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At the LHC, dileptonic events may turn up new physics interacting with quarksand leptons. The poster child for this scenario is a resonant $Z'$, muchanticipated in $\ell^+ \ell^-$ invariant mass spectra. However, angular spectraof dileptons may play an equal or stronger role in discovering a non-resonantspecies. This paper avails of their LHC measurements to corner the couplingsand masses of leptoquarks (LQs), that can mediate $q \bar{q} \rightarrow \ell^+\ell^-$ in the $t$-channel and dramatically alter Standard Model angularspectra. Also derived are constraints from alterations to $m_{\ell \ell}$distributions. These dilepton probes, exploiting the high rates and smalluncertainties of the Drell-Yan process, rival or outdo dedicated LHC searchesfor LQs in single and pair production modes. The couplings of LQs withelectronic interactions are best bound today by low-energy measurements ofatomic parity violation, but can be probed better by $\ell^+ \ell^-$measurements in the high luminosity runs of the LHC, with the angular spectraleading the way. This work also advocates the experimental presentation ofboost-invariant angular asymmetries that vanish in the SM.

Anticipating Non-Resonant New Physics in Dilepton Angular Spectra at the LHC