Decay widths of B_1 and B^*_2 up to the order of O(1/m_Q) in HQET

Details Decay widths of B_1 and B^*_2 up to the order of O(1/m_Q) in HQET Decay widths of B_1 and B^*_2 up to the order of O(1/m_Q) in HQET

1998-02-03

arxiv.org/abs/hep-ph/9802224v3

Phys.Rev. D58 (1998) 074009

Physics

High Energy Physics

High Energy Physics - Phenomenology

Final version to appear in Phys. Rev. D, four references are added, typos in the references are corrected

Scientific paper

10.1103/PhysRevD.58.074009

We first improve the previous results on the masses of the doublets (0^+,1^+) and (1^+,2^+) with QCD sum rules up to the order of O(1/m_Q) in the framework of HQET and calculate the O(1/m_Q) correction to the decay constants f_{-,1/2} and f_{+,3/2}. With the mass matrix of the two 1^+ states, we obtain the mixing angle for the two states and the interpolating currents, which couple to only one of the two eigenstates up to the order of O(1/m_Q). Using these results we derive the light-cone sum rules for the amplitudes of the pionic decay of B_1 and B_2^* up to the order of O(1/m_Q) in HQET. The O(1/m_Q) correction to the decay amplitude of B_1 and B_2^* are found to be small. When applied to D_1 and D_2^* the theoretical results are in good agreement with experimental data though the theoretical uncertainty is sizeable for D system.

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