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$K_L$ - $K_S$ mass difference computed with a 171 MeV pion mass · Around

2014

$K_L$ - $K_S$ mass difference computed with a 171 MeV pion mass

Bai, Ziyuan

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In this work, we used a $32^3 \times 64 \times 32$, 2+1 flavor domain wall lattice with Iwasaki+DSDR gauge action.

The pion mass is 171 MeV and the kaon mass is 492 MeV.
We implement the Glashow-Iliopoulos-Maiani (GIM) cancellation using charm quark masses of 750 MeV and 592 MeV.
This is an intermediate calculation, in that we are using both a coarse lattice spacing (1/a = 1.37GeV) so we expect significant discretization error coming from charm quark mass and we are also using unphysical kinematics for the pion.

Built on

A general method for non-perturbative renormalization of lattice operators
G. Martinelli, C. Pittori, C.T. Sachrajda, M. Testa, and A. Vladikas · 1995
Earlier work this paper cites.
Weak decays beyond leading logarithms
Gerhard Buchalla, Andrzej J. Buras, and Markus E. Lautenbacher · 1996
Earlier work this paper cites.
Kaon matrix elements and cp violation from quenched lattice qcd: The 3-flavor case
T. Blum, P. Chen, N. Christ, C. Cristian, C. Dawson, G. Fleming, R. Mawhinney, S. Ohta, G. Siegert, A. Soni, P. Vranas, M. Wingate, L. Wu, and Y. Zhestkov · 2003
Earlier work this paper cites.

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Z. Bai, N. H. Christ, T. Izubuchi, C. T. Sachrajda, A. Soni, and J. Yu · 2014
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Finite-volume effects in the evaluation of the K L K_{L} - K S K_{S} mass difference
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