Polynomials, Riemann surfaces, and reconstructing missing-energy events

Details Polynomials, Riemann surfaces, and reconstructing missing-energy events Polynomials, Riemann surfaces, and reconstructing missing-energy events

2011-03-17

arxiv.org/abs/1103.3438v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages, 6 figures; version accepted for publication, with discussion of Higgs to tau tau decay

Scientific paper

We consider the problem of reconstructing energies, momenta, and masses in collider events with missing energy, along with the complications introduced by combinatorial ambiguities and measurement errors. Typically, one reconstructs more than one value and we show how the wrong values may be correlated with the right ones. The problem has a natural formulation in terms of the theory of Riemann surfaces. We discuss examples including top quark decays in the Standard Model (relevant for top quark mass measurements and tests of spin correlation), cascade decays in models of new physics containing dark matter candidates, decays of third-generation leptoquarks in composite models of electroweak symmetry breaking, and Higgs boson decay into two tau leptons.

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