Factorization of Heavy-to-Light Baryonic Transitions in SCET

Abstract

In the framework of the soft-collinear effective theory, we demonstrate that the leading-power heavy-to-light baryonic form factors at large recoil obey the heavy quark and large energy symmetries. Symmetry breaking effects are suppressed by $\Lambda /m_b$ or $\Lambda /E$, where $\Lambda$ is the hadronic scale, $m_b$ is the $b$ quark mass and $E\sim m_b$ is the energy of light baryon in the final state. At leading order, the leading power baryonic form factor ${\xi }_{\Lambda ,p}(E)$, in which two hard-collinear gluons are exchanged in the baryon constituents, can factorize into the soft and collinear matrix elements convoluted with a hard-kernel of order ${\alpha }_s^2$. Including the energy release dependence, we derive the scaling law ${\xi }_{\Lambda ,p}(E)\sim {\Lambda }^2/E^2$. We also find that this form factor ${\xi }_{\Lambda }(E)$ is numerically smaller than the form factor governed by soft processes, although the latter is formally power-suppressed.

18 pages, 2 figures, references and more discussions added; journal version

References in corpus (3)

• Distribution Amplitudes of the Lambda_b Baryon in QCD
• Photon polarization from helicity suppression in radiative decays of polarized Lambda_b to spin-3/2 baryons
• Distribution amplitudes of $\Sigma$ and $\Lambda$ and their electromagnetic form factors

Cited by in corpus (28)

• Weak Decays of Doubly Heavy Baryons: SU(3) Analysis
• ${\Lambda }_b\to \Lambda {\ell }^{+}{\ell }^{-}$ form factors, differential branching fraction, and angular observables from lattice QCD with relativistic $b$ quarks
• Light-Cone Distribution Amplitudes for Heavy-Quark Hadrons
• Perturbative Corrections to ${\Lambda }_b\to \Lambda$ Form Factors from QCD Light-Cone Sum Rules
• Rare baryon decays Lambda_b -> Lambda l+ l- (l=e, mu, tau) and Lambda_b -> Lambda gamma : Differential and total rates, lepton- and hadron-side forward-backward asymmetries
• Angular Analysis of the Decay ${\Lambda }_b\to \Lambda (\to N\pi ){\ell }^{+}{\ell }^{-}$
• Lambda_b -> Lambda l+ l- form factors and differential branching fraction from lattice QCD
• Light-Cone Distribution Amplitudes of the Ground State Bottom Baryons in HQET
• Weak Decays of Doubly Heavy Baryons: W-Exchange
• ${\Lambda }_b\to p$ transition form factors in perturbative QCD
• On the angular distribution of ${\Lambda }_b\to \Lambda (\to N\pi ){\tau }^{+}{\tau }^{-}$ decay
• Integrability of the evolution equations for heavy-light baryon distribution amplitudes
• Lepton mass effects and angular observables in ${\Lambda }_b\to \Lambda (\to p\pi ){\ell }^{+}{\ell }^{-}$
• The ${\Lambda }_b\to {\Lambda }^{\ast }(1520)(\to N\bar{K}){\ell }^{+}{\ell }^{-}$ decay at low-recoil in HQET
• Lightcone and quasi distribution amplitudes for light octet and decuplet baryons
• Integrability in heavy quark effective theory
• ${\Lambda }_b\to p{l}^{-}\bar{\nu }$ form factors from lattice QCD with static b quarks
• ${\Lambda }_b\to p,N^{\ast }(1535)$ Form Factors from QCD Light-Cone Sum Rules
• Recent Developments on the CKM Matrix
• Light Cone Distribution Amplitude for the $\Lambda$ Baryon from Lattice QCD
• Transition form factors and angular distributions of the ${\mathbf{\Lambda }}_{\mathbf{b}}\to \mathbf{\Lambda }(1520)(\to \mathbf{N}\bar{\mathbf{K}}){\mathbf{\ell }}^{+}{\mathbf{\ell }}^{-}$ decay supported by baryon spectroscopy
• The ${\Lambda }_b\to \Lambda (\to p{\pi }^{-}){\mu }^{+}{\mu }^{-}$ decay in the aligned two-Higgs-doublet model
• Analysis of Angular Observables of ${\Lambda }_b\to \Lambda (\to p\pi ){\mu }^{+}{\mu }^{-}$ Decay in Standard and $Z^{\prime }$ Models
• Implications of recent LHCb data on CPV in b-baryon four body decays
• Invisible and Semi-invisible Decays of Bottom Baryons
• SU(3) symmetry and its breaking effects in semileptonic heavy baryon decays
• ${\Xi }_b\to \Xi$ form factors from lattice QCD and Standard-Model predictions for ${\Xi }_b\to \Xi {\mu }^{+}{\mu }^{-}$ and ${\Xi }_b\to \Xi \gamma$ decays
• Semileptonic neutral current decays of ${\Xi }_b$ with dileptons or dineutrinos in the final state