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

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2014-04-10

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Amer Physical Soc

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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(u,d)(2) << eB << m(b,B)(2). We found that m(B) decreases with the magnetic field in both of these limits.

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Physical Review D. College Pk: Amer Physical Soc, v. 89, n. 7, 13 p., 2014.

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