The kaon semileptonic form factor with near physical domain wall quarks

Date

2013

Authors

Boyle, P.
Flynn, J.
Garron, N.
Juttner, A.
Sachrajda, C.
Sivalingam, K.
Zanotti, J.

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Journal article

Citation

The Journal of High Energy Physics, 2013; 2013(8):132-0-132-15

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RBC/UKQCD collaboration, P.A. Boyle, J.M. Flynn, N. Garron, A. Jüttner, C.T. Sachrajda, K. Sivalingam, and J.M. Zanotti

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Abstract

We present a new calculation of the K → π semileptonic form factor at zero momentum transfer in domain wall lattice QCD with N <inf>f</inf> = 2+1 dynamical quark flavours. By using partially twisted boundary conditions we simulate directly at the phenomenologically relevant point of zero momentum transfer. We perform a joint analysis for all available ensembles which include three different lattice spacings (a = 0.09 - 0.14 fm), large physical volumes (m <inf>π</inf> L > 3.9) and pion masses as low as 171 MeV. The comprehensive set of simulation points allows for a detailed study of systematic effects leading to the prediction f<inf>+</inf><sup>Kπ</sup>(0)=0.9670(20) (<inf>-46</inf><sup>+18</sup>), where the first error is statistical and the second error systematic. The result allows us to extract the CKM-matrix element | V<inf>u</inf>|=0.2237(<inf>-8</inf><sup>+13</sup>) and confirm first-row CKM-unitarity in the Standard Model at the sub per mille level. © 2013 SISSA, Trieste, Italy.

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© SISSA 2013

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