Radiative Decay $B\to l\nu \gamma$ in the Light Cone QCD Approach

Abstract

We calculate to the leading twist 2 accuracy the rate for the decay $B_u\to l\nu \gamma$ using the light cone QCD sume rules. We find $Br(B_u\to l\nu \gamma )\simeq 2\cdot 10^{-6}$. The results are used to test the applicability of the constituent quark model approximation to the same process.The latter estimate is proportional to $1/m_u^2$, where $m_u\simeq {\bar{\Lambda }}_u$ is the "constituent quark mass", indicating that the process is of long distance type. We find that the two approaches yield similar results for the rate with the choice $m_u\simeq 430-480MeV$. This indicates that the constituent quark model may be used for estimates of the radiative "annihilation" contribution to this and other radiative decays. We point out that this decay may be useful for the measurement of $|V_{ub}|$.

latex, 14 pages, one figure is available upon request

References in corpus (5)

• Heavy Quark Symmetry
• Exclusive Radiative B-Decays in the Light-Cone QCD Sum Rule Approach
• QCD Calculation of the $B\to \pi ,K$ Form Factors
• Soft contribution to the pion form factor from light-cone QCD sum rules
• Radiative Leptonic Decays of Heavy Mesons

Cited by in corpus (61)

• Phenomenology of Heavy Meson Chiral Lagrangians
• Radiative leptonic decays of B mesons in QCD
• Factorization in leptonic radiative B -> gamma eνdecays
• Extraction of the D^*Dπcoupling from D^* decays
• Factorization, the light-cone distribution amplitude of the B-meson and the radiative decay B -> gamma l nu_l
• Soft contribution to $B\to \gamma \ell {\nu }_{\ell }$ and the $B$-meson distribution amplitude
• Subleading-power corrections to the radiative leptonic $B\to \gamma \ell \nu$ decay in QCD
• Factorization and dispersion relations for radiative leptonic $B$ decay
• Gauge invariance and form factors for the decay B --> gamma l^+l^-
• Left-right mixing on leptonic and semileptonic $b\to u$ decays
• Radiative $B^{\ast }\to B\gamma$ and $D^{\ast }\to D\gamma$ decays in light cone QCD sum rules
• Radiative $B^{\ast }B\gamma$ and $D^{\ast }D\gamma$ coupling constants in light cone QCD sum rules
• Strong and electromagnetic decays of p-wave heavy baryons ${\Lambda }_{c1},{\Lambda }_{c1}^{\ast }$
• Radiative decays of heavy hadrons from light cone QCD sum rules in the leading order of HQET
• Study of $B_{s,d}\to l^{+}{l}^{-}\gamma$ Decays
• Radiative Leptonic B Decays in the Light Front Model
• Charge Asymmetry and Photon Energy Spectrum in the Decay $B_s\to l^{+}{l}^{-}\gamma$
• B-meson dileptonic decays enhanced by supersymmetry with large $\tan \beta$
• Lepton polarization asymmetry in radiative dileptonic B-meson decays in MSSM
• B_c -> l nu gamma decay in light cone QCD
• Soft Photon Problem in Leptonic B-decays
• Magnetic Moment of The ${\Theta }^{+}$ Pentaquark State
• Rare (B -> l^+ l^- gamma) decay and new physics effects
• B meson wave function from the $B\to \gamma l\nu$ decay
• On the Decay Mode $B^{-}\to {\mu }^{-}{\bar{\nu }}_{\mu }\gamma$
• Decays of charged $B$-mesons into three charged leptons and a neutrino
• Rare Radiative B -> τ^+ τ^- γdecay in the two Higgs doublet Model
• Transverse Momentum Dependent Factorization for Radiative Leptonic Decay of B-Meson
• Radiative Leptonic $B_c\to \gamma \ell \bar{\nu }$ Decay in Effective Field Theory beyond Leading Order
• Methods for high-precision determinations of radiative-leptonic decay form factors using lattice QCD
• Rare B -> Nu Barnu Gamma Decay in Light Cone QCD Sum Rule
• Polarized forward-backward asymmetries of leptons in (B_s -> l^+ l^- gamma) decay
• The Strong Coupling Constants of Excited Positive Parity Heavy Mesons in Light Cone QCD
• New physics effects in the rare B_s --> γ\ell^+ \ell^- decays with polarized photon
• Double-lepton polarizations in (B -> l^+ l^- gamma) decay
• Distribution of valence quarks and light-cone QCD sum rules
• $B\to {\tau }^{+}{\tau }^{-}\gamma$ decay in the general two Higgs doublet model including the neutral Higgs boson effects
• A General analysis of the lepton polarizations in Bs ->γ\ell^+ \ell^- decays
• Rare decays $B\to X_s{\tau }^{+}{\tau }^{-}$ and $B_s\to {\tau }^{+}{\tau }^{-}\gamma$ in technicolor with scalars
• Radiative leptonic decays of heavy mesons in heavy quark limit
• Radiative leptonic B decays in the instantaneous Bethe-Salpeter approach
• The "radiative Delta -> N gamma" decay in light cone QCD
• Rare B decays in the flip SU(5) Model
• Form factors and branching ratio for the B -> l nu gamma decay
• Complete Analysis on the Short Distance Contribution of $B_s\to {\ell }^{+}{\ell }^{-}\gamma$ in Standard Model
• The $\omega \sigma \gamma$-vertex in light cone QCD sum rules
• The $\varphi a_0\gamma$- and $\varphi \sigma \gamma$-vertices in light cone QCD
• Double-Lepton Polarization Asymmetries and Branching Ratio of the $B\rar γl^+ l^- $ transition in Universal Extra Dimension
• Radiative B_c -> tau nu_tau gamma decay
• The effects of non-standard Z couplings on the lepton polarizations in B_s to γ\ell^+ \ell^- decays
• Rare B_s -> γν\barν decay with polarized photon and new physics effects
• CP violation in the radiative dileptonic B-meson decays
• $\tau$ polarization asymmetries in $B^{+}\to {\tau }^{+}{\nu }_{\tau }\gamma$ and $B_c^{+}\to {\tau }^{+}{\nu }_{\tau }\gamma$
• Efficient lattice QCD computation of radiative-leptonic-decay form factors at multiple positive and negative photon virtualities
• Bound on $\cos \alpha$ from exclusive weak radiative B decays
• Coupling constants g_a0-omega-gamma as derived from light cone QCD sum rules
• Charged and Neutral ${\bar{B}}_{u,d,s}\to \gamma$ Form Factors from Light Cone Sum Rules at NLO
• The Radiative Leptonic $B_c\to \tau \overline{{\nu }_{\tau }}\gamma$ Decay in Two Higgs Doublet Model
• Radiative $B_c$ meson decays $B_c\to \gamma u\bar{d}$
• Can contribution from magnetic-penguin operator with real photon to $B_s\to {\ell }^{+}{\ell }^{-}\gamma$ in the standard model be neglected?
• g_phi-pion-gamma coupling constant in light cone QCD sum rules