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Anomalous magnetic moment (AMM) of quarks in presence of an external magneticfield has been explored using a nonlocal Nambu\textemdash Jona-Lasinio (NJL)model. Various strengths of AMM differing in orders of magnitude are used inthe literature. We explore them in our nonlocal framework to decide on theirstrength. We checked the validity of using constant AMM of quarks andinvestigate two different temperature and magnetic field dependent forms. Theforms are taken as the AMM being proportional to the i) meanfield and the ii)square of the meanfield. On comparison with the lattice data for both thecondensate averages and differences, it turns out that the second choice is themost suitable one, in such an effective model scenario. In the process, we alsokeep track of the phase diagram in the $T-eB$ plane arising from our modelcalculation. The outcome is reasonable as far as the lattice QCD result isconcerned.

Deciding on the anomalous magnetic moment of quarks in a framework of nonlocal NJL model