Semileptonic $B \to D^{**}$ decays in Lattice QCD : a feasibility study and first results

Mariam Atoui 1 B. Blossier 2 Vincent Morenas 3 O. Pène 2 K. Petrov 4
1 Laboratoire de Physique Corpusculaire (Aubière, Puy-de-Dôme)
LPC - Laboratoire de Physique Corpusculaire - Clermont-Ferrand
4 AMIB - Algorithms and Models for Integrative Biology
LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau], LRI - Laboratoire de Recherche en Informatique, UP11 - Université Paris-Sud - Paris 11, Inria Saclay - Ile de France
Abstract : We compute the decays $B \to D^*_0$ and $B \to D^*_2$ with finite masses for the $b$ and $c$ quarks. We first discuss the spectral properties of both the $B$ meson as a function of its momentum and of the $D^*_0$ and $D^*_2$ at rest. We compute the theoretical formulae leading to the decay amplitudes from the three-point and two-point correlators. We then compute the amplitudes at zero recoil of $B \to D^*_0$ which turn out not to be vanishing contrary to what happens in the heavy quark limit. This opens a possibility to get a better agreement with experiment, although our extrapolation to the continuum and the physical $B$ mass has more than 100% uncertainty. The $B \to D^*_2$ vanishes at zero recoil and we show a statistically significant signal which is in a range between 1 to 10 times the heavy quark limit prediction. The improvement of these preliminary results will come mainly from adding a smaller lattice spacing to our sample.
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Submitted on : Thursday, December 12, 2013 - 2:37:37 PM
Last modification on : Wednesday, March 27, 2019 - 4:41:29 PM

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  • HAL Id : hal-00917799, version 1
  • ARXIV : 1312.2914


Mariam Atoui, B. Blossier, Vincent Morenas, O. Pène, K. Petrov. Semileptonic $B \to D^{**}$ decays in Lattice QCD : a feasibility study and first results. 2013. ⟨hal-00917799⟩



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