Semileptonic kaon decay in staggered chiral perturbation theory
(2014) In Physical Review D (Particles, Fields, Gravitation and Cosmology) 89(5). Abstract
 The determination of vertical bar Vus vertical bar 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 staggered chiral perturbation theory expressions that may be employed to analyze staggered simulations of f(+)(q(2)) with three light flavors. We consider both the case of a mixed action, where the valence and sea sectors have different staggered actions, and the standard case, where these actions are the same. The momentum transfer q(2) of the form factor is allowed to have an arbitrary value. We give results for the generic situation where the u, d, and s quark masses are all different, Nf = 1 + 1 + 1, and for... (More)
 The determination of vertical bar Vus vertical bar 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 staggered chiral perturbation theory expressions that may be employed to analyze staggered simulations of f(+)(q(2)) with three light flavors. We consider both the case of a mixed action, where the valence and sea sectors have different staggered actions, and the standard case, where these actions are the same. The momentum transfer q(2) of the form factor is allowed to have an arbitrary value. We give results for the generic situation where the u, d, and s quark masses are all different, Nf = 1 + 1 + 1, and for the isospin limit, Nf = 2 + 1. The expression we obtain for f(+)(q(2)) is independent of the mass of the ( valence) spectator quark. In the limit of vanishing lattice spacing, our results reduce to the oneloop continuum partially quenched expression for f(+)(q(2)), which has not previously been reported in the literature for the Nf = 1 + 1 + 1 case. Our expressions have already been used in staggered lattice analyses of f(+)(0) and should prove useful in future calculations as well. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/4439376
 author
 Bernard, C. ; Bijnens, Johan ^{LU} and Gamiz, E.
 organization
 publishing date
 2014
 type
 Contribution to journal
 publication status
 published
 subject
 in
 Physical Review D (Particles, Fields, Gravitation and Cosmology)
 volume
 89
 issue
 5
 article number
 054510
 publisher
 American Physical Society
 external identifiers

 wos:000334304300002
 scopus:84896928832
 ISSN
 15502368
 DOI
 10.1103/PhysRevD.89.054510
 language
 English
 LU publication?
 yes
 id
 388009fafff04d08be3e8a7e4456a7c7 (old id 4439376)
 date added to LUP
 20160401 10:50:41
 date last changed
 20200311 02:02:39
@article{388009fafff04d08be3e8a7e4456a7c7, abstract = {The determination of vertical bar Vus vertical bar 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 staggered chiral perturbation theory expressions that may be employed to analyze staggered simulations of f(+)(q(2)) with three light flavors. We consider both the case of a mixed action, where the valence and sea sectors have different staggered actions, and the standard case, where these actions are the same. The momentum transfer q(2) of the form factor is allowed to have an arbitrary value. We give results for the generic situation where the u, d, and s quark masses are all different, Nf = 1 + 1 + 1, and for the isospin limit, Nf = 2 + 1. The expression we obtain for f(+)(q(2)) is independent of the mass of the ( valence) spectator quark. In the limit of vanishing lattice spacing, our results reduce to the oneloop continuum partially quenched expression for f(+)(q(2)), which has not previously been reported in the literature for the Nf = 1 + 1 + 1 case. Our expressions have already been used in staggered lattice analyses of f(+)(0) and should prove useful in future calculations as well.}, author = {Bernard, C. and Bijnens, Johan and Gamiz, E.}, issn = {15502368}, language = {eng}, number = {5}, publisher = {American Physical Society}, series = {Physical Review D (Particles, Fields, Gravitation and Cosmology)}, title = {Semileptonic kaon decay in staggered chiral perturbation theory}, url = {http://dx.doi.org/10.1103/PhysRevD.89.054510}, doi = {10.1103/PhysRevD.89.054510}, volume = {89}, year = {2014}, }