Speaker
Jorge Baeza-Ballesteros
(Universitat de València)
Description
In this work we study the large $N_c$ scaling of pion-pion scattering lengths for $N_f=4$ degenerate quark flavours. We focus on the standard isospin-2 channel and the adjoint-antisymmmetric representation, which is unique for $N_f \geq 4$. We compare the results obtained for two regularisations (Wilson and Twisted-Mass) and three values of the lattice spacing, and observe significant discretisation effects in the AA channel. Finally, we compare our results to NLO SU(4) and NNLO U(4) Chiral Perturbation Theory and study the $N_c$ scaling of the relevant low-energy couplings.
Primary author
Jorge Baeza-Ballesteros
(Universitat de València)
Co-authors
Prof.
Pilar Hernandez
(University of Valencia)
Mr
Fernando Romero-López
