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We study the impact of contact interactions involving two leptons (electronsor muons) and two $b$-quarks ($b \bar{b} \ell^+ \ell^-$) on the high-massdi-lepton region at the LHC. We consider different selections of $b$-tagged jetmultiplicities in the di-lepton final states: inclusive (no selection), 0, 1and 2 $b$-tagged jets, and show that the single $b$-jet selection significantlyimproves the sensitivity to New Physics (NP) in the form of the $b \bar{b}\ell^+ \ell^-$ contact term. We obtain a better sensitivity compared to thecurrently existing searches of NP in the di-lepton inclusive channel. Inparticular, the expected limits go beyond competitive bounds set by LEP (forelectrons) on the scale of NP, $\Lambda$, by a factor of $1.2-3.1$, dependingon the chirality structure of the operator. In addition, the expected limits on$\Lambda$, set by using a non-resonant LHC di-lepton inclusive search, areexpected to be improved by a factor of $1.3-1.4$ for both electrons and muons.

Searching for New Physics with $b\bar{b} \ell^+ \ell^-$ Contact Interactions