We demonstrate the lattice QCD calculation of the long distance contribution
to $\epsilon_K$. Due to the singular, short-distance structure of
$\epsilon_K$, we must perform a short-distance subtraction and introduce a
corresponding low-energy constant determined from perturbation theory, which
we calculate at Next Leading Order (NLO). We perform the calculation on a
$24^3 \times 64$ lattice with a pion mass of 329 MeV. This work is a
complete calculation, which includes all connected and disconnected
diagrams.
Volume 256 -
34th annual International Symposium on Lattice Field Theory (LATTICE2016) -
Weak Decay and Matrix Elements
Long distance part of $\epsilon_K$ from lattice QCD
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Pre-published on:
February 13, 2017
Published on:
March 24, 2017
Abstract
DOI: https://doi.org/10.22323/1.256.0309
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Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.