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Nuclear magnetic quadrupole moments (MQMs), like intrinsic electric dipolemoments of elementary particles, violate both parity and time-reversal symmetryand therefore probe physics beyond the Standard Model of particle physics. Wereport on accurate relativistic coupled cluster calculations of the nuclear MQMinteraction constants in BaF, YbF, BaOH, and YbOH. We elaborate on estimates ofthe uncertainty of our results. The implications of experiments searching fornonzero nuclear MQMs are discussed.

Enhanced $\mathcal{P,T}$-violating nuclear magnetic quadrupole moment effects in laser-coolable molecules