{+}$ decay
• Dealing with T and CPT violations in mixing as well as direct and indirect CP violations for neutral mesons decaying to two vectors
• $B^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$: three-body final state interactions and $K\pi$ isospin states
• Estimating QCD-factorization amplitudes through $SU(3)$ symmetry in $B\to PP$ decays