Finite temperature pion vector form factors in Chiral Perturbation Theory

Details Finite temperature pion vector form factors in Chiral Perturbation Theory Finite temperature pion vector form factors in Chiral Perturbation Theory

2004-05-27

arxiv.org/abs/hep-ph/0405273v2

Phys.Lett.B606:351-360,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 4 figures, final version to appear in Phys.Lett.B, added references and comments, abstract changed

Scientific paper

10.1016/j.physletb.2004.12.008

We discuss the thermal behaviour of the pion vector form factors and calculate them in one-loop Chiral Perturbation Theory. The perturbative result is used to analyze the $T$-dependent electromagnetic pion charge radius, obtaining a rough estimate of the deconfinement critical temperature. Imposing thermal unitarity, we generate the $\rho$ resonance pole for the form factor in the center of mass frame. The $\rho$ peak height in the modulus of the form factor decreases for increasing temperature, while its width increases and the peak position is slightly shifted downwards for $T\simeq$ 150 MeV. These results point in the direction suggested by many analysis of dilepton production data in relativistic heavy ion collisions.

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