Emerging lattice approach to the K-Unitarity Triangle

Abstract

It has been clear for past many years that in low energy observables new physics can only appear as a perturbation. Therefore precise theoretical predictions and precise experimental measurements have become mandatory. Here we draw attention to the significant advances that have been made on the lattice in recent years in $K\to \pi \pi$, $\Delta M_K$, the long-distance part of $\epsilon$ and rare K-decays. Thus, in conjunction with experiments, the construction of a unitarity triangle purely from Kaon physics should soon become feasible. Along with the B-unitarity triangle, this should allow for more stringent tests of the Standard Model and tighter constraints on new physics.

9 pages, 6 figures, Version to appear on PLB

References in corpus (14)

• Big-Bang Nucleosynthesis
• Two-Loop Electroweak Corrections for the K -> pi nu anti-nu Decays
• The $B\to D\ell \nu$ form factors at nonzero recoil and $|V_{cb}|$ from $2+1$-flavor lattice QCD
• Improved estimates of rare K decay matrix-elements from Kl3 decays
• Epsilon_K at Next-to-Next-to-Leading Order: The Charm-Top-Quark Contribution
• $K\to \pi \pi$ $\Delta I=3/2$ decay amplitude in the continuum limit
• QED Corrections to Hadronic Processes in Lattice QCD
• Electroweak Corrections to the Charm Quark Contribution to K+ -> pi+ nu nu-bar
• $K_L-K_S$ mass difference from lattice QCD
• Effects of finite volume on the $K_L$-$K_S$ mass difference
• The Custodial Randall-Sundrum Model: From Precision Tests to Higgs Physics
• Experiments with K-Meson Decays
• Matching factors for Delta S=1 four-quark operators in RI/SMOM schemes
• $K\to \pi \nu \bar{\nu }$ in the Standard Model and Beyond

Cited by in corpus (7)

• Direct CP violation in $K^0\to \pi \pi$: Standard Model Status
• Direct CP violation and the $\Delta I=1/2$ rule in $K\to \pi \pi$ decay from the Standard Model
• New Physics Patterns in ${\epsilon }^{\prime }/\epsilon$ and ${\epsilon }_K$ with Implications for Rare Kaon Decays and $\Delta M_K$
• Recent progress in applying lattice QCD to kaon physics
• CP violation in $K\to {\mu }^{+}{\mu }^{-}$ with and without time dependence through a tagged analysis
• Impact of Lattice QCD on CKM Phenomenology
• Complete one-loop QED corrections to $D_s^{+}$ leptonic decays and impact on the CKM unitarity test