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2010

$K\to(\pi\pi)_{I=2}$ decays and twisted boundary conditions

Kim, C. h., Sachrajda, C. T.

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We propose a new method to evaluate the Lellouch-L\"uscher factor which relates the $\Delta I=3/2$ $K\to\pi\pi$ matrix elements computed on a finite lattice to the physical (infinite-volume) decay amplitudes.

The method relies on the use of partially twisted boundary conditions, which allow the s-wave $\pi\pi$ phase shift to be computed as an almost continuous function of the centre-of-mass relative momentum and hence for its derivative to be evaluated.
We successfully demonstrate the feasibility of the technique in an exploratory computation.

$K\to(\pi\pi)_{I=2}$ decays and twisted boundary conditions · Around

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M. Luscher, Nucl. Phys. B354
Cited in the paper.
M. Luscher, Nucl. Phys. B354
Cited in the paper.

Then

P. A. Boyle, J. M. Flynn, A. Juttner, C. T. Sachrajda, and J. M. Zanotti, JHEP 05
2007
Later among the works it cites.
D. J. Antonio et al. (RBC and UKQCD), Phys. Rev. D75
2007
Later among the works it cites.
P. A. Boyle et al., JHEP 07
2008
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J. M. Flynn et al., PoS LATTICE2008
2008
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R. Frezzotti, V. Lubicz, and S. Simula, Phys. Rev. D79
2009
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N. H. Christ (2009), eprint 0912.2917
2009
Later among the works it cites.

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