Kaon semileptonic vector form factor and determination of |Vus| using staggered fermions

A. Bazavov, C. Bernard, C. M. Bouchard, C. Detar, Daping Du, A. X. El-Khadra, J. Foley, E. D. Freeland, E. Gámiz, Steven Gottlieb, U. M. Heller, Jongjeong Kim, A. S. Kronfeld, J. Laiho, L. Levkova, P. B. Mackenzie, E. T. Neil, M. B. Oktay, Si Wei Qiu, J. N. SimoneR. Sugar, William D Toussaint, R. S. Van De Water, Ran Zhou

Research output: Contribution to journalArticle

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Abstract

Using staggered fermions and partially twisted boundary conditions, we calculate the K meson semileptonic decay vector form factor at zero momentum transfer. The highly improved staggered quark formulation is used for the valence quarks, while the sea quarks are simulated with the asqtad action (MILC Collaboration Nf=2+1 configurations). For the chiral and continuum extrapolation, we use two-loop continuum χPT, supplemented by partially quenched staggered χPT at one loop. Our result is f+Kπ(0)=0. 9667±0.0023±0.0033, where the first error is statistical and the second is the sum in quadrature of the systematic uncertainties. This result is the first Nf=2+1 calculation with two lattice spacings and a controlled continuum extrapolation. It is also the most precise result to date for the vector form factor, and, although the central value is larger than previous unquenched lattice calculations, it is compatible with them within errors. Combining our value for f+Kπ(0) with the latest experimental measurements of K semileptonic decays, we obtain |Vus|=0. 2238±0.0009±0.0005, where the first error is from f+Kπ(0) and the second one is experimental. As a byproduct of our calculation, we obtain the combination of low-energy constants (C12r+C34r-(L5r) 2)(Mρ)=(3. 62±1.00)×10-6.

Original languageEnglish (US)
Article number073012
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume87
Issue number7
DOIs
StatePublished - Apr 23 2013

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form factors
fermions
quarks
continuums
extrapolation
decay
quadratures
momentum transfer
mesons
spacing
boundary conditions
valence
formulations
configurations
energy

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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Kaon semileptonic vector form factor and determination of |Vus| using staggered fermions. / Bazavov, A.; Bernard, C.; Bouchard, C. M.; Detar, C.; Du, Daping; El-Khadra, A. X.; Foley, J.; Freeland, E. D.; Gámiz, E.; Gottlieb, Steven; Heller, U. M.; Kim, Jongjeong; Kronfeld, A. S.; Laiho, J.; Levkova, L.; Mackenzie, P. B.; Neil, E. T.; Oktay, M. B.; Qiu, Si Wei; Simone, J. N.; Sugar, R.; Toussaint, William D; Van De Water, R. S.; Zhou, Ran.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 87, No. 7, 073012, 23.04.2013.

Research output: Contribution to journalArticle

Bazavov, A, Bernard, C, Bouchard, CM, Detar, C, Du, D, El-Khadra, AX, Foley, J, Freeland, ED, Gámiz, E, Gottlieb, S, Heller, UM, Kim, J, Kronfeld, AS, Laiho, J, Levkova, L, Mackenzie, PB, Neil, ET, Oktay, MB, Qiu, SW, Simone, JN, Sugar, R, Toussaint, WD, Van De Water, RS & Zhou, R 2013, 'Kaon semileptonic vector form factor and determination of |Vus| using staggered fermions', Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 87, no. 7, 073012. https://doi.org/10.1103/PhysRevD.87.073012
Bazavov, A. ; Bernard, C. ; Bouchard, C. M. ; Detar, C. ; Du, Daping ; El-Khadra, A. X. ; Foley, J. ; Freeland, E. D. ; Gámiz, E. ; Gottlieb, Steven ; Heller, U. M. ; Kim, Jongjeong ; Kronfeld, A. S. ; Laiho, J. ; Levkova, L. ; Mackenzie, P. B. ; Neil, E. T. ; Oktay, M. B. ; Qiu, Si Wei ; Simone, J. N. ; Sugar, R. ; Toussaint, William D ; Van De Water, R. S. ; Zhou, Ran. / Kaon semileptonic vector form factor and determination of |Vus| using staggered fermions. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 2013 ; Vol. 87, No. 7.
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abstract = "Using staggered fermions and partially twisted boundary conditions, we calculate the K meson semileptonic decay vector form factor at zero momentum transfer. The highly improved staggered quark formulation is used for the valence quarks, while the sea quarks are simulated with the asqtad action (MILC Collaboration Nf=2+1 configurations). For the chiral and continuum extrapolation, we use two-loop continuum χPT, supplemented by partially quenched staggered χPT at one loop. Our result is f+Kπ(0)=0. 9667±0.0023±0.0033, where the first error is statistical and the second is the sum in quadrature of the systematic uncertainties. This result is the first Nf=2+1 calculation with two lattice spacings and a controlled continuum extrapolation. It is also the most precise result to date for the vector form factor, and, although the central value is larger than previous unquenched lattice calculations, it is compatible with them within errors. Combining our value for f+Kπ(0) with the latest experimental measurements of K semileptonic decays, we obtain |Vus|=0. 2238±0.0009±0.0005, where the first error is from f+Kπ(0) and the second one is experimental. As a byproduct of our calculation, we obtain the combination of low-energy constants (C12r+C34r-(L5r) 2)(Mρ)=(3. 62±1.00)×10-6.",
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T1 - Kaon semileptonic vector form factor and determination of |Vus| using staggered fermions

AU - Bazavov, A.

AU - Bernard, C.

AU - Bouchard, C. M.

AU - Detar, C.

AU - Du, Daping

AU - El-Khadra, A. X.

AU - Foley, J.

AU - Freeland, E. D.

AU - Gámiz, E.

AU - Gottlieb, Steven

AU - Heller, U. M.

AU - Kim, Jongjeong

AU - Kronfeld, A. S.

AU - Laiho, J.

AU - Levkova, L.

AU - Mackenzie, P. B.

AU - Neil, E. T.

AU - Oktay, M. B.

AU - Qiu, Si Wei

AU - Simone, J. N.

AU - Sugar, R.

AU - Toussaint, William D

AU - Van De Water, R. S.

AU - Zhou, Ran

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N2 - Using staggered fermions and partially twisted boundary conditions, we calculate the K meson semileptonic decay vector form factor at zero momentum transfer. The highly improved staggered quark formulation is used for the valence quarks, while the sea quarks are simulated with the asqtad action (MILC Collaboration Nf=2+1 configurations). For the chiral and continuum extrapolation, we use two-loop continuum χPT, supplemented by partially quenched staggered χPT at one loop. Our result is f+Kπ(0)=0. 9667±0.0023±0.0033, where the first error is statistical and the second is the sum in quadrature of the systematic uncertainties. This result is the first Nf=2+1 calculation with two lattice spacings and a controlled continuum extrapolation. It is also the most precise result to date for the vector form factor, and, although the central value is larger than previous unquenched lattice calculations, it is compatible with them within errors. Combining our value for f+Kπ(0) with the latest experimental measurements of K semileptonic decays, we obtain |Vus|=0. 2238±0.0009±0.0005, where the first error is from f+Kπ(0) and the second one is experimental. As a byproduct of our calculation, we obtain the combination of low-energy constants (C12r+C34r-(L5r) 2)(Mρ)=(3. 62±1.00)×10-6.

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