1,720,987 research outputs found
Direct solution of renormalization group equations of QCD in x-space: NLO implementations at leading twist
QCD at hadron colliders and in Ultra High Energy Cosmic Rays.
Comments: Ph.D.Thesis, defended on 2005, 19th July at Lecce University
Subjects: High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:hep-ph/0605241v2
In the first part of my thesis I am concerned with the phenomenology of DGLAP equations, and in particular I propose an algorithm to solve them numerically and discuss its implementation in a computer program. I also illustrate some applications of these studies, including a prediction for the total cross section for Higgs detection at the LHC and for study of the Drell-Yan process for the PAX experiment. In the second part of my thesis I analyze some characteristic patterns of cosmic ray showers in the atmosphere through theoretical modeling and computer simulations, with the main idea of looking for some signatures to discriminate between exotic and standard events. In particular my attention has been focused on decay events of mini black holes, the formation of which is predicted by theories with extra dimensions
An x-space analysis of evolution equations: Soffer's inequality and the nonforward evolution.
Cosmic ray signals from mini black holes in models with extra dimensions: an analytical/Monte Carlo study
NNLO logarithmic expansions and precise determinations of the neutral currents near the Z resonance at the LHC: the Drell-Yan case
Numerical analysis of the one-mode solutions in the Fermi-Pasta-Ulam system.
The stability of the one-mode nonlinear solutions of the Fermi-Pasta-Ulam b system is numerically investigated.
No external perturbation is considered for the one-mode exact analytical solutions, the only perturbation
being that introduced by computational errors in the numerical integration of motion equations. The
threshold energy for the excitation of the other normal modes and the dynamics of this excitation are studied
as a function of the parameter m characterizing the nonlinearity, the energy density e and the number N of
particles of the system. The results achieved confirm in part previous ones, obtained with a linear analysis of
the problem of the stability, and clarify the dynamics by which a one-mode exchanges energy with the other
modes with increasing energy density. In a range of energy density near the threshold value and for various
values of the number of particles N, the nonlinear one-mode exchanges energy with the other linear modes for
a very short time, immediately recovering all its initial energy. This sort of recurrence is very similar to Fermi
recurrences, even if in the Fermi recurrences the energy of the initially excited mode changes continuously and
only periodically recovers its initial value. A tentative explanation for this intermittent behavior, in terms of
Floquet’s theorem, is proposed. Preliminary results are also presented for the Fermi-Pasta-Ulam a system
which show that there is a stability threshold, for large N, independent of N
NNLO Evolution of the Pdf ’s and their Errors: Benchmarks and Predictions for Drell-Yan
The contribution belongs to a volume dedicated to the study of possible new physics signatures at the LHC and sponsored by INF
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