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Kaon weak matrix elements with Wilson fermions

Kaon weak matrix elements with Wilson fermions
Kaon weak matrix elements with Wilson fermions
We present results of several numerical studies with Wilson fermions relevant for kaon physics. We compute the Bk parameter by using two different methods and extrapolate to the continuum limit. Our preliminary result is BKMS (2GeV) = 0.66 (7).ΔI = 3/2 K → ππ matrix elements (MEs) are obtained by using the next-to-leading order (NLO) expressions derived in chiral perturbation theory (ChPT) in which the low energy constants (LECs) are determined by the lattice results computed at unphysical kinematics. From the simulation at β = 6.0 our (preliminary) results read: ⟨gpπ O7¦MS¯ (2GeV)¦ K ⟩   I=2=0.14(1)(1) GeV3 and left angle bracketgp? O8¦MS¯(2GeV)¦Kright-pointing angle bracketI=2=0.69(6)(6)GeV3.
0920-5632
359-361
Becirevic, D.
7154c36a-1f48-48c8-ac9e-7f462908194c
Boucaud, Ph.
69214333-d5b8-4ca8-98e3-c9021f4c59ac
Gime´nez, V.
23b6eca6-3356-4d0c-a113-822695e17832
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
Sachrajda, C.T.
bb6abbe6-e1a9-44c7-b069-4628fcd3136c
SPQCDR Collaboration, None
faf42691-ae25-410b-bc13-119d842e7c8e
Becirevic, D.
7154c36a-1f48-48c8-ac9e-7f462908194c
Boucaud, Ph.
69214333-d5b8-4ca8-98e3-c9021f4c59ac
Gime´nez, V.
23b6eca6-3356-4d0c-a113-822695e17832
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
Sachrajda, C.T.
bb6abbe6-e1a9-44c7-b069-4628fcd3136c
SPQCDR Collaboration, None
faf42691-ae25-410b-bc13-119d842e7c8e

Becirevic, D., Boucaud, Ph., Gime´nez, V., Lin, C.-J.D., Lubicz, V., Martinelli, G., Papinutto, M., Sachrajda, C.T. and SPQCDR Collaboration, None (2003) Kaon weak matrix elements with Wilson fermions. Nuclear Physics B - Proceedings Supplements, 119, 359-361. (doi:10.1016/S0920-5632(03)01551-2).

Record type: Article

Abstract

We present results of several numerical studies with Wilson fermions relevant for kaon physics. We compute the Bk parameter by using two different methods and extrapolate to the continuum limit. Our preliminary result is BKMS (2GeV) = 0.66 (7).ΔI = 3/2 K → ππ matrix elements (MEs) are obtained by using the next-to-leading order (NLO) expressions derived in chiral perturbation theory (ChPT) in which the low energy constants (LECs) are determined by the lattice results computed at unphysical kinematics. From the simulation at β = 6.0 our (preliminary) results read: ⟨gpπ O7¦MS¯ (2GeV)¦ K ⟩   I=2=0.14(1)(1) GeV3 and left angle bracketgp? O8¦MS¯(2GeV)¦Kright-pointing angle bracketI=2=0.69(6)(6)GeV3.

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Published date: May 2003

Identifiers

Local EPrints ID: 57069
URI: https://eprints.soton.ac.uk/id/eprint/57069
ISSN: 0920-5632
PURE UUID: 4aee4b0e-3fa1-4c02-b5f5-dea5f556e95e

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

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Contributors

Author: D. Becirevic
Author: Ph. Boucaud
Author: V. Gime´nez
Author: C.-J.D. Lin
Author: V. Lubicz
Author: G. Martinelli
Author: M. Papinutto
Author: C.T. Sachrajda
Author: None SPQCDR Collaboration

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