Kaon mixing and the charm mass

Abstract

We study contributions to the Delta S=2 weak Chiral Lagrangian producing K0-K0bar mixing which are not enhanced by the charm mass. For the real part, these contributions turn out to be related to the box diagram with up quarks but, unlike in perturbation theory, they do not vanish in the limit m_u->0. They increase the leading contribution to the K_L-K_S mass difference by ~10%. This means that short distances amount to (90+-15)% of this mass difference. For the imaginary part, we find a correction to the lambda_c^2 m_c^2 term of -5% from the integration of charm, which is a small contribution to epsilon_K. The calculation is done in the large-Nc limit and we show explicitly how to match short and long distances.

20 pages, 5 figures. Typos fixed

References in corpus (15)

• Decay of pseudoscalars into lepton pairs and large-Nc QCD
• K0-anti-K0 mixing in the 1/Nc expansion
• New nonrenormalization theorems for anomalous three point functions
• The electroweak pi^+ - pi^0 mass difference and weak matrix elements in the 1/Nc expansion
• Delta I=1/2 and epsilon'/epsilon in Large-Nc QCD
• The CP Conserving Contribution to $K_L\to {\pi }^0\nu \bar{\nu }$
• A Critical Reassessment of Q7 and Q8 Matrix Elements
• Effects from the charm scale in K+ -> pi+ nu nubar
• Long-distance dimension-eight operators in B_K
• Phenomenology from lattice QCD
• Analytic Approaches to Kaon Physics
• Analytic estimates for penguin operators in quenched QCD
• Nonleading charmed quark mass corrections to K^0-anti K^0 mixing in the standard model
• QCD anomalies in hadronic weak decays
• B_K in the chiral limit within the 1/Nc expansion

Cited by in corpus (6)

• Epsilon_K at Next-to-Next-to-Leading Order: The Charm-Top-Quark Contribution
• A Rational Approach to Resonance Saturation in large-Nc QCD
• K^0-\bar K^0 mixing beyond the standard model and CP-violating electroweak penguins in quenched QCD with exact chiral symmetry
• Radiative Kaon Decays and the Penguin Contribution to the Delta I = 1/2 Rule
• Novel patterns for vector mesons from the large-Nc limit
• Power corrections to the CP-violation parameter ${\epsilon }_K$