PoS - Proceedings of Science
Volume 453 - The 40th International Symposium on Lattice Field Theory (LATTICE2023) - Quark and Lepton Flavor Physics
Non-perturbative mixing and renormalisation of ΔF=2 Four-Fermion Operators
R. Marinelli*, I. Campos Plasencia, M. Dalla Brida, G. Maria de Divitiis, A. Lytle, M. Papinutto and A. Vladikas
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Pre-published on: May 04, 2024
Published on: —
Abstract
We present preliminary results for the Renormalization Group (RG) running of the complete basis of Δ𝐹 = 2 four-fermion operators in QCD with $𝑁_𝑓$ = 3 dynamical massless flavors. We use $O(a)$-improved Wilson fermions in a mixed action setup, with chirally rotated Schrödinger functional (𝜒SF) boundary conditions for the valence quarks and Schrödinger functional (SF) boundary conditions for the sea quarks. The RG evolution operators are evaluated non-perturbatively via the matrix step-scaling functions (matrix SSF) while the perturbative running is computed using a new approach relying on the Poincaré-Dulac theorem.
DOI: https://doi.org/10.22323/1.453.0270
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