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A lattice computation of the first moment of the kaon's distribution amplitude

A lattice computation of the first moment of the kaon's distribution amplitude
A lattice computation of the first moment of the kaon's distribution amplitude
We present a lattice computation of the first moment of the kaon's leading-twist distribution amplitude. The results were computed using ensembles with 2+1 dynamical flavours with the domain wall fermion action and Iwasaki gauge action from the RBC and UKQCD joint dataset. The first moment is non-zero because of SU(3)-breaking effects, and we find that we are able to measure these effects very clearly. We observe the expected chiral behaviour and finally obtain , which agrees very well with results obtained using sum-rules, but with a significantly smaller error. We discuss the systematic uncertainties in detail and explain the prospects for their further reduction. In particular, we are implementing a programme of non-perturbative renormalization to improve the precision on the normalization of the lattice operators (currently performed perturbatively) and are repeating the calculation on a large lattice (243×64 as compared to the present 163×32 lattice).
0370-2693
67-74
Boyle, P.A.
deafc6c3-3d18-4199-84f5-6f20cd03e311
Donnellan, M.A.
6bd5bae7-734a-464e-93ce-370082719477
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Juttner, A.
a90ff7c5-ae8f-4c8e-9679-b5a95b2a6247
Noaki, J.
508a0ce6-6010-4408-b4ca-d9b4497888ce
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Tweedie, R.J.
c6bfd9bb-6c20-4ce7-aac1-48f6c3cf2f08
Boyle, P.A.
deafc6c3-3d18-4199-84f5-6f20cd03e311
Donnellan, M.A.
6bd5bae7-734a-464e-93ce-370082719477
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Juttner, A.
a90ff7c5-ae8f-4c8e-9679-b5a95b2a6247
Noaki, J.
508a0ce6-6010-4408-b4ca-d9b4497888ce
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Tweedie, R.J.
c6bfd9bb-6c20-4ce7-aac1-48f6c3cf2f08

Boyle, P.A., Donnellan, M.A., Flynn, J.M., Juttner, A., Noaki, J., Sachrajda, C.T. and Tweedie, R.J. (2006) A lattice computation of the first moment of the kaon's distribution amplitude. Physics Letters B, 641 (1), 67-74. (doi:10.1016/j.physletb.2006.07.033).

Record type: Article

Abstract

We present a lattice computation of the first moment of the kaon's leading-twist distribution amplitude. The results were computed using ensembles with 2+1 dynamical flavours with the domain wall fermion action and Iwasaki gauge action from the RBC and UKQCD joint dataset. The first moment is non-zero because of SU(3)-breaking effects, and we find that we are able to measure these effects very clearly. We observe the expected chiral behaviour and finally obtain , which agrees very well with results obtained using sum-rules, but with a significantly smaller error. We discuss the systematic uncertainties in detail and explain the prospects for their further reduction. In particular, we are implementing a programme of non-perturbative renormalization to improve the precision on the normalization of the lattice operators (currently performed perturbatively) and are repeating the calculation on a large lattice (243×64 as compared to the present 163×32 lattice).

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More information

Submitted date: 20 July 2006
Published date: 26 September 2006

Identifiers

Local EPrints ID: 57116
URI: https://eprints.soton.ac.uk/id/eprint/57116
ISSN: 0370-2693
PURE UUID: f6452813-aab2-4e57-9d12-3ae0ed951f0a
ORCID for J.M. Flynn: ORCID iD orcid.org/0000-0002-6280-1677

Catalogue record

Date deposited: 14 Aug 2008
Last modified: 15 Jul 2019 18:41

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