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master's thesis
Mjerenje mase Higgsovog bozona u kanalu raspada na četiri miona s CMS eksperimentom u LHC-u
2020. urn:nbn:hr:166:223823
Ivas, Leo
University of Split
University of Split, Faculty of science
Department of Physics

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Ivas, L. (2020). Mjerenje mase Higgsovog bozona u kanalu raspada na četiri miona s CMS eksperimentom u LHC-u (Master's thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:223823

Ivas, Leo. "Mjerenje mase Higgsovog bozona u kanalu raspada na četiri miona s CMS eksperimentom u LHC-u." Master's thesis, University of Split, University of Split, Faculty of science, 2020. https://urn.nsk.hr/urn:nbn:hr:166:223823

Ivas, Leo. "Mjerenje mase Higgsovog bozona u kanalu raspada na četiri miona s CMS eksperimentom u LHC-u." Master's thesis, University of Split, University of Split, Faculty of science, 2020. https://urn.nsk.hr/urn:nbn:hr:166:223823

Ivas, L. (2020). 'Mjerenje mase Higgsovog bozona u kanalu raspada na četiri miona s CMS eksperimentom u LHC-u', Master's thesis, University of Split, University of Split, Faculty of science, accessed 27 May 2022, https://urn.nsk.hr/urn:nbn:hr:166:223823

Ivas L. Mjerenje mase Higgsovog bozona u kanalu raspada na četiri miona s CMS eksperimentom u LHC-u [Master's thesis]. Split: University of Split, University of Split, Faculty of science; 2020 [cited 2022 May 27] Available at: https://urn.nsk.hr/urn:nbn:hr:166:223823

L. Ivas, "Mjerenje mase Higgsovog bozona u kanalu raspada na četiri miona s CMS eksperimentom u LHC-u", Master's thesis, University of Split, University of Split, Faculty of science, Split, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:166:223823

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Metadata
TitleMjerenje mase Higgsovog bozona u kanalu raspada na četiri miona s CMS eksperimentom u LHC-u
Title (english)Hoggs boson mass measurement in four muon decay channel with CMS experiment in LHC
AuthorLeo Ivas
MentorToni Šćulac (mentor)
Committee memberToni Šćulac (predsjednik povjerenstva)
Committee memberMarko Kovač (član povjerenstva)
Committee memberIvica Puljak (član povjerenstva)
GranterUniversity of Split
University of Split, Faculty of science
(Department of Physics)
Split
Defense date and country2020-09-14, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Computing
Abstract
U ovom diplomskom radu napravljen je pregled teorije standardnog modela u kojem smo pobliže opisali njegovu strukturu, a potom i objasnili ulogu elementarnih čestica. Potom smo dali matematički opis teorije preko grupa simetrije i opisali međudjelovanje jake, slabe i elektromagnetske sile preko baždarnih Lagrangiana. U kratkim crtama smo opisali osnovne mehanizme nastanka i raspada Higgsovog bozona od kojih smo neke koristili u daljnjoj analizi. Dotakli smo se i samog CERN-a i LHC-a, te opisali osnovne algoritme rekonstrukcije raspadnutih čestica, čije produkte možemo detektirati. Kako teorija SM-a ne predviđa masu Higgsovog bozona, morali smo se koristiti statističkom analizom obrade podataka kako bi iščitali istu. Za najpribližnije određivanje prave vrijednosti mase Higgsovog bozona koristili smo se maximum likelihood metodom, a alat koji nam je pomogao u prilagođavanju podataka na funkciju i grafičko prezentiranje rezultata je bio programski paket RooFit. Prema teoriji SM-a konstruirali smo double Crystal ball funkciju, koja se u konačnici pokazala jako dobro prilikom uspoređivanja s pravim podatcima. Konačni dobiveni rezultat za masu Higgsovog bozona je \(m^{4µ}_ H = 124,96 ± 0,17 (stat.)^{+0,27}_{−0,28} (sist.)\) GeV, a usporedbom tog rezultata s onima iz CERN-a vidimo slaganje unutar pogreške.
Abstract (english)
This thesis first presents an overview of the standard model (SM), describing its structure in more detail before explaining the role of elementary particles. Afterwards, a mathematical description of the symmetry group theory is given and followed up with a description of the strong, weak, and electromagnetic interactions described by corresponding Lagrangians. The basic mechanisms of the production and decay of the Higgs boson is also described, giving accent to the ones used in the further analysis. Furthermore, CERN and the LHC are mentioned and basic algorithms for the particle reconstruction are described. Since the SM theory does not predict the mass of the Higgs boson, a statistical analysis of the data is performed to extract the measured value. In particular, a maximum likelihood method is exploited and the tool used to perform the actual analysis and present the graphical results was the RooFit software package. To properly describe simulated data we constructed a double Crystall ball function. The final result obtained for the mass of the Higgs boson was found to be \(m^{4µ}_ H = 124,96 ± 0,17 (stat.)^{+0,27}_{−0,28} (syst.)\) GeV and when compared with previous results from CERN it was found to be in an agreement within the measurement uncertainty.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:223823
Study programmeTitle: Physics; specializations in: major in teaching, major in Astrophysics, major in Biophysics, major in Enviromental physics, major in Computational physics, major in Astrophysics and physics of elemental particles
Course: major in Computational physics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra fizike (magistar/magistra fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence Attribution 4.0 International (CC BY 4.0) icon
Created on2021-02-01 10:52:05