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RESEARCH PRODUCT

Higher-Order Corrections to Sirlin's Theorem inO(p6)Chiral Perturbation Theory

P. PostK. Schilcher

subject

PhysicsParticle physicsPionChiral perturbation theoryGeneral Physics and AstronomyOrder (ring theory)Charge (physics)Linear combination

description

We present the results of the first two-loop calculation of a form factor in full $\mathrm{SU}(3)\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(3)$ chiral perturbation theory. We choose a specific linear combination of ${\ensuremath{\pi}}^{+}$, ${K}^{+}$, ${K}^{0}$, and $K\ensuremath{\pi}$ form factors (the one appearing in Sirlin's theorem) which does not get contributions from order ${p}^{6}$ operators with unknown constants. For the charge radii, the corrections to the previous one-loop result turn out to be significant. To clearly identify the two-loop effects, more accurate measurements of the kaon and pion electromagnetic charge radii would be desirable.

https://doi.org/10.1103/physrevlett.79.4088