Two-loop evolution equation for the B-meson distribution amplitude

Abstract

We derive the two-loop evolution equation of the B-meson light-cone distribution amplitude which is the last missing element for the next-to-next-to-leading logarithmic resummation of QCD corrections to B decays in QCD factorization. We argue that the evolution kernel to all orders in perturbation theory can be written as a logarithm of the generator of special conformal transformations times the cusp anomalous dimension, up to a scheme-dependent overall constant. Up to this constant term, the evolution kernel to a given order in perturbation theory can be obtained from the calculation of special conformal anomaly at one order less.

6 pages, 1 figure

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Cited by in corpus (22)

• Precision calculations of $B\to V$ form factors in QCD
• $B$-meson light-cone distribution amplitude from the Euclidean quantity
• Renormalization and Scale Evolution of the Soft-Quark Soft Function
• $B\to D\ell {\nu }_{\ell }$ form factors beyond leading power and extraction of $|V_{cb}|$ and $R(D)$
• Precision calculations of the double radiative bottom-meson decays in soft-collinear effective theory
• Evolution of the $B$-Meson Light-Cone Distribution Amplitude in Laplace Space
• QCD sum rules for parameters of the $B$-meson distribution amplitudes
• Light-cone distribution amplitudes of heavy mesons with QED effects
• $B$-meson Ioffe-time distribution amplitude at short distances
• Systematic Parametrization of the Leading $B$-meson Light-Cone Distribution Amplitude
• Power corrections to quasi-distribution amplitudes of a heavy meson
• Heavy quark expansion for heavy-light light-cone operators
• Matching the B-meson quasidistribution amplitude in the RI/MOM scheme
• Revisiting radiative leptonic $B$ decay
• $n$-point correlators of twist-$2$ operators in $SU(N)$ Yang-Mills theory to the lowest perturbative order
• Renormalization of the next-to-leading-power $\gamma \gamma \to h$ and $gg\to h$ soft quark functions
• Semileptonic $B_s\to K_0^{\ast }(1430)$ transitions with the light-cone sum rules
• UV asymptotics of $n$-point correlators of twist-$2$ operators in SU($N$) Yang-Mills theory
• Form factors of $B_{(s)}$ to light scalar mesons with the $B$-meson LCSR
• Charged and Neutral ${\bar{B}}_{u,d,s}\to \gamma$ Form Factors from Light Cone Sum Rules at NLO
• Scale-dependence of the $B$-meson LCDA beyond leading order from conformal symmetry
• QCD factorization for the $B\to \gamma \ell {\nu }_{\ell }$ decay beyond leading power