Karlsruhe 2024 – wissenschaftliches Programm

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T: Fachverband Teilchenphysik

T 91: Standard model 3 (strong/QCD)

T 91.8: Vortrag

Donnerstag, 7. März 2024, 17:45–18:00, Geb. 30.23: 2/0

Short-flow-time expansion of quark bilinears through next-to-next-to-leading order QCD — Janosch Borgulat¹, Robert Harlander¹, •Jonas Kohnen¹, and Fabian Lange^2,3,4,5 — ¹TTK, RWTH Aachen University, 52056 Aachen, Germany — ²Physik-Institut, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland — ³Paul Scherrer Institut, 5232 Villigen PSI, Switzerland — ⁴Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT), Wolfgang-Gaede-Straße 1, 76128 Karlsruhe, Germany — ⁵Institut für Astroteilchenphysik, Karlsruhe Institute of Technology (KIT), Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany

The gradient-flow formalism has proven to be a valuable tool for calculations in lattice gauge theory. It extends the fields of QCD by the flow time t. Matrix elements of flowed composite operators do not mix under renormalization and can be calculated efficiently on the lattice. In order to match the flowed operators to regular QCD, one can perform an operator-product expansion at short flow times. The coefficients of this short-flow-time expansion can be calculated perturbatively. The topic of this talk is the calculation of the coefficients of the short-flow-time expansion for the scalar, pseudoscalar, vector, axialvector and tensor currents at next-to-next-to leading order.

Keywords: Gradient flow; Lattice gauge theory; Quark bilinear operators; Short-flow-time-expansion