Abstract
We use AdS/QCD holographic distributions amplitudes for the vector mesons \({\rho}\) and K * in order to predict the radiative decays \({B \to \rho \gamma}\) and \({B \to K^{*} \gamma}\) as well as the semileptonic decays \({B \to \rho l \nu}\) and \({B \to K^{*} \mu^{+} \mu^{-}}\). For the radiative decays, we find that the AdS/QCD DAs offer the advantage of avoiding end-point singularities when computing power suppressed contributions. For the semileptonic decays \({B \to \rho l \nu}\) and \({B \to K^{*} \mu^{+} \mu^{-}}\), we compare our predictions to the latest BaBar and LHCb data respectively.
Similar content being viewed by others
References
Differential branching fraction and angular analysis of the \({B^{0} \to K^{*0} \mu^{+} \mu^{-}}\) decay Linked to LHCb-ANA-2011-089 (2012)
Aaij R. et al.: Measurement of the isospin asymmetry in \({B \to K^{(*)} \mu^{+}\mu^{-}}\) decays. JHEP 1207, 133 (2012). doi:10.1007/JHEP07(2012)133
Ahmady M., Sandapen R.: Predicting \({B \to \rho \gamma}\) and \({B_{s} \to \rho \gamma}\) using holographic AdS/QCD distribution amplitudes for the \({\rho}\) meson. Phys. Rev. D 87, 054013 (2013). doi:10.1103/PhysRevD.87.054013
Ahmady M., Sandapen R.: Predicting the isospin asymmetry in \({B \to K* \gamma}\) using holographic AdS/QCD distribution amplitudes for the K*. Phys. Rev. D 88, 014042 (2013). doi:10.1103/PhysRevD.88.014042
Ahmady M., Campbell R., Lord S., Sandapen R.: Predicting \({B \to K*}\) form factors in light-cone QCD. Phys. Rev. D 88, 014042 (2014). doi:10.1103/PhysRevD.89.074021
Aliev T., Ozpineci A., Savci M.: Rare \({B \to K^{*} l^{+} l^{-}}\) decay in light cone QCD. Phys. Rev. D 56, 4260–4267 (1997). doi:10.1103/PhysRevD.56.4260
Ball P., Braun V.M.: Use and misuse of QCD sum rules in heavy to light transitions: the decay \({B \to \rho e \nu}\) reexamined. Phys. Rev. D 55, 5561–5576 (1997). doi:10.1103/PhysRevD.55.5561
Ball P., Braun V.M.: Higher twist distribution amplitudes of vector mesons in QCD: twist-4 distributions and meson mass corrections. Nucl. Phys. B543, 201–238 (1999). doi:10.1016/S0550-3213(99)00014-0
Ball P., Braun V.M., Lenz A.: Twist-4 distribution amplitudes of the K* and \({\phi}\) mesons in QCD. JHEP 08, 090 (2007)
Brodsky, S.J., de Teramond, G.F., Dosch, H.G., Erlich, J.: Light-front holographic QCD and emerging confinement (2014). arXiv:1407.8131
Burford D. et al.: Form-factors for \({B \to \pi l \nu}\) and \({B \to K* \gamma}\) decays on the lattice. Nucl. Phys. B447, 425–440 (1995). doi:10.1016/0550-3213(95)00223-F
del Amo Sanchez, P., et al.: Study of \({B \to \pi \ell \nu}\) and \({B \to \rho \ell \nu}\) decays and determination of \({|V_{ub}|}\). Phys. Rev. D 83, 032007 (2011). doi:10.1103/PhysRevD.83.032007
Del Debbio, L., Flynn, J.M., Lellouch, L., Nieves, J.: Lattice constrained parametrizations of form factors for semileptonic and rare radiative B decays. Phys. Lett. B416, 392–401 (1998). doi:10.1016/S0370-2693(97)01350-6
Descotes-Genon S., Hurth T., Matias J., Virto J.: Optimizing the basis of \({{B} \to {K}^{*} \ell^{+} \ell^{-}}\) observables in the full kinematic range. JHEP 1305, 137 (2013). doi:10.1007/JHEP05(2013)137
de Teramond, G.F.,Brodsky, S.J.: Light-front holography: a first approximation to QCD. Phys.Rev. Lett. 102, 081601 (2009). doi:10.1103/PhysRevLett.102.081601
de Teramond, G.F., Brodsky, S.J.: Hadronic form factor models and spectroscopy within the gauge/gravity correspondence (2012). arXiv:1203.4025
Faustov R., Galkin V., Mishurov A.Y.: Relativistic description of exclusive heavy-to-light semileptonic decays \({B\to\pi(\rho)e\nu}\). Phys. Rev. D 53, 6302–6315 (1996). doi:10.1103/PhysRevD.53.6302
Flynn, J.M.: Development in lattice QCD (1996). hep-lat/9611016
Forshaw J.R., Sandapen R.: An AdS/QCD holographic wavefunction for the rho meson and diffractive rho meson electroproduction. Phys. Rev. Lett. 109, 081601 (2012). doi:10.1103/PhysRevLett.109.081601
Horgan, R.R., Liu, Z., Meinel, S., Wingate, M.: Lattice QCD calculation of form factors describing the rare decays \({B \to K^{*} \ell^{+} \ell^{-}}\) and \({B_{s} \to \phi \ell^{+} \ell^{-}}\). Phys. Rev. D 89, 094501 (2014). doi:10.1103/PhysRevD.89.094501
Jaus W.: Semileptonic decays of B and d mesons in the light front formalism. Phys. Rev. D 41, 3394 (1990). doi:10.1103/PhysRevD.41.3394
Melikhov D.: Exclusive semileptonic decays of heavy mesons in quark model. Phys. Lett. B394, 385–394 (1997). doi:10.1016/S0370-2693(97)00048-8
Wirbel M., Stech B., Bauer M.: Exclusive semileptonic decays of heavy mesons. Z. Phys. C29, 637 (1985). doi:10.1007/BF01560299
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ahmady, M., Lord, S. & Sandapen, R. Light-Front Holography in B Physics. Few-Body Syst 56, 545–550 (2015). https://doi.org/10.1007/s00601-014-0936-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00601-014-0936-x