Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dispersive $\pi K\to \pi K$ and $\pi \pi \to K \bar{K}$ amplitudes from
  scattering data, threshold parameters and the lightest strange resonance
  $\kappa$ or $K^*_0(700)$   We discuss the simultaneous dispersive analyses of $\pi K\to \pi K$ and $\pi
\pi \to K \bar{K}$ scattering data and the $\kappa/K^*_0(700)$ resonance. The
unprecedented statistics of present and future Hadron Experiments, modern
Lattice QCD calculations, and the wealth of new states and decays, require such
precise and model-independent analyses to describe final state interactions. We
review the existing and often conflicting data and explain in detail the
derivation of the relevant dispersion relations, maximizing their applicability
range. Next, we review and extend the caveats on some data, showing their
inconsistency with dispersion relations. Our main result is the derivation and
compilation of precise amplitude parameterizations constrained by several $\pi
K\to \pi K$ and $\pi \pi \to K \bar{K}$ dispersion relations. These constrained
parameterizations are easily implementable and provide the rigor and accuracy
needed for modern experimental and phenomenological Hadron Physics. As
applications, after reviewing their status and interest, we will provide new
precise threshold and subthreshold parameters and review our dispersive
determination of the controversial $\kappa/K^*_0(700)$ resonance and other
light-strange resonances.

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The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
19
The categories of this paper are: eess
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math