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Motivated by the $b \to c \tau \overline{\nu}$ anomalies, we studynon-resonant searches for new physics at the large hadron collider (LHC) byconsidering final states with an energetic and hadronically decaying $\tau$lepton, a $b$-jet and large missing transverse momentum ($pp \to \tau_h\overline{b} + E_{\rm T}^{\rm miss}$). Such searches can be useful to probe newphysics contributions to $b \to c \tau \overline{\nu}$. They are analyzed notonly within the dimension-six effective field theory (EFT) but also in explicitleptoquark (LQ) models with the LQ non-decoupled. The former is realized bytaking a limit of large LQ mass in the latter. It is clarified that the LHCsensitivity is sensitive to the LQ mass for $O(1)$ TeV even in the search of$pp \to \tau_h \overline{b} + E_{\rm T}^{\rm miss}$. Although the LQ modelsprovide a weaker sensitivity than the EFT limit, it is found that thenon-resonant search of $pp \to \tau_h \overline{b} + E_{\rm T}^{\rm miss}$ canimprove the sensitivity by $\approx 40\%$ versus a conventional mono-$\tau$search ($pp \to \tau_h + E_{\rm T}^{\rm miss}$) in the whole LQ mass region.Consequently, it is expected that most of the parameter regions suggested bythe $b \to c \tau \overline{\nu}$ anomalies can be probed at the HL-LHC. Also,it is shown that $\text{R}_2$ LQ scenario is accessible entirely once the LHCRun 2 data are analyzed. In addition, we discuss a charge selection of $\tau_h$to further suppress the standard-model background, and investigate the angularcorrelations among $b,\, \tau$ and the missing transverse momentum todiscriminate the LQ scenarios.

Non-resonant new physics search at the LHC for the $b \to c \tau \nu$ anomalies