Scalar Form Factors in SU(3) Chiral Perturbation Theory

Abstract

The scalar form factors for the pions and kaons are calculated in SU(3) Chiral Perturbation Theory at order $p^6$, in the isospin limit $m_u=m_d=\hat{m}$. We find in general sizable corrections of $\mathcal{O}(p^6)$. We use our results to obtain results on the $1/N_c$ suppressed low energy constants $L_4^r$ and $L_6^r$ as well as on two $\mathcal{O}(p^6)$ low energy constants. We present some numerical results for masses and decay constants as well. We derive a relation for the scalar form factors analogous to Sirlin's relation for vector form factors.

35 pages, references added, discussion of numerical results extended

References in corpus (4)

• $K_{\ell 3}$ decays in Chiral Perturbation Theory
• High statistics measurement of Ke4 decay properties
• Meson resonances, large N_c and chiral symmetry
• QCD Short-distance Constraints and Hadronic Approximations

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