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Measurement of SUSY masses via cascade decays for SPS 1a

Børge Kile Gjelsten1, David J. Miller2,3 and Per Osland4

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If R-parity conserving supersymmetry exists below the TeV-scale, new particles will be produced and decay in cascades at the LHC. The lightest supersymmetric particle will escape the detectors, thereby complicating the full reconstruction of the decay chains. In this paper we expand on existing methods for determining the masses of the particles in the cascade from endpoints of kinematical distributions. We perform scans in the mSUGRA parameter space to delimit the region where this method is applicable. From the examination of theoretical distributions for a wide selection of mass scenarios it is found that caution must be exerted when equating the theoretical endpoints with the experimentally obtainable ones. We provide analytic formulae for the masses in terms of the endpoints most readily available. Complications due to the composite nature of the endpoint expressions are discussed in relation to the detailed analysis of two points on the SPS 1a line. Finally we demonstrate how a Linear Collider measurement can improve dramatically on the precision of the masses obtained.


Keywords

Supersymmetry Phenomenology

Supergravity Models

PACS

11.30.Pb Supersymmetry

04.65.+e Supergravity

11.30.Er Charge conjugation, parity, time reversal, and other discrete symmetries

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 12 (December 2004)

Received 1 November 2004, accepted for publication 1 December 2004

Published 5 January 2005



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