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We address the problem of lattice light shifts in the Sr clock caused bymultipolar M1 and E2 atom-field interactions. We presented a simple butaccurate formula for the magnetic-dipole polarizability that takes into accountboth the positive and negative energy states contributions. We calculated thecontribution of negative energy states to the M1 polarizabilities of the clock1S0 and 3P0 states at the magic frequency. Taking these contributions intoaccount, we obtained good agreement with the experimental results, resolvingthe major discrepancy between the theory and the experiment

Contribution of negative-energy states to multipolar polarizabilities of the Sr optical lattice clock