B-meson spectroscopy in HQET at order $1/m$

B-meson spectroscopy in HQET at order $1 / m$

Fabio Bernardoni, Benoît Blossier, John Bulava, Michele Della Morte, Patrick Fritzsch, Nicolas Garron, Antoine Gérardin, Jochen Heitger, Georg von Hippel, and Hubert Simma (ALPHA Collaboration)

Phys. Rev. D 92, 054509 – Published 21 September 2015

Abstract

We present a study of the B spectrum performed in the framework of heavy quark effective theory expanded to next-to-leading order in $1 / m_{b}$ and nonperturbative in the strong coupling. Our analyses have been performed on $N_{f} = 2$ lattice gauge field ensembles corresponding to three different lattice spacings and a wide range of pion masses. We obtain the $B_{s}$ -meson mass and hyperfine splittings of the B- and $B_{s}$ -mesons that are in good agreement with the experimental values and examine the mass difference $m_{B_{s}} - m_{B}$ as a further cross-check of our previous estimate of the b-quark mass. We also report on the mass splitting between the first excited state and the ground state in the B and $B_{s}$ systems.

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Received 22 May 2015

DOI:https://doi.org/10.1103/PhysRevD.92.054509

Authors & Affiliations

Fabio Bernardoni^1,2, Benoît Blossier³, John Bulava⁴, Michele Della Morte^5,6, Patrick Fritzsch^7,8, Nicolas Garron⁹, Antoine Gérardin^3,10, Jochen Heitger¹¹, Georg von Hippel¹², and Hubert Simma¹ (ALPHA Collaboration)

¹John von Neumann Institut for Computing (NIC), DESY, Platanenallee 6, 15738 Zeuthen, Germany
²Medizinische Fakultät, Carl Gustav Carus, TU Dresden, Fetscherstraße 74, 01307 Dresden, Germany
³Laboratoire de Physique Théorique, Université Paris XI, 91405 Orsay Cedex, France
⁴School of Mathematics, Trinity College, Dublin 2, Ireland
⁵CP3-Origins and Danish IAS, University of Southern Denmark, Campusvej 55, 5230 Odense M, Denmark
⁶IFIC and CSIC, Calle Catedrático José Beltran 2, 46980 Paterna, Valencia, Spain
⁷Institut für Physik, Humboldt-Universität zu Berlin, Newtonstr. 15, 12489 Berlin, Germany
⁸Instituto de Física Teórica UAM/CSIC, Universidad Autónoma de Madrid, C/ Nicolás Cabrera 13-15, Cantoblanco E-28049 Madrid, Spain
⁹School of Computing and Mathematics, Plymouth University, PL4 8AA Plymouth, United Kingdom
¹⁰Laboratoire de Physique Corpusculaire, Université Blaise Pascal, CNRS/IN2P3 63177 Aubière Cedex, France
¹¹Institut für Theoretische Physik, Universität Münster, Wilhelm-Klemm-Str. 9, 48149 Münster, Germany
¹²Institut für Kernphysik, University of Mainz, Becherweg 45, 55099 Mainz, Germany

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Vol. 92, Iss. 5 — 1 September 2015

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Physical Review D

covering particles, fields, gravitation, and cosmology