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Extraction of K → ππ matrix elements with Wilson fermions

Extraction of K → ππ matrix elements with Wilson fermions
Extraction of K → ππ matrix elements with Wilson fermions
We present the status of a lattice calculation for the K → ππ matrix elements of the ΔS = 1 effective weak Hamiltonian, directly with two pion in the final state. We study the energy shift of two pion in a finite volume both in the I = 0 and I = 2 channels. We explain a method to avoid the Goldstone pole contamination in the computation of renormalization constants for ΔI = 32 operators. Finally we show some preliminary results for the matrix elements of ΔI = 12 operators. Our quenched simulation is done at β = 6.0, on a 243 × 64 lattice.
0920-5632
323-325
Boucaud, P.
977194e8-8ad2-4607-bea0-456dcc30c39e
Giménez, V.
e5d3ad14-ff18-4162-854f-e339b7075234
Lin, C.-J.D.
721a3828-3d49-4ede-9932-4effda70a540
Lubicz, V.
8161bebb-280a-42e1-bba7-f445c9e2754e
Martinelli, G.
3949da7a-7efe-4ebd-b1f7-92f1ca150d66
Papinutto, M.
f8d56f31-6710-4584-87ce-c5761abb6234
Rapuano, F.
7d7282fb-0828-4c8d-9212-d47ce47b0b8d
Sachrajda, C.T.
bb6abbe6-e1a9-44c7-b069-4628fcd3136c
SPQCDR Collaboration, None
faf42691-ae25-410b-bc13-119d842e7c8e
Boucaud, P.
977194e8-8ad2-4607-bea0-456dcc30c39e
Giménez, V.
e5d3ad14-ff18-4162-854f-e339b7075234
Lin, C.-J.D.
721a3828-3d49-4ede-9932-4effda70a540
Lubicz, V.
8161bebb-280a-42e1-bba7-f445c9e2754e
Martinelli, G.
3949da7a-7efe-4ebd-b1f7-92f1ca150d66
Papinutto, M.
f8d56f31-6710-4584-87ce-c5761abb6234
Rapuano, F.
7d7282fb-0828-4c8d-9212-d47ce47b0b8d
Sachrajda, C.T.
bb6abbe6-e1a9-44c7-b069-4628fcd3136c
SPQCDR Collaboration, None
faf42691-ae25-410b-bc13-119d842e7c8e

Boucaud, P., Giménez, V., Lin, C.-J.D., Lubicz, V., Martinelli, G., Papinutto, M., Rapuano, F., Sachrajda, C.T. and SPQCDR Collaboration, None (2002) Extraction of K → ππ matrix elements with Wilson fermions. Nuclear Physics B - Proceedings Supplements, 106-107, 323-325. (doi:10.1016/S0920-5632(01)01702-9).

Record type: Article

Abstract

We present the status of a lattice calculation for the K → ππ matrix elements of the ΔS = 1 effective weak Hamiltonian, directly with two pion in the final state. We study the energy shift of two pion in a finite volume both in the I = 0 and I = 2 channels. We explain a method to avoid the Goldstone pole contamination in the computation of renormalization constants for ΔI = 32 operators. Finally we show some preliminary results for the matrix elements of ΔI = 12 operators. Our quenched simulation is done at β = 6.0, on a 243 × 64 lattice.

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Published date: March 2002

Identifiers

Local EPrints ID: 57102
URI: http://eprints.soton.ac.uk/id/eprint/57102
ISSN: 0920-5632
PURE UUID: 857b25e0-dda4-4a0d-8f84-ddb295c85f70

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Date deposited: 14 Aug 2008
Last modified: 13 Mar 2019 20:34

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Contributors

Author: P. Boucaud
Author: V. Giménez
Author: C.-J.D. Lin
Author: V. Lubicz
Author: G. Martinelli
Author: M. Papinutto
Author: F. Rapuano
Author: C.T. Sachrajda
Author: None SPQCDR Collaboration

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