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Modification of the B meson mass in a magnetic field from QCD sum rules

C. S. Machado* and R. D. Matheus†

S. I. Finazzo‡ and J. Noronha§

  • Instituto de Física Teórica, Universidade Estadual Paulista, R. Dr. Bento Teobaldo Ferraz, 271 - Bloco II, Barra-Funda, São Paulo CEP 01140-070, Brazil

  • Instituto de Física, Universidade de São Paulo, R. do Matão Travessa R Nr.187, Cidade Universitária, São Paulo CEP 05508-090, Brazil

  • *camilasm@ift.unesp.br
  • †matheus@ift.unesp.br
  • ‡stefanofinazzo@gmail.com
  • §noronha@if.usp.br
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Phys. Rev. D 89, 074027 – Published 10 April, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.074027

Abstract

In this paper, we extend the well-known QCD sum rules used in the calculation of the mass of heavy mesons to estimate the modification of the charged B-meson mass, mB, in the presence of an external Abelian magnetic field, eB. Two simplifying limits were considered: the weak field limit, in which the external field satisfies eB≪m2 (with m being any of the masses involved); and the strong field limit, in which the field strength is small in comparison to the bottom quark mass (or the B-meson mass) squared, but it is large compared to the mass of the light quarks, i.e., mu,d2≪eB≪mb,B2. We found that mB decreases with the magnetic field in both of these limits.

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Phys. Rev. D 89, 074027– Published 10 April, 2014
  • Received 18 July 2013

© 2014 American Physical Society

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