A Complete Solution Classification and Unified Algorithmic Treatment for

 the One- and Two-Step Asymmetric S-Transverse Mass (MT2) Event Scale

 Statistic

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Abstract

The MT2 or "s-transverse mass", statistic was developed to cope with the difficulty of associating a parent mass scale with a missing transverse energy signature, given that models of new physics generally predict production of escaping particles in pairs, while collider experiments are sensitive to just a single vector sum over all sources of missing transverse momentum. This document focuses on the generalized extension of that statistic to asymmetric one- and two-step decay chains, with arbitrary child particle masses and upstream missing transverse momentum. It provides a unified theoretical formulation, complete solution classification, taxonomy of critical points, and technical algorithmic prescription for treatment of the MT2 event scale. An implementation of the described algorithm is available for download, and is also a deployable component of the author's fully-featured selection cut software package AEACuS (Algorithmic Event Arbiter and Cut Selector).

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m_T2 : the truth behind the glamour

Alan Barr, Christopher Lester, Phil Stephens … (2003)

We present the kinematic variable, m_T2, which is in some ways similar to the more familiar `transverse-mass', but which can be used in events where two or more particles have escaped detection. We define this variable and describe the event topologies to which it applies, then present some of its mathematical properties. We then briefly discuss two case studies which show how m_T2 is vital when reconstructing the masses of supersymmetric particles in mSUGRA-like and AMSB-like scenarios at the Large Hadron Collider.

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The Golden Point of No-Scale and No-Parameter \({\cal F}\)-SU(5)

Dimitri Nanopoulos, Tianjun Li, James A. Maxin … (2010)

The \({\cal F}\)-lipped \(SU(5)\times U(1)_X\) Grand Unified Theory (GUT) supplemented by TeV-scale vector-like particles from \({\cal F}\)-theory, together dubbed \({\cal F}\)-SU(5), offers a natural multi-phase unification process which suggests an elegant implementation of the No-Scale Supergravity boundary conditions at the unification scale \(M_{\cal F} \simeq 7 \times 10^{17}\) GeV. Enforcing the No-Scale boundary conditions, including \(B_\mu(M_{\cal F})=0\) on the Higgs bilinear soft term, with the precision 7-year WMAP value on the dark matter relic density isolates a highly constrained "golden point" located near \(M_{1/2} = 455\) GeV and \(\tan \beta = 15\) in the \(\tan\beta-M_{1/2}\) plane, which simultaneously satisfies all known experiments, and moreover corresponds to an imminently observable proton decay rate. Because the universal gaugino mass is actually determined from established low energy data via Renormalization Group Equation (RGE) running, there are no surviving arbitrary scale parameters in the present model.

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No-Scale F-SU(5) in the Light of LHC, Planck and XENON

James A. Maxin, Joel Walker, Dimitri Nanopoulos … (2013)

We take stock of the No-Scale F-SU(5) model's experimental status and prospects in the light of results from LHC, Planck, and XENON100. Given that no conclusive evidence for light Supersymmetry (SUSY) has emerged from the 7, 8 TeV collider searches, the present work is focused on exploring and clarifying the precise nature of the high-mass cutoff enforced on this model at the point where the stau and neutralino mass degeneracy becomes so tight that cold dark matter relic density observations cannot be satisfied. This hard upper boundary on the model's mass scale constitutes a top-down theoretical mandate for a comparatively light (and testable) SUSY spectrum which does not excessively stress natural resolution of the gauge hierarchy problem. The overlap between the resulting model boundaries and the expected sensitivities of the future 14 TeV LHC and XENON 1-Ton direct detection SUSY / dark matter experiments is described.