Twisted finitevolume corrections to K_{l3} decays with partiallyquenched and rootedstaggered quarks
(2017) In Journal of High Energy Physics 2017(3). Abstract
The determination of V_{us} from kaon semileptonic decays requires the value of the form factor f_{+}(q^{2} = 0) which can be calculated precisely on the lattice. We provide the oneloop 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^{2}. 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 finitevolume corrections at... (More)
The determination of V_{us} from kaon semileptonic decays requires the value of the form factor f_{+}(q^{2} = 0) which can be calculated precisely on the lattice. We provide the oneloop 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^{2}. 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 finitevolume corrections at present lattice sizes is small. This will help improve the lattice determination of f_{+}(q^{2} = 0) since the finitevolume error is the dominant error source for some calculations. The size of the finitevolume corrections may be estimated on a single lattice ensemble by comparing results for various twist choices.
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 author
 Bernard, Claude; Bijnens, Johan ^{LU} ; Gámiz, Elvira and Relefors, Johan ^{LU}
 organization
 publishing date
 20170301
 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
 11266708
 DOI
 10.1007/JHEP03(2017)120
 language
 English
 LU publication?
 yes
 id
 c8fe3b7d2b304631b0c261b1398fce04
 date added to LUP
 20170405 14:54:18
 date last changed
 20180107 11:58:14
@article{c8fe3b7d2b304631b0c261b1398fce04, 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 oneloop 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 finitevolume 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 finitevolume error is the dominant error source for some calculations. The size of the finitevolume 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 = {11266708}, 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 finitevolume corrections to K<sub>l3</sub> decays with partiallyquenched and rootedstaggered quarks}, url = {http://dx.doi.org/10.1007/JHEP03(2017)120}, volume = {2017}, year = {2017}, }