Journal of High Energy Physics

, 2011:140 | Cite as

Polynomials, Riemann surfaces, and reconstructing missing-energy events

  • Ben Gripaios
  • Kazuki Sakurai
  • Bryan Webber
Open Access


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 τ leptons.


Hadronic Colliders Beyond Standard Model 


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Copyright information

© The Author(s) 2011

Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Authors and Affiliations

  1. 1.CERN PH-THGeneva 23Switzerland
  2. 2.Cavendish LaboratoryUniversity of CambridgeCambridgeU.K.
  3. 3.Department of Applied Mathematics and Theoretical PhysicsUniversity of CambridgeCambridgeU.K.

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