The kaon semileptonic form factor in N f = 2 + 1 domain wall lattice QCD with physical light quark masses
- Boyle, P.School of Physics & Astronomy, University of Edinburgh, Edinburgh, EH9 3JZ, U.K.
- Christ, N.(Physics Department, Columbia University, New York, NY, 10027, U.S.A.)
- Flynn, J.(School of Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ, U.K.)
- Garron, N.(School of Computing and Mathematics and Centre for Mathematical Science, Plymouth University, Plymouth, PL4 8AA, U.K.)
- Jung, C.(Brookhaven National Laboratory, Upton, NY, 11973, U.S.A.)
- Jüttner, A.(School of Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ, U.K.)
- Mawhinney, R.(Physics Department, Columbia University, New York, NY, 10027, U.S.A.)
- Murphy, D.(Physics Department, Columbia University, New York, NY, 10027, U.S.A.)
- Sachrajda, C.(School of Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ, U.K.)
- Sanfilippo, F.(School of Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ, U.K.)
- Yin, H.(Physics Department, Columbia University, New York, NY, 10027, U.S.A.)
DOIAbstract
We present the first calculation of the kaon semileptonic form factor with sea and valence quark masses tuned to their physical values in the continuum limit of 2+1 flavour domain wall lattice QCD. We analyse a comprehensive set of simulations at the phenomenologically convenient point of zero momentum transfer in large physical volumes and for two different values of the lattice spacing. Our prediction for the form factor is f + K π (0) = 0.9685(34)(14) where the first error is statistical and the second error systematic. This result can be combined with experimental measurements of K → π decays for a determination of the CKM-matrix element for which we predict | V us | = 0 . 2233(5)(9) where the first error is from experiment and the seco...
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