| Title: |
RG running from Step-Scaling Matrices in $\chi$SF schemes for $\Delta 𝐹$ = 2 Four-Fermion Operators |
| Authors: |
Campos Plasencia, Isabel; Brida, Mattia Dalla; de Divitiis, Giulia Maria; Lytle, Andrew; Marinelli, Riccardo; Papinutto, Mauro; Vladikas, Anastassios |
| Publication Year: |
2025 |
| Collection: |
CERN Document Server (CDS) |
| Subject Terms: |
Particle Physics - Lattice |
| Description: |
We present preliminary results for the Renormalization Group (RG) running of the complete basis of $\Delta F=2$ four-fermionoperators 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. |
| Document Type: |
other/unknown material |
| Language: |
English |
| Relation: |
http://cds.cern.ch/record/2936716; oai:cds.cern.ch:2936716 |
| DOI: |
10.22323/1.466.0286 |
| Availability: |
https://doi.org/10.22323/1.466.0286; http://cds.cern.ch/record/2936716 |
| Accession Number: |
edsbas.555D55CB |
| Database: |
BASE |