RISC JKU
  • @techreport{RISC6347,
    author = {J. Blümlein and P. Marquard and C. Schneider and K. Schönwald},
    title = {{The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements}},
    language = {english},
    abstract = {We calculate the unpolarized and polarized three--loop anomalous dimensions and splitting functions $P_{rm NS}^+, P_{rm NS}^-$ and $P_{rm NS}^{rm s}$ in QCD in the $overline{sf MS}$ scheme by using the traditional method of space--like off shell massless operator matrix elements. This is a gauge--dependent framework. For the first time we also calculate the three--loop anomalous dimensions $P_{rm NS}^{rm pm, tr}$ for transversity directly. We compare our results to the literature. },
    number = {21-13},
    year = {2021},
    month = {July},
    keywords = {particle physics, 3-loop anomalous dimensions, large moment method, recurrence guessing and solving},
    length = {40},
    license = {CC BY 4.0 International},
    type = {RISC Report Series},
    institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
    address = {Altenberger Stra├če 69, 4040 Linz, Austria},
    issn = {2791-4267 (online)}
    }