A once-subtracted Khuri-Treiman analysis describes KLOE phi to 3pi and phi to pi0 gamma* data simultaneously, with a fitted subtraction constant near the sum-rule value.
Study of the phi-pi0 transition form factor
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abstract
Recently the BaBar Collaboration published new data on the cross section for the annihilation e+e- -> phi pi0, obtained using the initial state radiation technique at a center of mass energy of 10.6 GeV. Such a process represents an interesting test bed for the quark model. Indeed, since the phi-pi0 production via e+e- annihilation proceeds through a mechanism which violates the Okubo-Zweig-Iizuka rule, the corresponding cross section could be characterized by contributions from non-qqbar bound states, like hybrids or tetraquarks. The phi-pi0 cross section is analyzed in connection with other data coming from different processes, that involve the same mesons, using a method which implements the analyticity in the phi-pi0 transition form factor by means of a dispersion relation procedure.
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$\phi \to 3\pi$ and $\phi\pi^{0}$ transition form factor from Khuri-Treiman equations
A once-subtracted Khuri-Treiman analysis describes KLOE phi to 3pi and phi to pi0 gamma* data simultaneously, with a fitted subtraction constant near the sum-rule value.