Abstract
We revisit mass determination techniques for the minimum symmetric event topology, namely X pair production followed by X → ℓN , where X and N are unknown particles with the masses to be measured, and N is an invisible particle, concentrating on the case where X is pair produced from a resonance. We consider separate scenarios, with different initial constraints on the invisible particle momenta, and present a systematic method to identify the kinematically allowed mass regions in the (m N , m X ) plane. These allowed regions exhibit a cusp structure at the true mass point, which is equivalent to the one observed in the m T2 endpoints in certain cases. By considering the boundary of the allowed mass region we systematically define kinematical variables which can be used in measuring the unknown masses, and find a new expression for the m T2 variable as well as its inverse. We explicitly apply our method to the case that X is pair produced from a resonance, and as a case study, we consider the process pp → A → \( {\tilde{\chi}}_1^{+}{\tilde{\chi}}_1^{-} \), followed by \( {\tilde{\chi}}_1^{\pm}\to {\ell}^{\pm}\;{\tilde{\nu}}_{\ell } \), in the Minimal Supersymmetric Standard Model and show that our method provides a precise measurement of the chargino and sneutrino masses, m X and m N , at 14 TeV LHC with 300 fb−1 luminosity.
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Harland-Lang, L.A., Kom, CH., Sakurai, K. et al. Sharpening m T2 cusps: the mass determination of semi-invisibly decaying particles from a resonance. J. High Energ. Phys. 2014, 175 (2014). https://doi.org/10.1007/JHEP06(2014)175
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DOI: https://doi.org/10.1007/JHEP06(2014)175