Pursuit of new physics within the ${\Lambda }_c\to \Delta K$ decays

Abstract

We point out the $CP$ asymmetry in the chain decay of ${\Lambda }_c^{+}\to {\Delta }^{+}K(t)(\to {\pi }^{+}{\pi }^{-})$ is determined by the branching fractions of ${\Lambda }_c^{+}\to {\Delta }^{++}{K}^{-}$, ${\Lambda }_c^{+}\to {\Delta }^{+}{K}_{S,L}^0$ and ${\Lambda }_c^{+}\to {\Delta }^0{K}^{+}$ modes under the isospin symmetry. The ambiguities from loop-induced quantities and $SU(3{)}_F$ breaking hadronic effects are avoided. Once the $CP$ asymmetry in the ${\Lambda }_c^{+}$ decays into ${\Delta }^{+}$ and neutral kaons is confirmed by experiments, we can check if it is beyond the Standard Model, or verify the $CP$-violating effect resulted from the interference between the Cabibbo-favored and the doubly Cabibbo-suppressed amplitudes with the neutral kaon mixing. Future measurements of branching fractions play a critical role in reducing the uncertainties.

13 pages, 1 figure, published version

References in corpus (6)

• Topological amplitudes in $D$ decays to two pseudoscalars: a global analysis with linear $SU(3{)}_F$ breaking
• Enhancement of charm CP violation due to nearby resonances
• Charmed Baryon Weak Decays with Decuplet Baryon and SU(3) Flavor Symmetry
• Neutral $D\to K{K}^{\ast }$ decays as discovery channels for charm CP violation
• SU(3) in D decays: From $30\%$ symmetry breaking to $10^{-4}$ precision
• From topological amplitude to rescattering dynamics

Cited by in corpus (2)

• Isospin sum rules in charmed baryon weak decays
• Study of CP Violation in $D^{\pm }\to K^{\ast }(892{)}^0{\pi }^{\pm }+{\bar{K}}^{\ast }(892{)}^0{\pi }^{\pm }\to K_{S,L}^0{\pi }^0{\pi }^{\pm }$ Decays