Analysis of angular distribution asymmetries and the associated $CP$ asymmetries in three-body decays of bottom baryons

Abstract

We introduce a set of observables representing angular distribution asymmetries, which can be viewed as a generalization of the forward-backward asymmetry of angular distributions, and can be used as an effective tool to search for $CP$ violation in three-body decays of bottom and charmed baryons. We propose to search for such $CP$ asymmetries (1) in decays with ${\Lambda }^0$, ${\Sigma }^{\pm }$, or ${\Lambda }_c^{+}$ involved, such as ${\Lambda }_b\to {\Lambda }^{0}D$ and ${\Lambda }_b\to {\Lambda }^0\rho (770{)}^0$; and (2) in three-body decays of bottom baryons with opposite parity intermediate resonances involved. Typical examples include ${\Xi }_b^{-}\to p{K}^{-}{K}^{-}$, ${\Lambda }_b^0\to p{K}_S{\pi }^{-}$ and ${\Lambda }_b^0\to p{\pi }^0{\pi }^{-}$, in which the last decay channel is used as a toy model to illustrate of the basic idea.

13 pages, 1 figure, discussion on a toy model added with contribution from J.-J. Qi

References in corpus (10)

• Measurements of $CP$ violation in the three-body phase space of charmless $B^{\pm }$ decays
• CP violation in $B^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$ in the region with low invariant mass of one ${\pi }^{+}{\pi }^{-}$ pair
• Measurements of Direct CP Violating Asymmetries in Charmless Decays of Strange Bottom Mesons and Bottom Baryons
• Direct CP violation in ${\Lambda }_b$ decays
• Measurements of Direct CP-Violating Asymmetries in Charmless Decays of Bottom Baryons
• Study of CP violation in ${\Lambda }_c^{+}$ decay
• Testing CP and Time Reversal Symmetries with ${\Lambda }_b\to \Lambda V(1-)$ Decays
• CP violation in multibody decays of beauty baryons
• New extraction of CP violation in b-baryon decays
• Measuring $\mathbf{CP}$ violating phase in beauty baryon decays

Cited by in corpus (2)

• CP Violation In Baryon Decays At LHCb
• Topological amplitudes of bottom baryon decays in the $SU(3{)}_F$ limit