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$K_L-K_S$ mass difference from Lattice QCD · Around

2013

$K_L-K_S$ mass difference from Lattice QCD

Yu, Jianglei

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We will report on the first full calculation of the $K_L-K_S$ mass difference in lattice QCD.

The calculation is performed on a 2+1 flavor, domain wall fermion, $24^3\times 64$ ensemble with a 329 MeV pion mass and a 575 MeV kaon mass.
Both double penguin diagrams and disconnected diagrams are included in this calculation.
The calculation is made finite through the GIM mechanism by introducing a 949 MeV valence charm quark.

Built on

J. F. Donoghue, E. Golowich and B. R. Holstein, LONG DISTANCE CHIRAL CONTRIBUTIONS TO THE K(L) K(S) MASS DIFFERENCE
1984
Earlier work this paper cites.
G. Martinelli, C. Pittori, C. T. Sachrajda, M. Testa and A. Vladikas, A General method for nonperturbative renormalization of lattice operators
1995
Earlier work this paper cites.
G. Buchalla, A. J. Buras and M. E. Lautenbacher, Weak decays beyond leading logarithms
1996
Earlier work this paper cites.

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