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arXiv · 1307.1797

Modification of the B Meson Mass in a Magnetic Field from QCD Sum Rules

Camila S. Machado·Stefano I. Finazzo·Ricardo D. Matheus·Jorge Noronha
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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, m_B, 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 << m^2 (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., m^2_{u,d} << eB << m^2_{b,B}. We found that m_B decreases with the magnetic field in the both of these limits.

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Camila S. Machado, Stefano I. Finazzo, Ricardo D. Matheus, Jorge Noronha. 2013-07-06. Modification of the B Meson Mass in a Magnetic Field from QCD Sum Rules. https://doi.org/10.1103/physrevd.89.074027

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