We present preliminary results for the Renormalization Group (RG) running of the complete basis of Δ𝐹 = 2 four-fermion operators in QCD with 𝑁𝑓= 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.
Non-perturbative mixing and renormalisation of ΔF = 2 four-fermion operators / Marinelli, Riccardo; Campos Plasencia, Isabel; Dalla Brida, Mattia; Maria De Divitiis, Giulia; Lytle, Andrew; Papinutto, Mauro; Vladikas, Anastassios. - In: POS PROCEEDINGS OF SCIENCE. - ISSN 1824-8039. - 453:(2024), pp. 1-7. ( The 40th International Symposium on Lattice Field Theory (LATTICE2023) Batavia; Illinois USA ) [10.22323/1.453.0270].
Non-perturbative mixing and renormalisation of ΔF = 2 four-fermion operators
Marinelli, Riccardo
;Papinutto, Mauro;
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 𝑁𝑓= 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.| File | Dimensione | Formato | |
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