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Effects of finite volume on the $K_L$-$K_S$ mass difference · Around

2015

Effects of finite volume on the $K_L$-$K_S$ mass difference

Christ, Norman H., Feng, Xu, Martinelli, Guido et al.

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Phenomena that involve two or more on-shell particles are particularly sensitive to the effects of finite volume and require special treatment when computed using lattice QCD.

In this paper we generalize the results of L\"uscher, and Lellouch and L\"uscher, which determine the leading order effects of finite volume on the two-particle spectrum and two-particle decay amplitudes to determine the finite-volume effects in the second order mixing of the $K^0$ and $\overline{K^0}$ states.
We extend the methods of Kim, Sachrajda and Sharpe to provide a direct, uniform treatment of these three, related, finite-volume corrections.
In particular, the leading, finite-volume corrections to the $K_L$-$K_S$ mass difference $\Delta M_K$ and the CP violating parameter $\epsilon_K$ are determined, including the potentially large effects which can arise from the near degeneracy of the kaon mass and the energy of a finite-volume, two-pion state.

Built on

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N. H. Christ, C. Kim, and T. Yamazaki, Phys. Rev. D72
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Similar

C. h. Kim, C. T. Sachrajda, and S. R. Sharpe, Nucl. Phys. B727
2005
Cited alongside, same era.
N. H. Christ (RBC and UKQCD Collaborations), PoS LATTICE2010
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J. Yu, PoS LATTICE2011
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2011
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J. Yu, PoS LATTICE2012
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2012
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M. T. Hansen and S. R. Sharpe, Phys.Rev. D86
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2012
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N. Christ, T. Izubuchi, C. Sachrajda, A. Soni, and J. Yu (RBC and UKQCD Collaborations), Phys.Rev. D88

Then

K. A. Olive et al. (Particle Data Group), Chin.Phys. C38
2014
Later among the works it cites.
Z. Bai, N. Christ, T. Izubuchi, C. Sachrajda, A. Soni, et al. , Phys.Rev.Lett. 113
Original
2014
Later among the works it cites.
N. H. Christ, G. Martinelli, and C. T. Sachrajda, PoS LATTICE2013
Original
2014
Later among the works it cites.
Z. Bai, (2014), arXiv:1411.3210 [hep-lat]
Original
2014
Later among the works it cites.
R. A. Briceno and M. T. Hansen, (2015), arXiv:1502.04314 [hep-lat]
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2015
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