Follow-up on non-leptonic kaon decays at large N_c

2018/10/15 by Romero-López, Fernando, Donini, Andrea, Hernández, Pilar +1
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.1810.06285

Abstract

We report on the status of our dynamical simulations of a SU (N_c ) gauge theory with N_c=3-6 and N_f =4 fundamental fermions. These ensembles can be used to study the Large N_c scaling of weak matrix elements in the GIM limit m_c=m_u, that might shed some light on the origin of the ΔI=1/2 rule. We present preliminary results for the K → π matrix elements in the N_c=3 dynamical simulations, where we observe a significant effect of the quark loops that goes in the direction of enhancing the ratio of A₀/A₂ amplitudes. Finally, we present the relevant NLO Chiral Perturbation Theory predictions for the relation between K → π and K → ππ amplitudes in the light charm limit.

Related

• I : Chiral Perturbation for Kaons II: The ΔI=1/2-rule in the Chiral Limit
• Meson interactions at large N_c from Lattice QCD
• Contribution of the charm quark to the ΔI=1/2 rule
• Large-N_c Higher Order Weak Chiral Lagrangians for Nonleptonic and Radiative Kaon Decays
• The Delta I=1/2 Rule in Kaon Decays: A New Look