The tensor force in Heavy Quark Effective Theory and the semileptonic B decay to excited vector mesons $D(3/2^-,1^-)$

F. Jugeau (1) , A. Le Yaouanc (1) , L. Oliver (1) , J. -C. Raynal (1)

1 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]

We extend the formalism of Leibovich, Ligeti, Steward and Wise for the ${1 \over 2}^- \to {3 \over 2}^+$ form factors to the ${1 \over 2}^- \to {3 \over 2}^-$ transitions in the $1/m_Q$ expansion of Heavy Quark Effective Theory. We show that the corresponding subleading $1/m_Q$ magnetic coupling at zero recoil is related to the tensor force that describes the mixing between $D^* (\textstyle{{3 \over 2}^-, 1^-})$ and $D^* (\textstyle{{1 \over 2}^-, 1^-})$. We point out some subtleties that appear in this respect in HQET.

Domaines: Physique des Hautes Energies - Phénoménologie [hep-ph]

F. Jugeau, A. Le Yaouanc, L. Oliver, J. -C. Raynal. The tensor force in Heavy Quark Effective Theory and the semileptonic B decay to excited vector mesons $D(3/2^-,1^-)$. Physical Review D, 2006, 74, pp.017502. ⟨hal-00013367⟩