Speaker
Dr
Pol Vilaseca Mainar
(Instituto Nazionale de Fisica Nucleare)
Description
The chirally rotated Schrödinger functional (χSF) is a renormalization scheme which renders the mechanism of automatic O(a) improvement compatible with the Schrödinger functional (SF) formulation.
Here we define a family of renormalization schemes based on the χSF for a complete basis of ∆S = 2 parity-odd four-fermion operators.
We compute the scale-dependant renormalization constants of such operators to one-loop in perturbation theory and obtain their NLO anomalous dimensions.
After this is done, we compute the cutoff effects in the corresponding step-scaling functions at one-loop. Due to automatic O(a) improvement, once the χSF action is renormalized and O(a) improved, renormalization constants are affected directly by O(a^{2}) effects without the need of operator improvement.
Primary author
Dr
Pol Vilaseca Mainar
(Instituto Nazionale de Fisica Nucleare)
Co-authors
Dr
Mattia Dalla Brida
(DESY - Zeuthen)
Dr
Papinutto Mauro
("Sapienza" Università di Roma)
