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An extraordinary strong magnetic field, $eB_0 \approx 10^{18}$ Gauss, isexpected to be generated in non-central ultrarelativistic heavy ion collisionsand it is envisaged to induce several effects on hot QCD matter including thepossibility of local parity and local parity and charge conjugation symmetryviolations. A direct signature of such e.m. fields and a first quantitativemeasurement of its strength and lifetime are still missing. We point out thatboth the mean value of leptonic invariant mass of $Z^0$ boson, reconstructed byits decaying lepton pairs, and the relative width are modified in relativisticheavy ion collisions due to the presence of strong initial e.m. fields. Wepropose a measurement of the leptonic invariant mass of $Z^0$ as a novel probeof the strength of the $B_y$. Both shifts could be up to about few hundred MeVand are found to depend on the integral of $B_y$ over the time durationquadratically (approximate). Hence it provides a novel and clear probe ofelectromagnetic fields, which can be tested experimentally.

Modification of $Z^0$ leptonic invariant mass in ultrarelativistic heavy ion collisions as a measure of the electromagnetic field