Abstract
An M T2 calculation algorithm is described. It is shown to achieve better precision than the fastest and most popular existing bisection-based methods. Most importantly, it is also the first algorithm to be able to reliably calculate asymmetric M T2 to machine-precision, at speeds comparable to the fastest commonly used symmetric calculators.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
C.G. Lester and D.J. Summers, Measuring masses of semiinvisibly decaying particles pair produced at hadron colliders, Phys. Lett. B 463 (1999) 99 [hep-ph/9906349] [INSPIRE].
A.J. Barr, B. Gripaios and C.G. Lester, Transverse masses and kinematic constraints: from the boundary to the crease, JHEP 11 (2009) 096 [arXiv:0908.3779] [INSPIRE].
P. Konar, K. Kong, K.T. Matchev and M. Park, Dark Matter Particle Spectroscopy at the LHC: Generalizing M(T2) to Asymmetric Event Topologies, JHEP 04 (2010) 086 [arXiv:0911.4126] [INSPIRE].
Y. Bai, H.-C. Cheng, J. Gallicchio and J. Gu, Stop the Top Background of the Stop Search, JHEP 07 (2012) 110 [arXiv:1203.4813] [INSPIRE].
ATLAS collaboration, Search for top squark pair production in final states with one isolated lepton, jets and missing transverse momentum in \( \sqrt{s} \) =8 TeV pp collisions with the ATLAS detector, JHEP 11 (2014) 118 [arXiv:1407.0583] [INSPIRE].
A.J. Barr and C.G. Lester, Oxbridge stransverse mass library, http://www.hep.phy.cam.ac.uk/lester/mt2/index.html.
H.-C. Cheng and Z. Han, Minimal Kinematic Constraints and M T2, JHEP 12 (2008) 063 [arXiv:0810.5178] [INSPIRE].
H.-C. Cheng and Z. Han, UCD stransverse mass library, http://particle.physics.ucdavis.edu/hefti/projects/doku.php?id=wimpmass.
J.W. Walker, A complete solution classification and unified algorithmic treatment for the one- and two-step asymmetric S-transverse mass \( {\tilde{M}}_{\mathrm{T}2} \) event scale statistic, JHEP 08 (2014) 155 [arXiv:1311.6219] [INSPIRE].
R. Brun and F. Rademakers, ROOT - An Object Oriented Data Analysis Framework, Nucl. Inst. and Meth. in Phys. Res. A 389 (1997) 81.
F. Etayo, L. Gonzalez-Vega and N. del Rio, A new approach to characterizing the relative position of two ellipses depending on one parameter, Comput. Aided Geom. Des. 23 (2006) 324.
G. Hughes and M. Chraibi, Calculating ellipse overlap areas, Comput. Vis. Sci. 15 (2012) 291.
W.S. Cho, K. Choi, Y.G. Kim and C.B. Park, Measuring superparticle masses at hadron collider using the transverse mass kink, JHEP 02 (2008) 035 [arXiv:0711.4526] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1411.4312
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Lester, C.G., Nachman, B. Bisection-based asymmetric M T2 computation: a higher precision calculator than existing symmetric methods. J. High Energ. Phys. 2015, 100 (2015). https://doi.org/10.1007/JHEP03(2015)100
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP03(2015)100