Volume 466 - The 41st International Symposium on Lattice Field Theory (LATTICE2024) - Standard Model Parameters
RG running from Step-Scaling Matrices in $\chi$SF schemes for $\Delta 𝐹$ = 2 Four-Fermion Operators
I.C. Plasencia, M. Dalla Brida, G.M. de Divitiis, A. Lytle, R. Marinelli*, M. Papinutto and A. Vladikas
*: corresponding author
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Pre-published on: February 01, 2025
Published on: —
Abstract
We present preliminary results for the Renormalization Group (RG) running of the complete basis of $\Delta F=2$ four-fermion
operators in QCD with $N_f=3$ dynamical massless flavours. We use O(a)-improved Wilson fermions in a mixed action setup, with chirally rotated Schrödinger functional ($\chi$SF) 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) using a SF coupling from the perturbative region down to $\sim4$GeV and a Gradient Flow (GF) coupling from $\sim4$GeV down to $\sim 250$MeV. The perturbative running is computed through a novel approach that extends the usual computations in the literature relying on consequences of the Poincaré-Dulac theorem.
DOI: https://doi.org/10.22323/1.466.0286
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