Constraining Form Factors with the Method of Unitarity Bounds

Abstract

The availability of a reliable bound on an integral involving the square of the modulus of a form factor on the unitarity cut allows one to constrain the form factor at points inside the analyticity domain and its shape parameters, and also to isolate domains on the real axis and in the complex energy plane where zeros are excluded. In this lecture note, we review the mathematical techniques of this formalism in its standard form, known as the method of unitarity bounds, and recent developments which allow us to include information on the phase and modulus along a part of the unitarity cut. We also provide a brief summary of some results that we have obtained in the recent past, which demonstrate the usefulness of the method for precision predictions on the form factors.

12 pages, 2 figures; Lecture given at the DAE-BRNS Workshop on Hadron Physics, Bhabha Atomic Research Centre, Mumbai, India, October 31-November 4, 2011, submitted to Proceedings

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Cited by in corpus (3)

• Constraints on the $\omega \pi$ form factor from analyticity and unitarity
• Model independent bounds on the modulus of the pion form factor on the unitarity cut below the $\omega \pi$ threshold
• The $K\pi$ form factors from Analyticity and Unitarity