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.

arXiv commentPublished version. Discussions are modified according to the newly updated comment

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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