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K to pi pi decays in a finite volume

K to pi pi decays in a finite volume
K to pi pi decays in a finite volume
We discuss finite-volume computations of two-body hadronic decays below the inelastic threshold (e.g., K ??? decays). The relation between finite-volume matrix elements and physical amplitudes, recently derived by Lellouch and Lüscher, is extended to all elastic states under the inelastic threshold. We present a detailed comparison of our approach with that of Lellouch and Lüscher and discuss the possible limitations of the method which could arise due to the presence of inelastic thresholds. We also examine a standard alternative method which can be used to extract the real part of the decay amplitude from correlators of the form 0|T [??HWK]|0. We show that in this case there are finite-volume corrections which vanish as inverse powers of the volume, which cannot be removed by a multiplicative factor.
0550-3213
467-498
Lin, C-J.D.
4a8e7a88-2f8f-45ce-b277-570c3d174457
Martinelli, G.
3949da7a-7efe-4ebd-b1f7-92f1ca150d66
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Testa, M.
09922852-3d57-47ea-a5b4-0d57aa310bbf
Lin, C-J.D.
4a8e7a88-2f8f-45ce-b277-570c3d174457
Martinelli, G.
3949da7a-7efe-4ebd-b1f7-92f1ca150d66
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Testa, M.
09922852-3d57-47ea-a5b4-0d57aa310bbf

Lin, C-J.D., Martinelli, G., Sachrajda, C.T. and Testa, M. (2001) K to pi pi decays in a finite volume. Nuclear Physics B, 619 (1-3), 467-498. (doi:10.1016/S0550-3213(01)00495-3).

Record type: Article

Abstract

We discuss finite-volume computations of two-body hadronic decays below the inelastic threshold (e.g., K ??? decays). The relation between finite-volume matrix elements and physical amplitudes, recently derived by Lellouch and Lüscher, is extended to all elastic states under the inelastic threshold. We present a detailed comparison of our approach with that of Lellouch and Lüscher and discuss the possible limitations of the method which could arise due to the presence of inelastic thresholds. We also examine a standard alternative method which can be used to extract the real part of the decay amplitude from correlators of the form 0|T [??HWK]|0. We show that in this case there are finite-volume corrections which vanish as inverse powers of the volume, which cannot be removed by a multiplicative factor.

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Published date: 2001
Organisations: Chemistry, Physics & Astronomy

Identifiers

Local EPrints ID: 14752
URI: http://eprints.soton.ac.uk/id/eprint/14752
ISSN: 0550-3213
PURE UUID: fb2cad97-7539-4d14-bfd0-cd1d59aaa9ea

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Date deposited: 25 Feb 2005
Last modified: 16 Dec 2019 19:26

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