Non-perturbative mixing and renormalisation of $\Delta$F=2 Four-Fermion Operators

Campos Plasencia, Isabel; Dalla Brida, Mattia; de Divitiis, Giulia Maria; Lytle, Andrew; Marinelli, Riccardo; Papinutto, Mauro; Vladikas, Anastassios

doi:10.22323/1.453.0270

Non-perturbative mixing and renormalisation of $\Delta$ F=2 Four-Fermion Operators

Isabel Campos Plasencia
(
- Cantabria Inst. of Phys.
)
,
Mattia Dalla Brida
(
- CERN
)
,
Giulia Maria de Divitiis
(
- Rome U., Tor Vergata and
- INFN, Rome2
)
,
Andrew Lytle
(
- Illinois U., Urbana
)
,
Riccardo Marinelli
(
- Rome U. and
- INFN, Rome
)

May 4, 2024

7 pages

Published in:

PoS LATTICE2023 (2024) 270

Contribution to:

- Lattice 2023
, 270

Published: May 4, 2024

DOI:

10.22323/1.453.0270

pdf

reference search3 citations

Citations per year

Abstract: (SISSA)

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.

quark: sea
quark: valence
fermion: Wilson
renormalization group
boundary condition
quantum chromodynamics
nonperturbative
mixing
Poincare
flavor

References(8)

Figures(0)

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