Measurement of the Top Quark Mass using Dilepton Events and a Neutrino Weighting Algorithm with the D0 Experiment at the Tevatron (Run II)

A review of the mass measurement techniques proposed for the Large Hadron Collider

“…Not all "approximate reconstructions" are motivated by edges of phase space -an alternative approach is to construct variables from the kinematic configuration which has the greatest likelihood, or from a weighted average of possible configurations, perhaps weighted by a prior motivated by a Monte Carlo simulation. This approach has been employed in template-based measurements of the top quark mass in the di-leptonic channel at the Tevatron [183][184][185][186][187][188][189].…”

Estimating a signal in the presence of an unknown background

“…Cranmer [42] presents a general discussion of KDE and suggests using the boundary kernel method or the reflection method in case of a boundary. Adelman [43] and Meyer [44] are two examples of the implementation of the boundary kernel method in a HEP analysis. Our solution to the boundary problem, though, is more generally applicable and easier to use.…”

Measurement of the associated production of a vector boson (W, Z) and top quark pair in the opposite sign dilepton channel with pp collisions at √s = 8 TeV with the ATLAS detector

“…x and E miss y in the kinematic equations. With these assumptions, the kinematic system is constrained and the kinematic equations are now solvable [174]. The neutrino momentum is obtained from solving a quadratic equation.…”