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Docta Complutense author Llanes Estrada, Felipe José author Feng Kun, Guo author Hanhart, Christoph 2023-06-20T03:35:10Z 2023-06-20T03:35:10Z 2009-07-06 0370-2693 10.1016/j.physletb.2009.05.052 https://hdl.handle.net/20.500.14352/43962 http://dx.doi.org/10.1016/j.physletb.2009.05.052 http://arxiv.org/abs/0812.3270http://www.sciencedirect.com We examine the quark mass dependence of the pion vector form factor, particularly the curvature (mean quartic radius). We focus our study on the consequences of assuming that the coupling constant of the ρ to pions, gρππ , is largely independent of the quark mass while the quark mass dependence of the ρ mass is given by recent lattice data. By employing the Omnès representation we can provide a very clean estimate for a certain combination of the curvature and the square radius, whose quark mass dependence could be determined from lattice computations. This study provides an independent access to the quark mass dependence of the ρππ coupling and in this way a non-trivial check of the systematics of chiral extrapolations. We also provide an improved value for the curvature for hysical values for the quark masses, namely (r(4)) = 0.73±0.09 fm(4) or equivalently c(V) = 4.00±0.50 GeV(−4). eng Quark mass dependence of the pion vector form factor journal article URL https://docta.ucm.es/bitstreams/bd7dc6c2-e69c-44f9-a8a3-4ad8ab409108/download File MD5 e625dc7a76456a4233bd029b917f955f 406118 application/pdf Llanes-Estrada_FJ19.pdf URL https://docta.ucm.es/bitstreams/2abc5e3c-9fd1-4bb9-92ed-3fa0a2a0cae4/download File MD5 5234f9e0cbeedce9b6bb4812419c9851 334109 application/pdf Llanes-Estrada_FJ19preprint.pdf URL https://docta.ucm.es/bitstreams/57a7c3a3-3ca3-4c91-96de-96975f30e74f/download File MD5 24fbcce32cb5a2e02e5a685d1bfed81c 38150 text/plain Llanes-Estrada_FJ19.pdf.txt URL https://docta.ucm.es/bitstreams/a6c5f126-4d79-43d9-9de1-e338d30a7185/download File MD5 cad773f9886f8989fad21c9218ee114f 40359 text/plain Llanes-Estrada_FJ19preprint.pdf.txt