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 (X 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) while the perturbative running is computed using a new approach [1, 2] relying on the Poincaré-Dulac theorem.
Plasencia, I., Dalla Brida, M., de Divitiis, G., Lytle, A., Marinelli, R., Papinutto, M., et al. (2024). Non-perturbative mixing and renormalisation of ∆F = 2 Four-Fermion Operators. In 40th International Symposium on Lattice Field Theory, LATTICE 2023. Sissa Medialab Srl [10.22323/1.453.0270].
Non-perturbative mixing and renormalisation of ∆F = 2 Four-Fermion Operators
Dalla Brida M.;
2024
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 (X 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) while the perturbative running is computed using a new approach [1, 2] relying on the Poincaré-Dulac theorem.
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