TY  - JOUR
AU  - Baeza-Ballesteros, J.
AU  - Hernandez, P.
AU  - Romero-Lopez, F.
PY  - 2022
DA  - 2022//
TI  - A lattice study of pi pi scattering at large N-c
T2  - J. High Energy Phys.
JO  - Journal of High Energy Physics
SP  - 049
EP  - 39pp
VL  - 06
IS  - 6
PB  - Springer
KW  - Hadronic Spectroscopy
KW  - Structure and Interactions
KW  - Lattice QCD
KW  - 1/N Expansion
KW  - Chiral Lagrangian
AB  - We present the first lattice study of pion-pion scattering with varying number of colors, N-c. We use lattice simulations with four degenerate quark flavors, N-f = 4, and N-c= 3 – 6. We focus on two scattering channels that do not involve vacuum diagrams. These correspond to two irreducible representations of the SU(4) flavor group: the fully symmetric one, SS, and the fully antisymmetric one, AA. The former is a repulsive channel equivalent to the isospin-2 channel of SU(2). By contrast, the latter is attractive and only exists for N-f >= 4. A representative state is (vertical bar D-s(+) pi(+)> – vertical bar D+ K+ >) /root 2. Using Lfischer's formalism, we extract the near-threshold scattering amplitude and we match our results to Chiral Perturbation Theory (ChPT) at large N-c. For this, we compute the analytical U(N-f) ChPT prediction for two-pion scattering, and use the lattice results to constrain the N-c scaling of the relevant low-energy couplings.
SN  - 1029-8479
UR  - https://arxiv.org/abs/2202.02291
UR  - https://doi.org/10.1007/JHEP06(2022)049
DO  - 10.1007/JHEP06(2022)049
LA  - English
N1  - WOS:000809342900001
ID  - Baeza-Ballesteros_etal2022
ER  -