A High-Statistics Lattice Calculation of $\lambda_1$ and $\lambda_2$ in the $B$ meson

We present a high-statistics lattice calculation of the kinetic energy $-\lambda_1/2 m_b$ of the heavy quark inside the $B$-meson and of the chromo-magnetic term $\lambda_2$, related to the $B^*$--$B$ mass splitting, performed in the HQET. Our results have been obtained from a numerical simulation b...

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Detalles Bibliográficos
Autores principales: Gimenez, V., Martinelli, G., Sachrajda, Christopher T.
Lenguaje:eng
Publicado: 1996
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(96)00696-7
http://cds.cern.ch/record/307539
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author Gimenez, V.
Martinelli, G.
Sachrajda, Christopher T.
author_facet Gimenez, V.
Martinelli, G.
Sachrajda, Christopher T.
author_sort Gimenez, V.
collection CERN
description We present a high-statistics lattice calculation of the kinetic energy $-\lambda_1/2 m_b$ of the heavy quark inside the $B$-meson and of the chromo-magnetic term $\lambda_2$, related to the $B^*$--$B$ mass splitting, performed in the HQET. Our results have been obtained from a numerical simulation based on 600 gauge field configurations generated at $\beta=6.0$, on a lattice volume $24^3 \times 40$ and using, for the meson correlators, the results obtained with the SW-Clover $O(a)$ improved lattice action for the light quarks. For the kinetic energy we found $-\lambda_1=\langle B \vert \bar h (i\vec{D})^{2} h \vert B \rangle /(2 M_B )=-(0.09 \pm 0.14)$~GeV$^2$, which is interesting for phenomenological applications. We also find $\lambda_2= 0.07 0.060 $ GeV$^2$, which is about one half of the experimental value. The origin of the discrepancy with the experimental number needs to be clarified.
id cern-307539
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1996
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spelling cern-3075392023-03-14T19:29:11Zdoi:10.1016/S0550-3213(96)00696-7http://cds.cern.ch/record/307539engGimenez, V.Martinelli, G.Sachrajda, Christopher T.A High-Statistics Lattice Calculation of $\lambda_1$ and $\lambda_2$ in the $B$ mesonParticle Physics - LatticeWe present a high-statistics lattice calculation of the kinetic energy $-\lambda_1/2 m_b$ of the heavy quark inside the $B$-meson and of the chromo-magnetic term $\lambda_2$, related to the $B^*$--$B$ mass splitting, performed in the HQET. Our results have been obtained from a numerical simulation based on 600 gauge field configurations generated at $\beta=6.0$, on a lattice volume $24^3 \times 40$ and using, for the meson correlators, the results obtained with the SW-Clover $O(a)$ improved lattice action for the light quarks. For the kinetic energy we found $-\lambda_1=\langle B \vert \bar h (i\vec{D})^{2} h \vert B \rangle /(2 M_B )=-(0.09 \pm 0.14)$~GeV$^2$, which is interesting for phenomenological applications. We also find $\lambda_2= 0.07 0.060 $ GeV$^2$, which is about one half of the experimental value. The origin of the discrepancy with the experimental number needs to be clarified.We present a high-statistics lattice calculation of the kinetic energy $-\lambda_1/2 m_b$ of the heavy quark inside the $B$-meson and of the chromo-magnetic term $\lambda_2$, related to the $B~*$--$B$ mass splitting, performed in the HQET. Our results have been obtained from a numerical simulation based on 600 gauge field configurations generated at $\beta=6.0$, on a lattice volume $24~3 \times 40$ and using, for the meson correlators, the results obtained with the SW-Clover $O(a)$ improved lattice action for the light quarks. For the kinetic energy we found $-\lambda_1=\langle B \vert \bar h (i\vec{D})~{2} h \vert B \rangle /(2 M_B )=-(0.09 \pm 0.14)$GeV$~2$, which is interesting for phenomenological applications. We also find $\lambda_2= 0.07 \pm 0.01$ GeV$~2$, corresponding to $M~2_{B~*}-M~2_B= 4 \lambda_2= 0.280 \pm 0.060 $ GeV$~2$, which is about one half of the experimental value. The origin of the discrepancy with the experimental number needs to be clarified.We present a high-statistics lattice calculation of the kinetic energy $-\lambda_1/2 m_b$ of the heavy quark inside the $B$-meson and of the chromo-magnetic term $\lambda_2$, related to the $B~*$--$B$ mass splitting, performed in the HQET. Our results have been obtained from a numerical simulation based on 600 gauge field configurations generated at $\beta=6.0$, on a lattice volume $24~3 \times 40$ and using, for the meson correlators, the results obtained with the SW-Clover $O(a)$ improved lattice action for the light quarks. For the kinetic energy we found $-\lambda_1=\langle B \vert \bar h (i\vec{D})~{2} h \vert B \rangle /(2 M_B )=-(0.09 \pm 0.14)$GeV$~2$, which is interesting for phenomenological applications. We also find $\lambda_2= 0.07 \pm 0.01$ GeV$~2$, corresponding to $M~2_{B~*}-M~2_B= 4 \lambda_2= 0.280 \pm 0.060 $ GeV$~2$, which is about one half of the experimental value. The origin of the discrepancy with the experimental number needs to be clarified.We present a high-statistics lattice calculation of the kinetic energy $-\lambda_1/2 m_b$ of the heavy quark inside the $B$-meson and of the chromo-magnetic term $\lambda_2$, related to the $B~*$--$B$ mass splitting, performed in the HQET. Our results have been obtained from a numerical simulation based on 600 gauge field configurations generated at $\beta=6.0$, on a lattice volume $24~3 \times 40$ and using, for the meson correlators, the results obtained with the SW-Clover $O(a)$ improved lattice action for the light quarks. For the kinetic energy we found $-\lambda_1=\langle B \vert \bar h (i\vec{D})~{2} h \vert B \rangle /(2 M_B )=-(0.09 \pm 0.14)$GeV$~2$, which is interesting for phenomenological applications. We also find $\lambda_2= 0.07 \pm 0.01$ GeV$~2$, corresponding to $M~2_{B~*}-M~2_B= 4 \lambda_2= 0.280 \pm 0.060 $ GeV$~2$, which is about one half of the experimental value. The origin of the discrepancy with the experimental number needs to be clarified.We present a high-statistics lattice calculation of the kinetic energy − λ 1 /2 m b of the heavy quark inside the B -meson and of the chromo-magnetic term A2, related to the B ∗ −B mass splitting, performed in the HQET Our results have been obtained from a numerical simulation based on 600 gauge field configurations generated at β = 6.0, on a lattice volume 24 3 × 40 and using, for the meson correlators, the results obtained with the SW-Clover O ( a ) improved lattice action for the light quarks. For the kinetic energy we found −λ 1 = 〈B| h ̄ (iD) 2 h|B〉/(2M B ) = −(0.09 ± 0.14) GeV 2 , which is interesting for phenomenological applications. We also found λ 2 = 0.07 ± 0.01 GeV 2 , corresponding to M B∗ 2 − M B 2 = 4λ 2 = 0.280 ± 0.060 GeV 2 , which is about one half of the experimental value. The origin of the discrepancy with the experimental number needs to be clarified.hep-lat/9607055CERN-TH-96-175ROME-1145-1996SHEP-96-15FTUV-96-22IFIC-96-24ROMA-1-1145CERN-TH-96-175SHEP-96-15FTUV-96-22IFIC-96-24oai:cds.cern.ch:3075391996-07-24
spellingShingle Particle Physics - Lattice
Gimenez, V.
Martinelli, G.
Sachrajda, Christopher T.
A High-Statistics Lattice Calculation of $\lambda_1$ and $\lambda_2$ in the $B$ meson
title A High-Statistics Lattice Calculation of $\lambda_1$ and $\lambda_2$ in the $B$ meson
title_full A High-Statistics Lattice Calculation of $\lambda_1$ and $\lambda_2$ in the $B$ meson
title_fullStr A High-Statistics Lattice Calculation of $\lambda_1$ and $\lambda_2$ in the $B$ meson
title_full_unstemmed A High-Statistics Lattice Calculation of $\lambda_1$ and $\lambda_2$ in the $B$ meson
title_short A High-Statistics Lattice Calculation of $\lambda_1$ and $\lambda_2$ in the $B$ meson
title_sort high-statistics lattice calculation of $\lambda_1$ and $\lambda_2$ in the $b$ meson
topic Particle Physics - Lattice
url https://dx.doi.org/10.1016/S0550-3213(96)00696-7
http://cds.cern.ch/record/307539
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