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Twisted finite-volume corrections to Kl3 decays with partially-quenched and rooted-staggered quarks

Bernard, Claude; Bijnens, Johan LU ; Gámiz, Elvira and Relefors, Johan LU (2017) In Journal of High Energy Physics 2017(3).
Abstract

The determination of |Vus| from kaon semileptonic decays requires the value of the form factor f+(q2 = 0) which can be calculated precisely on the lattice. We provide the one-loop partially quenched chiral perturbation theory expressions both with and without including the effects of staggered quarks for all form factors at finite volume and with partially twisted boundary conditions for both the vector current and scalar density matrix elements at all q2. We point out that at finite volume there are more form factors than just f+ and f for the vector current matrix element but that the Ward identity is fully satisfied. The size of the finite-volume corrections at... (More)

The determination of |Vus| from kaon semileptonic decays requires the value of the form factor f+(q2 = 0) which can be calculated precisely on the lattice. We provide the one-loop partially quenched chiral perturbation theory expressions both with and without including the effects of staggered quarks for all form factors at finite volume and with partially twisted boundary conditions for both the vector current and scalar density matrix elements at all q2. We point out that at finite volume there are more form factors than just f+ and f for the vector current matrix element but that the Ward identity is fully satisfied. The size of the finite-volume corrections at present lattice sizes is small. This will help improve the lattice determination of f+(q2 = 0) since the finite-volume error is the dominant error source for some calculations. The size of the finite-volume corrections may be estimated on a single lattice ensemble by comparing results for various twist choices.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Chiral Lagrangians, Kaon Physics, Lattice QCD, Quark Masses and SM Parameters
in
Journal of High Energy Physics
volume
2017
issue
3
publisher
Springer
external identifiers
  • scopus:85016153195
  • wos:000397706600002
ISSN
1126-6708
DOI
10.1007/JHEP03(2017)120
language
English
LU publication?
yes
id
c8fe3b7d-2b30-4631-b0c2-61b1398fce04
date added to LUP
2017-04-05 14:54:18
date last changed
2018-01-07 11:58:14
@article{c8fe3b7d-2b30-4631-b0c2-61b1398fce04,
  abstract     = {<p>The determination of |V<sub>us</sub>| from kaon semileptonic decays requires the value of the form factor f<sub>+</sub>(q<sup>2</sup> = 0) which can be calculated precisely on the lattice. We provide the one-loop partially quenched chiral perturbation theory expressions both with and without including the effects of staggered quarks for all form factors at finite volume and with partially twisted boundary conditions for both the vector current and scalar density matrix elements at all q<sup>2</sup>. We point out that at finite volume there are more form factors than just f<sub>+</sub> and f<sub>−</sub> for the vector current matrix element but that the Ward identity is fully satisfied. The size of the finite-volume corrections at present lattice sizes is small. This will help improve the lattice determination of f<sub>+</sub>(q<sup>2</sup> = 0) since the finite-volume error is the dominant error source for some calculations. The size of the finite-volume corrections may be estimated on a single lattice ensemble by comparing results for various twist choices.</p>},
  articleno    = {120},
  author       = {Bernard, Claude and Bijnens, Johan and Gámiz, Elvira and Relefors, Johan},
  issn         = {1126-6708},
  keyword      = {Chiral Lagrangians,Kaon Physics,Lattice QCD,Quark Masses and SM Parameters},
  language     = {eng},
  month        = {03},
  number       = {3},
  publisher    = {Springer},
  series       = {Journal of High Energy Physics},
  title        = {Twisted finite-volume corrections to K<sub>l3</sub> decays with partially-quenched and rooted-staggered quarks},
  url          = {http://dx.doi.org/10.1007/JHEP03(2017)120},
  volume       = {2017},
  year         = {2017},
}