We discuss the magnetic responses of vector meson masses based on the hiddenlocal symmetry (HLS) model in constant magnetic field, described by thelightest two-flavor system including the pion, rho and omega mesons in thespectrum. The effective masses influenced under the magnetic field areevaluated in a way of the derivative/chiral expansion established in the HLSmodel. At the leading order O(p^2) the g-factor of the charged rho meson isfixed to be 2, implying that the rho meson at this order is treated just like apoint-like spin-1 particle. Beyond the leading order, one finds anomalousmagnetic interactions of the charged rho meson, involving the anomalousmagnetic moment, which give corrections to the effective mass. It is thensuggested that up to O(p^4) the charged rho meson tends to become massless. Ofinterest is that nontrivial magnetic-dependence of neutral mesons emerges togive rise to the significant mixing among neutral mesons. Consequently, itleads to the dramatic enhancement of the omega meson mass, which is testable infuture lattice simulations. Corrections from terms beyond O(p^4) are alsoaddressed.
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