Kaon Mixing Beyond the SM from Nf=2 tmQCD and model independent constraints from the UTA

Abstract

We present the first unquenched, continuum limit, lattice QCD results for the matrix elements of the operators describing neutral kaon oscillations in extensions of the Standard Model. Owing to the accuracy of our calculation on ΔS=2 weak Hamiltonian matrix elements, we are able to provide a refined Unitarity Triangle analysis improving the bounds coming from model independent constraints on New Physics. In our non-perturbative computation we use a combination of Nf=2 maximally twisted sea quarks and Osterwalder-Seiler valence quarks in order to achieve both O(a)-improvement and continuum-like renormalization properties for the relevant four-fermion operators. The calculation of the renormalization constants has been performed non-perturbatively in the RI-MOM scheme. Based on simulations at four values of the lattice spacing and a number of quark masses we have extrapolated/interpolated our results to the continuum limit and physical light/strange quark masses.

small corrections to RC matrix Z_Q for i,j=2,3; marginal corrections to bag parameters B_4, B_5, and ratios R_4, R_5; results on NP scales from UTfit analysis unchanged; 66 pages, 12 figures

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• The Flavor of the Composite Pseudo-Goldstone Higgs
• Sigma terms and strangeness content of the nucleon with $N_f=2+1+1$ twisted mass fermions
• Kaon $B$-parameter from improved staggered fermions in $N_f=2+1$ QCD

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