A Lattice QCD study of the $\rho$ resonance

Understand

We present a lattice QCD study of the $\rho$ resonance with $N_f=2+1$ clover fermions at a pion mass of approximately $320$ MeV and lattice size $3.6$ fm.

• We consider two processes involving the $\rho$.
• The first process is elastic scattering of two pions in P-wave with isospin $1$.
• Using the L\"uscher method we determine the scattering phase shift, from which we obtain the $\rho$ resonance mass and decay width $\Gamma(\rho\to\pi\pi)$.