Direct CP Violation in K-decay and Minimal Left-Right Symmetry Scale

Abstract

We calculate the new contribution to the direct CP-violation parameter ${\epsilon }^{\prime }$ in $K\to \pi \pi$ decay in the minimal left-right symmetric model with the recently-obtained right-handed quark Cabibbo-Kobayashi-Maskawa mixing. We pay particular attention to the uncertainty in the hadronic matrix element of a leading four-quark operator $O_{-}^{LR}$. We find that it can be related to the standard model electromagnetic penguin operator $O_8$ through $SU(3{)}_L\times SU(3{)}_R$ chiral symmetry. Using the lattice and large $N_c$ calculations, we obtain a robust constraint on the minimal left-right symmetric scale $M_{W_R}>5$ TeV from the experimental data on ${\epsilon }^{\prime }$.

2 figures

References in corpus (6)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• General CP Violation in Minimal Left-Right Symmetric Model and Constraints on the Right-Handed Scale
• A Twin Higgs Model from Left-Right Symmetry
• Right-Handed Quark Mixings in Minimal Left-Right Symmetric Model with General CP Violation
• Cascading to the MSSM

Cited by in corpus (7)

• Right-handed charged currents in the era of the Large Hadron Collider
• An ${\epsilon }^{\prime }$ improvement from right-handed currents
• Neutron Electric Dipole Moment Constraint on Scale of Minimal Left-Right Symmetric Model
• New physics in ε' from chromomagnetic contributions and limits on Left-Right symmetry
• The Higgs Mass, Superconnections and the TeV-scale Left-Right Symmetric Model
• K to ππ hadronic matrix elements of left-right current-current operators
• Vector-like quark doublets, weak-basis invariants and CP violation