Reply to "comment on `Scrutinizing $\pi \pi$ scattering in light of recent lattice phase shifts'"

Abstract

We reply to the comment [arxiv:2202.08809] by E. van Beveren and G. Rupp on our recent work [arxiv:2202.03124], by further clarifying the difference between the two approaches. We emphasize that the left-hand cuts and constraints of crossing symmetry play an important role in reliably extracting the poles' information below the $\pi \pi$ threshold.

Published version. Discussions are modified according to the newly updated comment

References in corpus (5)

• S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD
• Isoscalar $\pi \pi$ scattering and the $\sigma$ meson resonance from QCD
• An improved study of the kappa resonance and the non-exotic $s$ wave $\pi K$ scatterings up to $\sqrt{s}=2.1$GeV of LASS data
• Scrutinizing $\pi \pi$ scattering in light of recent lattice phase shifts
• Comment on "Scrutinizing pion-pion scattering in light of recent lattice phase shifts"

Cited by in corpus (2)

• Revisiting $O(N)$ $\sigma$ model at unphysical pion masses and high temperatures
• Review on recent progress in the study of the $N^{\ast }(920)$ subthreshold singularity and the $\sigma /f_0(500)$ meson