Pion Form Factors in Holographic QCD

Details Pion Form Factors in Holographic QCD Pion Form Factors in Holographic QCD

2007-08-30

arxiv.org/abs/0708.4054v3

JHEP0801:027,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 2 figures, revised fits using consistent normalization of f_pi. References updated

Scientific paper

10.1088/1126-6708/2008/01/027

Using a holographic dual model of QCD, we compute the pion electromagnetic form factor F_pi(Q^2) in the spacelike momentum transfer region, as well as pion couplings to vector mesons g_rho^(n) pi pi. Spontaneous and explicit chiral symmetry breaking are intrinsic features of this particular holographic model. We consider variants with both ``hard-wall'' and ``soft-wall'' infrared cutoffs, and find that the F_pi(Q^2) data tend to lie closer to the hard-wall model predictions, although both are too shallow for large Q^2. By allowing the parameters of the soft-wall model (originally fixed by observables such as m_rho) to vary, one finds fits that tend to agree better with F_pi(Q^2). We also compute the pion charge radius for a variety of parameter choices, and use the values of f^(n)_rho, g_{rho^(n) pi pi} and m^(n)_rho to observe the saturation of F_pi(0) by rho poles.

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