Mathematics, Statistics, and Physicshttp://hdl.handle.net/10057/1192018-10-21T06:40:27Z2018-10-21T06:40:27ZContinuation of solutions of elliptic systems from discrete sets with application to geometry of surfacesDomme, Cristina C.http://hdl.handle.net/10057/155582018-10-18T17:15:44Z2018-07-01T00:00:00ZContinuation of solutions of elliptic systems from discrete sets with application to geometry of surfaces
Domme, Cristina C.
We obtain new estimates of stability for continuation of solutions of elliptic inequali-
ties | ∂u|2 < = a|u|2 from finite discrete sets. For this we use Hormander's type of Carleman
estimates for ∂-bar with boundary terms and a special weight function equal to the linear com-bination of Green's functions with singularities at points where our function is given. To
estimate functions in a given domain we use not only the classical Blaschke partial sum Sn
but we also introduce a new sequence of numbers Mn which gives us better estimates in the
case of a finite number of observations.
Thesis (M.S.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics, and Physics
2018-07-01T00:00:00ZIncreasing stability for the inverse scattering source problem with many frequenciesEntekhabi, Mozhgan (Nora)http://hdl.handle.net/10057/155402018-10-18T16:04:35Z2018-07-01T00:00:00ZIncreasing stability for the inverse scattering source problem with many frequencies
Entekhabi, Mozhgan (Nora)
In mathematics and physics, the inverse scattering problem is the problem of determining
characteristics of an object, based on data of how it scatters incoming radiation or
particles. It is the inverse problem to the direct scattering problem, which is to determine
how radiation or particles are scattered based on the properties of the scatterer. The study of
the inverse scattering source problem in the frequency domain focuses on nding the source f
from the prescribed boundary condition, which is generally given as Cauchy data containing
both the solution on the boundary and its normal derivative. The result of this research has
direct application to antenna synthesis, biomedical and medical imaging and seismology
Thesis (Ph.D.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics and Physics
2018-07-01T00:00:00ZA comparative study of electroweak Higgs boson production at future Hadron CollidersChen, Tinghuahttp://hdl.handle.net/10057/155242018-10-18T19:02:29Z2018-07-01T00:00:00ZA comparative study of electroweak Higgs boson production at future Hadron Colliders
Chen, Tinghua
The discovery of the Higgs boson has opened the door to the next phase of exploration in particle physics. Since the Higgs boson was found in July 2012 at CERN's
Large Hadron Collider (LHC), many researches and experiments tried to measure its
properties, making processes involving Higgs production interesting and important in many different ways.
Monte Carlo simulations play an important role in studies of particle physics. They
generate theoretical predictions and can be compared with experimental data to test our
understanding of physics. With the arithmetic speed of super-computers increasing, we can
use computer programs to simulate combinations of next-to-leading order (NLO) matrix
elements and parton showers in Higgs production processes.
In this thesis, by using a Monte Carlo event generator named Herwig 7, Higgs plus two jet production processes have been simulated with two different matrix elements, HJets++ and VBFNLO. Higgs plus two jet production was analyzed at 14 TeV, 33 TeV, and 100 TeV. This project also computed the differential cross section at the leading order and next-to-leading order with matched parton showers. This research provides a comparative study of the electroweak Higgs boson at future colliders.
Thesis (M.S.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics, and Physics
2018-07-01T00:00:00ZStress testing the vector-boson-fusion approximation in multijet final statesCampanario, FranciscoFigy, Terrance M.Plaetzer, SimonRauch, MichaelSchichtel, PeterSjodahl, Malinhttp://hdl.handle.net/10057/154552018-09-07T16:12:49Z2018-08-22T00:00:00ZStress testing the vector-boson-fusion approximation in multijet final states
Campanario, Francisco; Figy, Terrance M.; Plaetzer, Simon; Rauch, Michael; Schichtel, Peter; Sjodahl, Malin
We consider electroweak Higgs plus three jets production at NLO QCD beyond strict VBF acceptance cuts. We investigate, for the first time, how accurate the VBF approximation is in these regions and within perturbative uncertainties by a detailed comparison of full and approximate calculations. We find that a rapidity gap between the tagging jets guarantees a good approximation, while an invariant mass cut alone is not sufficient, which needs to be confronted with experimental choices. We also find that a significant part of the QCD corrections can be attributed to Higgs-Strahlungs-type topologies.
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
2018-08-22T00:00:00Z