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A V Grabovsky - One of the best experts on this subject based on the ideXlab platform.

A N Manashov - One of the best experts on this subject based on the ideXlab platform.

  • two loop Evolution Equation for the b meson distribution amplitude
    Physical Review D, 2019
    Co-Authors: V M Braun, A N Manashov
    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.

  • three loop Evolution Equation for flavor nonsinglet operators in off forward kinematics
    Journal of High Energy Physics, 2017
    Co-Authors: V M Braun, A N Manashov, S Moch, M Strohmaier
    Abstract:

    Using the approach based on conformal symmetry we calculate the three-loop (NNLO) contribution to the Evolution Equation for flavor-nonsinglet leading twist operators in the MS scheme. The explicit expression for the three-loop kernel is derived for the corresponding light-ray operator in coordinate space. The expansion in local operators is performed and explicit results are given for the matrix of the anomalous dimensions for the operators up to seven covariant derivatives. The results are directly applicable to the renormalization of the pion light-cone distribution amplitude and flavor-nonsinglet generalized parton distributions.

  • three loop Evolution Equation for flavor nonsinglet operators in off forward kinematics
    arXiv: High Energy Physics - Phenomenology, 2017
    Co-Authors: V M Braun, A N Manashov, S Moch, M Strohmaier
    Abstract:

    Using the approach based on conformal symmetry we calculate the three-loop (NNLO) contribution to the Evolution Equation for flavor-nonsinglet leading twist operators in the $\overline{\text{MS}}$ scheme. The explicit expression for the three-loop kernel is derived for the corresponding light-ray operator in coordinate space. The expansion in local operators is performed and explicit results are given for the matrix of the anomalous dimensions for the operators up to seven covariant derivatives. The results are directly applicable to the renormalization of the pion light-cone distribution amplitude and flavor-nonsinglet generalized parton distributions.

  • Evolution Equation for the higher twist b meson distribution amplitude
    Physical Review D, 2015
    Co-Authors: V M Braun, A N Manashov, N Offen
    Abstract:

    We find that the Evolution Equation for the three-particle quark-gluon $B$-meson light-cone distribution amplitude (DA) of subleading twist is completely integrable in the large ${N}_{c}$ limit and can be solved exactly. The lowest anomalous dimension is separated from the remaining, continuous spectrum by a finite gap. The corresponding eigenfunction coincides with the contribution of quark-gluon states to the two-particle DA ${\ensuremath{\phi}}_{\ensuremath{-}}(\ensuremath{\omega})$ so that the Evolution Equation for the latter is the same as for the leading-twist DA ${\ensuremath{\phi}}_{+}(\ensuremath{\omega})$ up to a constant shift in the anomalous dimension. Thus, ``genuine'' three-particle states that belong to the continuous spectrum effectively decouple from ${\ensuremath{\phi}}_{\ensuremath{-}}(\ensuremath{\omega})$ to the leading-order accuracy. In turn, the scale dependence of the full three-particle DA turns out to be nontrivial so that the contribution with the lowest anomalous dimension does not become leading at any scale. The results are illustrated on a simple model that can be used in studies of $1/{m}_{b}$ corrections to heavy-meson decays in the framework of QCD factorization or light-cone sum rules.

  • conformal symmetry of the lange neubert Evolution Equation
    Physics Letters B, 2014
    Co-Authors: V M Braun, A N Manashov
    Abstract:

    The Lange–Neubert Evolution Equation describes the scale dependence of the wave function of a meson built of an infinitely heavy quark and light antiquark at light-like separations, which is the hydrogen atom problem of QCD. It has numerous applications to the studies of B -meson decays. We show that the kernel of this Equation can be written in a remarkably compact form, as a logarithm of the generator of special conformal transformation in the light-ray direction. This representation allows one to study solutions of this Equation in a very simple and mathematically consistent manner. Generalizing this result, we show that all heavy–light Evolution kernels that appear in the renormalization of higher-twist B -meson distribution amplitudes can be written in the same form.

R E Gerasimov - One of the best experts on this subject based on the ideXlab platform.

V M Braun - One of the best experts on this subject based on the ideXlab platform.

  • two loop Evolution Equation for the b meson distribution amplitude
    Physical Review D, 2019
    Co-Authors: V M Braun, A N Manashov
    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.

  • three loop Evolution Equation for flavor nonsinglet operators in off forward kinematics
    Journal of High Energy Physics, 2017
    Co-Authors: V M Braun, A N Manashov, S Moch, M Strohmaier
    Abstract:

    Using the approach based on conformal symmetry we calculate the three-loop (NNLO) contribution to the Evolution Equation for flavor-nonsinglet leading twist operators in the MS scheme. The explicit expression for the three-loop kernel is derived for the corresponding light-ray operator in coordinate space. The expansion in local operators is performed and explicit results are given for the matrix of the anomalous dimensions for the operators up to seven covariant derivatives. The results are directly applicable to the renormalization of the pion light-cone distribution amplitude and flavor-nonsinglet generalized parton distributions.

  • three loop Evolution Equation for flavor nonsinglet operators in off forward kinematics
    arXiv: High Energy Physics - Phenomenology, 2017
    Co-Authors: V M Braun, A N Manashov, S Moch, M Strohmaier
    Abstract:

    Using the approach based on conformal symmetry we calculate the three-loop (NNLO) contribution to the Evolution Equation for flavor-nonsinglet leading twist operators in the $\overline{\text{MS}}$ scheme. The explicit expression for the three-loop kernel is derived for the corresponding light-ray operator in coordinate space. The expansion in local operators is performed and explicit results are given for the matrix of the anomalous dimensions for the operators up to seven covariant derivatives. The results are directly applicable to the renormalization of the pion light-cone distribution amplitude and flavor-nonsinglet generalized parton distributions.

  • Evolution Equation for the higher twist b meson distribution amplitude
    Physical Review D, 2015
    Co-Authors: V M Braun, A N Manashov, N Offen
    Abstract:

    We find that the Evolution Equation for the three-particle quark-gluon $B$-meson light-cone distribution amplitude (DA) of subleading twist is completely integrable in the large ${N}_{c}$ limit and can be solved exactly. The lowest anomalous dimension is separated from the remaining, continuous spectrum by a finite gap. The corresponding eigenfunction coincides with the contribution of quark-gluon states to the two-particle DA ${\ensuremath{\phi}}_{\ensuremath{-}}(\ensuremath{\omega})$ so that the Evolution Equation for the latter is the same as for the leading-twist DA ${\ensuremath{\phi}}_{+}(\ensuremath{\omega})$ up to a constant shift in the anomalous dimension. Thus, ``genuine'' three-particle states that belong to the continuous spectrum effectively decouple from ${\ensuremath{\phi}}_{\ensuremath{-}}(\ensuremath{\omega})$ to the leading-order accuracy. In turn, the scale dependence of the full three-particle DA turns out to be nontrivial so that the contribution with the lowest anomalous dimension does not become leading at any scale. The results are illustrated on a simple model that can be used in studies of $1/{m}_{b}$ corrections to heavy-meson decays in the framework of QCD factorization or light-cone sum rules.

  • conformal symmetry of the lange neubert Evolution Equation
    Physics Letters B, 2014
    Co-Authors: V M Braun, A N Manashov
    Abstract:

    The Lange–Neubert Evolution Equation describes the scale dependence of the wave function of a meson built of an infinitely heavy quark and light antiquark at light-like separations, which is the hydrogen atom problem of QCD. It has numerous applications to the studies of B -meson decays. We show that the kernel of this Equation can be written in a remarkably compact form, as a logarithm of the generator of special conformal transformation in the light-ray direction. This representation allows one to study solutions of this Equation in a very simple and mathematically consistent manner. Generalizing this result, we show that all heavy–light Evolution kernels that appear in the renormalization of higher-twist B -meson distribution amplitudes can be written in the same form.

Heng Fan - One of the best experts on this subject based on the ideXlab platform.

  • Evolution Equation for quantum coherence
    Scientific Reports, 2016
    Co-Authors: Heng Fan
    Abstract:

    The estimation of the decoherence process of an open quantum system is of both theoretical significance and experimental appealing. Practically, the decoherence can be easily estimated if the coherence Evolution satisfies some simple relations. We introduce a framework for studying Evolution Equation of coherence. Based on this framework, we prove a simple factorization relation (FR) for the l1 norm of coherence, and identified the sets of quantum channels for which this FR holds. By using this FR, we further determine condition on the transformation matrix of the quantum channel which can support permanently freezing of the l1 norm of coherence. We finally reveal the universality of this FR by showing that it holds for many other related coherence and quantum correlation measures.

  • Evolution Equation for geometric quantum correlation measures
    Physical Review A, 2015
    Co-Authors: Heng Fan
    Abstract:

    A simple relation is established for the Evolution Equation of quantum information processing protocols such as quantum teleportation, remote state preparation, Bell-inequality violation and particularly dynamics of the geometric quantum correlation measures. This relation shows that when the system traverses the local quantum channel, various figures of merit of the quantum correlations for different protocols demonstrate a factorization decay behavior for dynamics. We identified the family of quantum states for different kinds of quantum channels under the action of which the relation holds. This relation simplifies the assessment of many quantum tasks.