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K→π form factors with reduced model dependence

K→π form factors with reduced model dependence
K→π form factors with reduced model dependence
Using partially twisted boundary conditions we compute the K → π semi-leptonic form factors in the range of momentum transfers 0 <~ q2q2max = (mK - mπ)2 in lattice QCD with Nf =2+1 dynamical flavours. In this way we are able to determine f+Kπ(0) without any interpolation in the momentum transfer, thus eliminating one source of systematic error. This study confirms our earlier phenomenological ansatz for the strange quark mass dependence of the scalar form factor. We identify and estimate potentially significant NNLO effects in the chiral expansion that guides the extrapolation of the data to the physical point. Our main result is f+Kπ(0) = 0.9599(34)(+31-47)(14), where the first error is statistical, the second error is due to the uncertainties in the chiral extrapolation of the lattice data and the last error is an estimate of potential discretisation effects.
1434-6044
159-167
Boyle, P.A.
deafc6c3-3d18-4199-84f5-6f20cd03e311
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Juttner, A.
a90ff7c5-ae8f-4c8e-9679-b5a95b2a6247
Kelly, C.
c4345b06-5900-4597-9dbc-623dc13e6f8e
Maynard, C.
9501fd2d-e787-4902-b0f7-9c2e1bf5c95a
de Lima, H. Pedroso
c88e9d85-5304-4876-9007-d0d62f47ee06
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Zanotti, J.M.
3683c637-7418-47b0-bb9d-2b704d28bd2d
RBC-UKQCD Collaboration
Boyle, P.A.
deafc6c3-3d18-4199-84f5-6f20cd03e311
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Juttner, A.
a90ff7c5-ae8f-4c8e-9679-b5a95b2a6247
Kelly, C.
c4345b06-5900-4597-9dbc-623dc13e6f8e
Maynard, C.
9501fd2d-e787-4902-b0f7-9c2e1bf5c95a
de Lima, H. Pedroso
c88e9d85-5304-4876-9007-d0d62f47ee06
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Zanotti, J.M.
3683c637-7418-47b0-bb9d-2b704d28bd2d

Boyle, P.A., Flynn, J.M., Juttner, A., Kelly, C., Maynard, C., de Lima, H. Pedroso, Sachrajda, C.T. and Zanotti, J.M. , RBC-UKQCD Collaboration (2010) K→π form factors with reduced model dependence. The European Physical Journal C, 69 (1-2), 159-167. (doi:10.1140/epjc/s10052-010-1405-4).

Record type: Article

Abstract

Using partially twisted boundary conditions we compute the K → π semi-leptonic form factors in the range of momentum transfers 0 <~ q2q2max = (mK - mπ)2 in lattice QCD with Nf =2+1 dynamical flavours. In this way we are able to determine f+Kπ(0) without any interpolation in the momentum transfer, thus eliminating one source of systematic error. This study confirms our earlier phenomenological ansatz for the strange quark mass dependence of the scalar form factor. We identify and estimate potentially significant NNLO effects in the chiral expansion that guides the extrapolation of the data to the physical point. Our main result is f+Kπ(0) = 0.9599(34)(+31-47)(14), where the first error is statistical, the second error is due to the uncertainties in the chiral extrapolation of the lattice data and the last error is an estimate of potential discretisation effects.

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More information

Submitted date: 6 April 2010
Published date: 10 August 2010

Identifiers

Local EPrints ID: 143997
URI: https://eprints.soton.ac.uk/id/eprint/143997
ISSN: 1434-6044
PURE UUID: 7016b3a1-0a87-4c90-b881-5b1f1ae0247f
ORCID for J.M. Flynn: ORCID iD orcid.org/0000-0002-6280-1677

Catalogue record

Date deposited: 14 Apr 2010 12:41
Last modified: 20 Jul 2019 01:21

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