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DETERMINATION OF DARK MATTER MASS AT LEPTON COLLIDERS AND EXPERIMENTAL STUDIES IN TWO DIMENSIONAL TURBULENCE

Stefanus, (2014) DETERMINATION OF DARK MATTER MASS AT LEPTON COLLIDERS AND EXPERIMENTAL STUDIES IN TWO DIMENSIONAL TURBULENCE. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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Abstract

In Ch. 1 - 5 we present a study of antler decay in determining dark matter mass. It was shown that the cusps and endpoints in some kinematic distributions of the antler decay at the LHC can probe the masses of the parity-odd missing energy particles as well as the intermediate particles. We extend this study into the high energy e+e− (or more generally lepton) linear collider, which will provide unambiguous center of mass frame and energy. We found new and more powerful cusp structures of new kinematic observables, possible only at the International Linear Collider (ILC). As a benchmark scenario, we study e+e− → ˜l+˜l − → l+l− ˜χ01 ˜χ01 and e+e− → ˜χ+1 ˜χ−1 → j j j j ˜χ01
˜χ01 in the framework of the Minimal Supersymmetric
Standard Model.

Ch. 6 presents a new way to characterize turbulence through a search for conformal invariance in vorticity isolines of two-dimensional compressible turbulence. The conformal
invariance theory being tested here is related to the behavior of equilibrium systems near a critical point. This theory is associated with the work of L¨owner, Schramm and others and is usually referred to as Schramm-L¨owner Evolution (SLE). The system was exposed to several tests of SLE.

In Ch. 7 we introduce a photon correlation method for measuring components of the shear rate tensor in a turbulent soap film. The technique yields the mean shear rate s,
its standard deviation σ, and a simple mathematical transform of the probability density function P(s) of the shear rate itself.

Ch. 8 presents a computer algebra package to automatically generate particle physics Lagrangians based on group symmetries input by the user.

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Details

Item Type: University of Pittsburgh ETD
Status: Unpublished
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Stefanus, sts65@pitt.eduSTS65
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairHan, Taothan@pitt.eduTHAN
Committee MemberGoldburg, Waltergoldburg@pitt.eduGOLDBURG
Committee MemberFreitas, Ayresafreitas@pitt.eduAFREITAS
Committee MemberPaolone, VittorioVIPRES@pitt.eduVIPRES
Committee MemberCoalson, Robcoalson@pitt.eduCOALSON
Date: 25 September 2014
Date Type: Publication
Defense Date: 4 June 2014
Approval Date: 25 September 2014
Submission Date: 12 June 2014
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Number of Pages: 176
Institution: University of Pittsburgh
Schools and Programs: Dietrich School of Arts and Sciences > Physics
Degree: PhD - Doctor of Philosophy
Thesis Type: Doctoral Dissertation
Refereed: Yes
Uncontrolled Keywords: dark matter, collider, turbulence
Date Deposited: 25 Sep 2014 14:37
Last Modified: 14 Mar 2023 20:20
URI: http://d-scholarship.pitt.edu/id/eprint/21839

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