QCD determination of the magnetic field dependence of QCD and hadronic parameters

A set of four finite energy QCD sum rules are used to determine the magnetic field dependence of the sum of the up- and down-quark masses of QCD, (m(u) + m(d)), the pion decay constant f(pi), the pion mass m(pi), the gluon condensate, <alpha(s)G(2)>, and the squared energy threshold for the onset of perturbative QCD, s(0), related to the Polyakov loop of lattice QCD. As a first input we take the magnetic evolution of the chiral quark condensate from lattice QCD and/or Nambu-Jona-Lasinio results. As a second input we take three different possible conditions concerning the quark and pion masses.