Analytical solution of ttbar dilepton equations

Abstract

The top quark antiquark production system in the dilepton decay channel is described by a set of equations which is nonlinear in the unknown neutrino momenta. Its most precise and least time consuming solution is of major importance for measurements of top quark properties like the top quark mass and $t\bar{t}$ spin correlations. The initial system of equations can be transformed into two polynomial equations with two unknowns by means of elementary algebraic operations. These two polynomials of multidegree two can be reduced to one univariate polynomial of degree four by means of resultants. The obtained quartic equation is solved analytically.

8 pages, 4 figures. Added neutrino masses to system of equations. This can be exploited in search for new physics with the same decay topology including invisible massive particles

References in corpus (3)

• High-Energy-Physics Event Generation with PYTHIA 6.1
• Investigation of top mass measurements with the ATLAS detector at LHC
• Algebraic approach to solve $t\bar{t}$ dilepton equations

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