2025/06/12 by Xiong-Hui Cao, Feng-Kun Guo, Cao, Xiong-Hui +5 · 4 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2506.10619
openalex publication_date 2025/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A comprehensive analysis of πK→ πK and ππ→ K K amplitudes at large unphysical pion mass for all important partial waves is presented. A set of crossing-symmetric partial-wave hyperbolic dispersion relations is used to describe lattice QCD data at mπ=391 MeV. In the present analysis, the amplitudes for the S- and P-waves are formulated by combining the constraints of analyticity, unitarity, and crossing symmetry, fulfilling Roy-Steiner-type equations. We use these results to investigate the low-lying strange-meson resonances and resolve the instability problem tied to analytic continuation in prior lattice QCD studies based on the K-matrix formalism. At mπ=391 MeV, the rigorous Roy-Steiner-type equation approach allows us to determine the S-wave scattering lengths, mπa01/2=(0.92-0.28+0.06), mπa03/2=-(0.32-0.02+0.05), and the κ (also known as K0^*(700)) pole position, √(sκ)=(966-24+41-i 198-17+38) MeV. We also provide a detailed analysis of the complex validity domain of the Roy-Steiner-type equations.