Ananthanarayan, B (1998) The Low Energy Expansion for Pion-Pion Scattering and Crossing Symmetry in Dispersion Relations. [Preprint]
We show that a suitable setting for comparison of the low-energy representation for pion-pion scattering amplitudes, with dispersive representation for these amplitudes, is provided by certain manifestly crossing symmetric dispersion relations. We begin with a discussion of fixed-t dispersion relations and discuss the origin of crossing constraints that arise in this context when we consider resonance saturation with certain $l\geq 2$ states. We demonstrate that the approach advocated here does not require us to enforce such constraints. Our results are contrasted with those from fixed-t dispersion relations. We finally discuss the numerical import of our results.
|Additional Information:||Phys.Rev. D58 (1998) 036002|
|Department/Centre:||Division of Physical & Mathematical Sciences > Centre for Theoretical Studies|
|Date Deposited:||30 Jul 2004|
|Last Modified:||19 Sep 2010 04:13|
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