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Title: Guide to transverse projections and mass-constraining variables

Abstract

This paper seeks to demonstrate that many of the existing mass-measurement variables proposed for hadron colliders (m{sub T}, m{sub eff}, m{sub T2}, missing p-vector{sub T}, h{sub T}, {radical}(s-circumflex){sub min}, etc.) are far more closely related to each other than is widely appreciated, and indeed can all be viewed as a common mass-bound specialized for a variety of purposes. A consequence of this is that one may understand better the strengths and weaknesses of each variable, and the circumstances in which each can be used to best effect. In order to achieve this, we find it necessary first to revisit the seemingly empty and infertile wilderness populated by the subscript 'T' (as in 'pe{sub T}') in order to remind ourselves what this process of transversification actually means. We note that, far from being simple, transversification can mean quite different things to different people. Those readers who manage to battle through the barrage of transverse notation distinguishing 'T' from 'v' or or from 'o', and 'early projection' from 'late projection', will find their efforts rewarded towards the end of the paper with (i) a better understanding of how collider mass variables fit together, (ii) an appreciation of how these variables could bemore » generalized to search for things more complicated than supersymmetry, (iii) will depart with an aversion to thoughtless or naieve use of the so-called 'transverse methods' of any of the popular computer Lorentz-vector libraries, and (iv) will take care in their subsequent papers to be explicit about which of the 61 identified variants of the 'transverse mass' they are employing.« less

Authors:
 [1]; ;  [2];  [3];  [4]; ;  [5]
  1. Department of Physics, Denys Wilkinson Building, Keble Road, Oxford OX1 3RH (United Kingdom)
  2. Department of Physics, Cavendish Laboratory, JJ Thomson Avenue, Cambridge, CB3 0HE (United Kingdom)
  3. Theoretical Physics Group, Physical Research Laboratory, Ahmedabad, Gujarat - 380 009 (India)
  4. Department of Physics and Astronomy, University of Kansas, Lawrence, KA 66045 (United States)
  5. Department of Physics, University of Florida, Gainesville, Florida 32611 (United States)
Publication Date:
OSTI Identifier:
21608072
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 84; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.84.095031; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CERN LHC; HADRONS; MASS; SUPERSYMMETRY; TRANSVERSE ENERGY; ACCELERATORS; CYCLIC ACCELERATORS; ELEMENTARY PARTICLES; ENERGY; KINETIC ENERGY; STORAGE RINGS; SYMMETRY; SYNCHROTRONS

Citation Formats

Barr, A. J., Khoo, T. J., Lester, C. G., Konar, P., Kong, K., Matchev, K. T., and Park, M. Guide to transverse projections and mass-constraining variables. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.84.095031.
Barr, A. J., Khoo, T. J., Lester, C. G., Konar, P., Kong, K., Matchev, K. T., & Park, M. Guide to transverse projections and mass-constraining variables. United States. doi:10.1103/PHYSREVD.84.095031.
Barr, A. J., Khoo, T. J., Lester, C. G., Konar, P., Kong, K., Matchev, K. T., and Park, M. Tue . "Guide to transverse projections and mass-constraining variables". United States. doi:10.1103/PHYSREVD.84.095031.
@article{osti_21608072,
title = {Guide to transverse projections and mass-constraining variables},
author = {Barr, A. J. and Khoo, T. J. and Lester, C. G. and Konar, P. and Kong, K. and Matchev, K. T. and Park, M.},
abstractNote = {This paper seeks to demonstrate that many of the existing mass-measurement variables proposed for hadron colliders (m{sub T}, m{sub eff}, m{sub T2}, missing p-vector{sub T}, h{sub T}, {radical}(s-circumflex){sub min}, etc.) are far more closely related to each other than is widely appreciated, and indeed can all be viewed as a common mass-bound specialized for a variety of purposes. A consequence of this is that one may understand better the strengths and weaknesses of each variable, and the circumstances in which each can be used to best effect. In order to achieve this, we find it necessary first to revisit the seemingly empty and infertile wilderness populated by the subscript 'T' (as in 'pe{sub T}') in order to remind ourselves what this process of transversification actually means. We note that, far from being simple, transversification can mean quite different things to different people. Those readers who manage to battle through the barrage of transverse notation distinguishing 'T' from 'v' or or from 'o', and 'early projection' from 'late projection', will find their efforts rewarded towards the end of the paper with (i) a better understanding of how collider mass variables fit together, (ii) an appreciation of how these variables could be generalized to search for things more complicated than supersymmetry, (iii) will depart with an aversion to thoughtless or naieve use of the so-called 'transverse methods' of any of the popular computer Lorentz-vector libraries, and (iv) will take care in their subsequent papers to be explicit about which of the 61 identified variants of the 'transverse mass' they are employing.},
doi = {10.1103/PHYSREVD.84.095031},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 9,
volume = 84,
place = {United States},
year = {2011},
month = {11}
}