Triple product asymmetries in K, D_(s) and B_(s) decays

Abstract

One distinguishes between "true" CP violating triple product (TP) asymmetries which require no strong phases and "fake" asymmetries which are due to strong phases but require no CP violation. So far a single true TP asymmetry has been measured in $K_L\to {\pi }^{+}{\pi }^{-}{e}^{+}{e}^{-}$. A general discussion is presented for T-odd TP asymmetries in four-body decays. It is shown that TP asymmetries vanish for two identical and kinematically indistinguishable particles in the final state. Two examples are $D^0\to K^{-}{\pi }^{+}{\pi }^{-}{\pi }^{+}$ and $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^0$. A non-zero TP asymmetry can be expected when non-trivial kinematic correlations exist, as in the decay $K_L\to e^{+}{e}^{-}{e}^{+}{e}^{-}$. Triple product asymmetries measured in charmed particle decays indicate an interesting pattern of final-state interactions. We reiterate a discussion of TP asymmetries in $B$ meson decays to two vector mesons each decaying to a pseudoscalar pair, extending results to decays where one vector meson decays into a lepton pair. We derive expressions for time-dependent TP asymmetries for neutral B decays to flavorless states in terms of the neutral $B$ mass difference $\Delta m$ and the width-difference $\Delta \Gamma$. Time-integrated true CP violating asymmetries, measurable for untagged $B_s$ decays, are shown to be suppressed by neither ${\Gamma }_s/\Delta m_s$ nor $\Delta {\Gamma }_s/{\Gamma }_s$ if transversity amplitudes for CP-even and CP-odd states involve different weak phases. In contrast, fake asymmetries require flavor tagging and are suppressed by the former ratio when time-integrated. We apply our results to $B\to K^{\ast }\varphi$ and $B_s\to \varphi \varphi$ data and suggest an application for $B_s\to J/\psi \varphi$.

minor corrections, submitted to Phys. Rev. D

References in corpus (7)

• Branching fractions, polarisation and asymmetries of B -> VV decays
• Averages of b-hadron and c-hadron Properties at the End of 2007
• Measurement of $\boldmath {B_s^0}$ mixing parameters from the flavor-tagged decay
• Searching for New Physics with B-Decay Fake Triple Products
• Search for CP violation using $T$-odd correlations in $D^{+}\to K^{+}{K}_S^0{\pi }^{+}{\pi }^{-}$ and $D_s^{+}\to K^{+}{K}_S^0{\pi }^{+}{\pi }^{-}$ decays
• $B_s$ Decays and Mixing
• Suppressed Bs decays at CDF

Cited by in corpus (48)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• The Physics of the B Factories
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2018
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• Implications of LHCb measurements and future prospects
• Measurement of matter-antimatter differences in beauty baryon decays
• Probing CP violation systematically in differential distributions
• Rare Decays and CP Violation in the $B_s$ System
• Searching for the Origin of CP violation in Cabibbo Suppressed D-meson Decays
• Measurement of Polarization and Search for CP-Violation in $B_s^0\to \varphi \varphi$ Decays
• Search for CP violation using triple product asymmetries in ${\Lambda }_b^0\to p{K}^{-}{\pi }^{+}{\pi }^{-}$, ${\Lambda }_b^0\to p{K}^{-}{K}^{+}{K}^{-}$ and ${\Xi }_b^0\to p{K}^{-}{K}^{-}{\pi }^{+}$ decays
• CP Violation in ${\bar{B}}^0\to D^{\ast +}{\mu }^{-}{\bar{\nu }}_{\mu }$
• A Measurable Angular Distribution for $\bar{B}\to D^{\ast }{\tau }^{-}{\bar{\nu }}_{\tau }$ Decays
• Search for $CP$ violation using $T$-odd correlations in $D^0\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ decays
• Observation of the decay ${\Lambda }_b^0\to p{K}^{-}{\mu }^{+}{\mu }^{-}$ and a search for $CP$ violation
• Measurement of the polarization amplitudes and triple product asymmetries in the B_s^0 -> phi phi decay
• Measurement of polarization amplitudes and CP asymmetries in $B^0\to \varphi K^{\ast }(892{)}^0$
• Four-body decays $B_{(s)}\to (K\pi {)}_{S/P}(K\pi {)}_{S/P}$ in the perturbative QCD approach
• Colloquium: Time-reversal violation with quantum-entangled B mesons
• Observation of the ${\Lambda }_b^0\to \Lambda \varphi$ decay
• Measurement of $CP$ asymmetries and polarisation fractions in $B_s^0\to K^{\ast 0}\bar{K}{}^{\ast 0}$ decays
• Measurement of CP violation in $B_s^0\to \varphi \varphi$ decays
• New Physics in b -> s Transitions and the B_{d,s}^0 -> V_1 V_2 Angular Analysis
• Prospects for CP & P violation in ${\Lambda }_c^{+}$ decay at STCF
• Study of $B_{(s)}\to (\pi \pi )(K\pi )$ decays in the perturbative QCD approach
• Measurement of CP violation in the $B_s^0\to \varphi \varphi$ decay and search for the $B^0\to \varphi \varphi$ decay
• Observation of charmless baryonic decays $B_{(s)}^0\to p\overline{p}{h}^{+}{h}^{\prime -}$
• A novel observable for $CP$ violation in multi-body decays and its application potential to charm and beauty meson decays
• Implications for the $\Delta A_{FB}$ anomaly in ${\bar{B}}^0\to D^{\ast +}{\ell }^{-}\bar{\nu }$ using a new Monte Carlo Event Generator
• CPT violation and triple-product correlations in B decays
• Recent advances in charm mixing and $CP$ violation at LHCb
• Search for $CP$ violation with kinematic asymmetries in the $D^0\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ decay
• Experimental prospects for C, P, T, CP, and CPT tests
• Searching for possible evidences of new physics in $B\to V_1{V}_2$
• $CP$-violating observables in four-body $B\to \varphi (\to K\bar{K})K^{\ast }(\to K\pi )$ decays
• Searching for New Physics in Semi-Leptonic Baryon Decays
• Baryon Polarization, Phases of Amplitudes and Time Reversal Odd Observables
• Observation of $J/\psi$ decays to $e^{+}{e}^{-}{e}^{+}{e}^{-}$ and $e^{+}{e}^{-}{\mu }^{+}{\mu }^{-}$
• CP Asymmetries in Many-Body Final States in Beauty & Charm Transitions
• First evidence of $CP$ violation in beauty baryon to charmonium decays
• Search for $CP$ violation in $D_{(s)}^{+}\to K^{+}{K}_S^0{h}^{+}{h}^{-}$ $(h=K,\pi )$ decays and observation of the Cabibbo-suppressed decay $D_s^{+}\to K^{+}{K}^{-}{K}_S^0{\pi }^{+}$
• First observation of $CP$ violation and measurement of polarization in $B^{+}\to \rho (770{)}^0{K}^{\ast }(892{)}^{+}$ decays
• CP violation in $b$ hadrons at LHCb
• CP Violation in Same-sign Dilepton Production at the LHC
• CP Violation in $B$ Decays (and the Search for New Physics)
• Observation of $D^{+}\to K_S^0{\pi }^0{\mu }^{+}{\nu }_{\mu }$, Test of Lepton Flavor Universality and First Angular Analysis of $D^{+}\to {\bar{K}}^{\ast }(892{)}^0{\ell }^{+}{\nu }_{\ell }$
• $CP$ violation in $B_s^0$ decays at LHCb
• $B\to VV$ Decays - Polarization and Triple Products