Loop Kernel

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

  • 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.

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

  • 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.

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

  • 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.

S Moch - One of the best experts on this subject based on the ideXlab platform.

  • 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.

Jurgen Teich - One of the best experts on this subject based on the ideXlab platform.

  • Quantitative Evaluation of Behavioral Synthesis Approaches for Reconfigurable Devices
    2020
    Co-Authors: Frank Hannig, Hritam Dutta, Holger Ruckdeschel, Jurgen Teich
    Abstract:

    Abstract. State-of-the-art behavioral synthesis tools for reconfigurable architectures barely have high-level transformations in order to achieve highly parallelized implementations. If any, they apply Loop unrolling to obtain a higher throughput. In this paper, we use the PARO behavioral synthesis tool which has the unique ability to perform both Loop unrolling or Loop partitioning. Loop unrolling replicates the Loop Kernel and exposes the parallelism for hardware implementation. Whereas, partitioning tiles the Loop program onto a regular array consisting of tightly coupled processing elements. The usage of the same design tool for both the variants enables for the first time, a quantitative evaluation of the two approaches with help of selected computationally intensive algorithms. The processor array approach achieves in all experiments a far better throughput, up to 61% more compared with Loop unrolling because of its regularity and the clustering of resources into several processing elements

  • parallelization approaches for hardware accelerators Loop unrolling versus Loop partitioning
    Automation Robotics and Control Systems, 2009
    Co-Authors: Frank Hannig, Hritam Dutta, Jurgen Teich
    Abstract:

    State-of-the-art behavioral synthesis tools barely have high-level transformations in order to achieve highly parallelized implementations. If any, they apply Loop unrolling to obtain a higher throughput. In this paper, we employ the PARO behavioral synthesis tool which has the unique ability to perform both Loop unrolling or Loop partitioning. Loop unrolling replicates the Loop Kernel and exposes the parallelism for hardware implementation, whereas partitioning tiles the Loop program onto a regular array consisting of tightly coupled processing elements. The usage of the same design tool for both the variants enables for the first time, a quantitative evaluation of the two approaches for reconfigurable architectures with help of computationally intensive algorithms selected from different benchmarks. Superlinear speedups in terms of throughput are accomplished for the processor array approach. In addition, area and power cost are reduced.