Improved bounds on the radius and curvature of the K$ \pi$ scalar form factor and implications to low-energy theorems |
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Authors: | Gauhar Abbas and B Ananthanarayan |
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Institution: | (1) Centre for High Energy Physics, Indian Institute of Science, 560 012 Bangalore, India |
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Abstract: | We obtain stringent bounds in the 〈r
2
-c plane where these are the scalar radius and the curvature parameters of the scalar K
form factor, respectively, using analyticity and dispersion relation constraints, the knowledge of the form factor from the
well-known Callan-Treiman point , as well as at , which we call the second Callan-Treiman point. The central values of these parameters from a recent determination are accomodated
in the allowed region provided the higher loop corrections to the value of the form factor at the second Callan-Treiman point
reduce the one-loop result by about 3% with . Such a variation in magnitude at the second Callan-Treiman point yields 0.12 fm2
〈r
2
0.21 fm2and 0.56 GeV-4
c
1.47 GeV-4and a strong correlation between them. A smaller value of shifts both bounds to lower values. |
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Keywords: | PACS" target="_blank">PACS 11 55 Fv Dispersion relations 12 39 Fe Chiral Lagrangians |
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