Calculating $\Delta m_K$ with lattice QCD

Abstract

We have completed a lattice QCD calculation of $\Delta m_K$, the mass difference between the long- and short-lived K mesons. The calculation was performed on a $64^3\times 128$ lattice using 152 configurations with physical quark masses and an inverse lattice spacing of $1/a=2.36$ GeV. While the statistical error approaches a relatively small size of 9%, several sources of systematic errors may have more significant effects. In this paper we will address studies performed on smaller lattices to estimate the systematic errors in our result.

References in corpus (1)

• Results for the mass difference between the long- and short- lived K mesons for physical quark masses

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