Kaon electromagnetic form factors in dispersion theory

Area of Science:

• Particle Physics
• Quantum Field Theory
• Electromagnetic Interactions

Background:

• Kaon electromagnetic form factors are crucial for understanding particle interactions.
• Low-energy singularities and specific residues significantly constrain these form factors.
• Previous analyses lacked a comprehensive global approach incorporating all constraints.

Purpose of the Study:

• To perform a global analysis of kaon electromagnetic form factors.
• To implement constraints from low-energy singularities and reaction data.
• To derive precise values for kaon properties and related physical quantities.

Main Methods:

• Global analysis of time- and spacelike kaon electromagnetic data.
• Incorporation of constraints from $$ and $$ residues.
• Utilizing $$ partial-wave amplitude and pion electromagnetic form factor predictions.

Main Results:

• Precise determination of charged and neutral kaon radii: $$ and $$.
• Calculation of elastic contribution to Dashen's theorem violation: $$.
• Quantification of kaon box in hadronic light-by-light scattering: $$.
• Evaluation of hadronic vacuum polarization integrals around the $$ resonance: $$, $$.

Conclusions:

• The global analysis provides robust values for key kaon properties.
• Results have significant implications for hadronic light-by-light scattering and vacuum polarization.
• The study refines parameters of the $$ resonance, including vacuum-polarization effects.