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The kaon semileptonic form factor with near physical domain wall quarks

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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 f = 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 π 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 \( f_{+}^{{K\pi }}(0)=0.9670\left( {20} \right)\left( {_{-46}^{+18 }} \right) \), where the first error is statistical and the second error systematic. The result allows us to extract the CKM-matrix element \( \left| {{V_{us }}} \right|=0.2237\left( {_{-8}^{+13 }} \right) \) and confirm first-row CKM-unitarity in the Standard Model at the sub per mille level.

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Authors and Affiliations

  1. School of Physics & Astronomy, University of Edinburgh, Edinburgh, EH9 3JZ, U.K.

    P. A. Boyle & K. Sivalingam

  2. School of Physics & Astronomy, University of Southampton, Southhampton, SO17 1BJ, U.K.

    J. M. Flynn, A. Jüttner & C. T. Sachrajda

  3. School of Mathematics, Trinity College, Dublin 2, Ireland

    N. Garron

  4. CSSM, School of Chemistry and Physics, University of Adelaide, Adelaide, SA, 5005, Australia

    J. M. Zanotti

Authors
  1. P. A. Boyle
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  2. J. M. Flynn
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  3. N. Garron
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  4. A. Jüttner
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  5. C. T. Sachrajda
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  6. K. Sivalingam
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  7. J. M. Zanotti
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RBC/UKQCD collaboration

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Correspondence to A. Jüttner.

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ArXiv ePrint: 1305.7217

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RBC/UKQCD collaboration., Boyle, P.A., Flynn, J.M. et al. The kaon semileptonic form factor with near physical domain wall quarks. J. High Energ. Phys. 2013, 132 (2013). https://doi.org/10.1007/JHEP08(2013)132

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  • DOI: https://doi.org/10.1007/JHEP08(2013)132

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