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We determine the sensitivity to neutrino oscillation parameters from a studyof atmospheric neutrinos in a magnetised detector such as the ICAL at theproposed India-based Neutrino Observatory. In such a detector that can {\emseparately} count $\nu_\mu$ and $\overline{\nu}_\mu$-induced events, therelatively smaller (about 5\%) uncertainties on the neutrino--anti-neutrinoflux ratios translate to a constraint in the $\chi^2$ analysis that results ina significant improvement in the precision with which neutrino oscillationparameters such as $\sin^2\theta_{23}$ can be determined. Such an effect isunique to all magnetisable detectors and constitutes a great advantage indetermining neutrino oscillation parameters using such detectors. Such a studyhas been performed for the first time here. Along with an increase in thekinematic range compared to earlier analyses, this results in sensitivities tooscillation parameters in the 2--3 sector that are comparable to or better thanthose from accelerator experiments where the fluxes are significantly higher.For example, the $1\sigma$ precisions on $\sin^2\theta_{23}$ and$|\Delta{m^2_{32(31)}}|$ achievable for 500 kTon yr exposure of ICAL are$\sim9\%$ and $\sim2.5\%$ respectively for both normal and invertedhierarchies. The mass hierarchy sensitivity achievable with this combinationwhen the true hierarchy is normal (inverted) for the same exposure is$\Delta\chi^2\approx8.5$ ($\Delta\chi^2\approx9.5$).

Pinning down neutrino oscillation parameters in the 2-3 sector with a mgnetised atmospheric neutrino detector: a new study