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doctoral thesis
Renormalization and Observables in the Standard Model and Beyond in Higher Orders of Perturbation Theory
Zagreb: University of Zagreb, Faculty of Science, 2022. urn:nbn:hr:217:427566
Mađor-Božinović, Marija
University of Zagreb
Faculty of Science
Department of Physics

Institutional repository: Repository of the Faculty of Science

Cite this document

Mađor Božinović, M. (2022). Renormalization and Observables in the Standard Model and Beyond in Higher Orders of Perturbation Theory (Doctoral thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:427566

Mađor Božinović, Marija. "Renormalization and Observables in the Standard Model and Beyond in Higher Orders of Perturbation Theory." Doctoral thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:427566

Mađor Božinović, Marija. "Renormalization and Observables in the Standard Model and Beyond in Higher Orders of Perturbation Theory." Doctoral thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:427566

Mađor Božinović, M. (2022). 'Renormalization and Observables in the Standard Model and Beyond in Higher Orders of Perturbation Theory', Doctoral thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:427566

Mađor Božinović M. Renormalization and Observables in the Standard Model and Beyond in Higher Orders of Perturbation Theory [Doctoral thesis]. Zagreb: University of Zagreb, Faculty of Science; 2022 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:427566

M. Mađor Božinović, "Renormalization and Observables in the Standard Model and Beyond in Higher Orders of Perturbation Theory", Doctoral thesis, University of Zagreb, Faculty of Science, Zagreb, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:217:427566

Metadata
TitleRenormalization and Observables in the Standard Model and Beyond in Higher Orders of Perturbation Theory
Title (croatian)Renormalizacija i opservable u standardnom modelu i izvan njega u višim redovima računa smetnje
AuthorMarija Mađor-Božinović
MentorAmon Ilakovac (mentor)
Committee memberKornelija Passek-Kumerički (predsjednik povjerenstva)
Committee memberAmon Ilakovac (član povjerenstva)
Committee memberIvica Friščić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2022-06-14, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Universal decimal classification
(UDC)		53 - Physics
Abstract
We study the application of the Breitenlohner–Maison–’t Hooft–Veltman (BMHV) scheme of Dimensional Regularization to the renormalization of massless chiral gauge theories; chiral Yang-Mills theory, and chiral Quantum Electrodynamics, being the main ingredients of the Standard Model, up to one and two-loop level, respectively. We focus on the counterterm structure specific to the BHMV scheme induced by the non-anticommuting Dirac γ_5 matrix and the breaking of the Becchi-Rouet-Stora-Tyutin (BRST) invariance. We find the singular counterterms and BRST symmetry restoring counterterms needed for the complete renormalization of the models. This study is based on the symmetry requirements coming from the Algebraic Renormalization and regularized Quantum Action Principle. We find the Renormalization Group Equations for the Yang-Mills model at the first order within this framework and compare the procedure with standard symmetry-invariant regularizations. For chiral Quantum Electrodynamics, we determine the full structure of symmetry-restoring counterterms up to the 2-loop level and find no discrepancy from the 1-loop level structures. The counterterms have interpretation in terms of restoration of Ward identities that play the role of the benchmark for this 2-loop study. Hence, we prove the correctness of results within this framework, what is the property of a self-consistent scheme. We impose future proposals for the application of the BMHV scheme to phenomenological studies.
Abstract (croatian)
Standardni model fizike elementarnih cestica toliko uspješno objašnjava strukturu materije da je već gotovo desetljećima duboko u tzv. eri preciznosti. Mjerljive opservable precizno se procjenjuju na temelju obrade sada već otprilike dvjesto petabajta dostupnih podataka iz velikih svjetskih sudarivača cestica. Preciznost koja se stalno povećava zahtijeva teorijski dobro postavljene proračune mjerljivih opservabli u visokim redovima računa smetnje. Teorijski izračuni ovih preciznih opservabli u velikoj su mjeri provedeni u dimenzionalnoj regularizaciji (DReg), regularizacijskoj shemi koja je dovela do revolucije u proračunima na visokim redovima. DReg čuva simetrije vektorskih teorija, uključujući Lorentzovu kovarijantnost, baždarnu i BRST invarijantnost i translacijske simetrije. Kada se primjeni na vektorski model, ova shema divergencije proizašle iz računa dijagrama s petljama izolira kao polove koje je moguće otkloniti uvođenjem lokalnih kontraclanova. Zbog svoje teorijske konzistentnosti, praktičnosti i korisnih svojstava dosegla je široku upotrebu u računima i implementirana u računalne kodove koji djelomično automatiziraju račune u višim redovima. ...
Keywords
Keywords (croatian)
Languageenglish
URN:NBNurn:nbn:hr:217:427566
Promotion2022
Study programmeTitle: Physics
Study programme type: university
Study level: postgraduate
Academic / professional title: doktor/doktorica znanosti, područje prirodnih znanosti, polje fizika (doktor/doktorica znanosti, područje prirodnih znanosti, polje fizika)
Type of resourceText
Extent161 str,
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2022-07-04 11:46:10