6533b829fe1ef96bd128a4af
RESEARCH PRODUCT
Evolution of the $B$-Meson Light-Cone Distribution Amplitude in Laplace Space
Anne Mareike GaldaMatthias NeubertMatthias Neubertsubject
Quantum chromodynamicsPhysicsHigh Energy Physics - TheoryMeson010308 nuclear & particles physicsHadronHigh Energy Physics::PhenomenologyFOS: Physical sciences01 natural sciencesComputer Science::Digital Librariessymbols.namesakeHigh Energy Physics - PhenomenologyExact solutions in general relativityHigh Energy Physics - Phenomenology (hep-ph)FactorizationHigh Energy Physics - Theory (hep-th)Light cone0103 physical sciencesWeierstrass factorization theoremsymbolsB mesonHigh Energy Physics::Experiment010306 general physicsMathematical physicsdescription
The $B$-meson light-cone distribution amplitude is a central quantity governing non-perturbative hadronic dynamics in exclusive $B$ decays. We show that the information needed to describe such processes at leading power in $\Lambda_{\rm QCD}/m_b$ is most directly contained in its Laplace transform $\tilde\phi_+(\eta)$. We derive the renormalization-group (RG) equation satisfied by this function and present its exact solution. We express the RG-improved QCD factorization theorem for the decay $B^-\to\gamma\ell^-\bar\nu$ in terms of $\tilde\phi_+(\eta)$ and show that it is explicitly independent of the factorization scale. We propose an unbiased parameterization of $\tilde\phi_+(\eta)$ in terms of a small set of uncorrelated hadronic parameters.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-10-30 |