Extraction of heavy-quark-expansion parameters from unquenched lattice data on pseudoscalar and vector heavy-light meson masses

Extraction of heavy-quark-expansion parameters from unquenched lattice data on pseudoscalar and... We present a precise lattice computation of pseudoscalar and vector heavy-light meson masses for heavy-quark masses ranging from the physical charm mass up to ≃4 times the physical b-quark mass. We employ the gauge configurations generated by the European Twisted Mass Collaboration (ETMC) with Nf=2+1+1 dynamical quarks at three values of the lattice spacing (a≃0.062,0.082,0.089  fm) with pion masses in the range Mπ≃210–450  MeV. The heavy-quark mass is simulated directly on the lattice up to ≃3 times the physical charm mass. The interpolation to the physical b-quark mass is performed using the ETMC ratio method, based on ratios of the meson masses computed at nearby heavy-quark masses, and adopting the kinetic mass scheme. The extrapolation to the physical pion mass and to the continuum limit yields mbkin(1  GeV)=4.61(20)  GeV, which corresponds to m¯b(m¯b)=4.26(18)  GeV in the MS¯ scheme. The lattice data are analyzed in terms of the heavy-quark expansion (HQE) and the matrix elements of dimension-four and dimension-five operators are extracted with a good precision, namely, Λ¯=0.552(26)  GeV, μπ2=0.321(32)  GeV2, and μG2(mb)=0.253(25)  GeV2. The data also allow for a rough estimate of the dimension-six operator matrix elements. As the HQE parameters play a crucial role in the inclusive determination of the Cabibbo-Kobayashi-Maskawa matrix elements Vub and Vcb, their precise determination on the lattice may eventually validate and improve the analyses based on fits to the semileptonic moments. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Extraction of heavy-quark-expansion parameters from unquenched lattice data on pseudoscalar and vector heavy-light meson masses

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Extraction of heavy-quark-expansion parameters from unquenched lattice data on pseudoscalar and vector heavy-light meson masses

Abstract

We present a precise lattice computation of pseudoscalar and vector heavy-light meson masses for heavy-quark masses ranging from the physical charm mass up to ≃4 times the physical b-quark mass. We employ the gauge configurations generated by the European Twisted Mass Collaboration (ETMC) with Nf=2+1+1 dynamical quarks at three values of the lattice spacing (a≃0.062,0.082,0.089  fm) with pion masses in the range Mπ≃210–450  MeV. The heavy-quark mass is simulated directly on the lattice up to ≃3 times the physical charm mass. The interpolation to the physical b-quark mass is performed using the ETMC ratio method, based on ratios of the meson masses computed at nearby heavy-quark masses, and adopting the kinetic mass scheme. The extrapolation to the physical pion mass and to the continuum limit yields mbkin(1  GeV)=4.61(20)  GeV, which corresponds to m¯b(m¯b)=4.26(18)  GeV in the MS¯ scheme. The lattice data are analyzed in terms of the heavy-quark expansion (HQE) and the matrix elements of dimension-four and dimension-five operators are extracted with a good precision, namely, Λ¯=0.552(26)  GeV, μπ2=0.321(32)  GeV2, and μG2(mb)=0.253(25)  GeV2. The data also allow for a rough estimate of the dimension-six operator matrix elements. As the HQE parameters play a crucial role in the inclusive determination of the Cabibbo-Kobayashi-Maskawa matrix elements Vub and Vcb, their precise determination on the lattice may eventually validate and improve the analyses based on fits to the semileptonic moments.
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Publisher
American Physical Society (APS)
Copyright
Copyright © © 2017 American Physical Society
ISSN
1550-7998
eISSN
1550-2368
D.O.I.
10.1103/PhysRevD.96.014511
Publisher site
See Article on Publisher Site

Abstract

We present a precise lattice computation of pseudoscalar and vector heavy-light meson masses for heavy-quark masses ranging from the physical charm mass up to ≃4 times the physical b-quark mass. We employ the gauge configurations generated by the European Twisted Mass Collaboration (ETMC) with Nf=2+1+1 dynamical quarks at three values of the lattice spacing (a≃0.062,0.082,0.089  fm) with pion masses in the range Mπ≃210–450  MeV. The heavy-quark mass is simulated directly on the lattice up to ≃3 times the physical charm mass. The interpolation to the physical b-quark mass is performed using the ETMC ratio method, based on ratios of the meson masses computed at nearby heavy-quark masses, and adopting the kinetic mass scheme. The extrapolation to the physical pion mass and to the continuum limit yields mbkin(1  GeV)=4.61(20)  GeV, which corresponds to m¯b(m¯b)=4.26(18)  GeV in the MS¯ scheme. The lattice data are analyzed in terms of the heavy-quark expansion (HQE) and the matrix elements of dimension-four and dimension-five operators are extracted with a good precision, namely, Λ¯=0.552(26)  GeV, μπ2=0.321(32)  GeV2, and μG2(mb)=0.253(25)  GeV2. The data also allow for a rough estimate of the dimension-six operator matrix elements. As the HQE parameters play a crucial role in the inclusive determination of the Cabibbo-Kobayashi-Maskawa matrix elements Vub and Vcb, their precise determination on the lattice may eventually validate and improve the analyses based on fits to the semileptonic moments.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jul 1, 2017

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