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[{"key": "dc.contributor.advisor", "value": "M\u00e4ntysaari, Heikki", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Karhunen, Mikko", "language": "", "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2025-01-27T07:18:55Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2025-01-27T07:18:55Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2025", "language": "", "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/99785", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "T\u00e4ss\u00e4 ty\u00f6ss\u00e4 sis\u00e4llytet\u00e4\u00e4n onnistuneesti korreloituneet virheet Bayesilaiseen p\u00e4\u00e4ttelyyn erityisesti kvanttiv\u00e4ridynamiikan (QCD) ja suurienergisten syvien ep\u00e4elastisten elektroni--protoni-t\u00f6rm\u00e4ysten kontekstissa, joita on mitattu DESY:n HERA-hiukkaskiihdyttimell\u00e4. Bayesilaisen l\u00e4hestymistavan avulla luomme moniulotteisia posterior-todenn\u00e4k\u00f6isyysjakaumia eri QCD-mallien parametreille. Jakaumat tuovat esiin parametrien v\u00e4liset korrelaatiot ja niiden ep\u00e4varmuudet sek\u00e4 mahdollistavat niiden hy\u00f6dynt\u00e4misen uusissa laskuissa. Tuloksemme osoittavat, ett\u00e4 kokeellisen datan korreloituneet ep\u00e4varmuudet voivat vaikuttaa merkitt\u00e4v\u00e4sti malliparametrien posterior-jakaumiin ja parhaisiin sovituksiin.\n\nTulkitsemme elektroni--protoni-t\u00f6rm\u00e4ykset dipolikuvassa, jossa elektroni emittoi virtuaalisen fotonin, joka fluktuoi kvarkki--antikvarkki pariksi eli dipoliksi, joka lopulta vuorovaikuttaa levossa olevan protonin kanssa vahvalla vuorovaikutuksella. Tutkitut dipolimallit olivat Golec-Biernatin ja W\u00fcsthofin (GBW) malli sek\u00e4 t\u00f6rm\u00e4ysparametrista riippuvainen saturaatiomalli (IPsat), jotka kuvaavat gluoni saturaatiota korkeissa partonitiheyden alueissa. Kaikilla sovelletuilla malleilla saatiin onnistunut kuvaus HERA:n vaikutusaladatasta, mutta charmihiukkastuottodatan lis\u00e4\u00e4minen heikensi GBW-mallin suorituskyky\u00e4 molempien datasetien yht\u00e4aikaisessa kuvaamisessa.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "This thesis presents a framework to implement correlated uncertainties in Bayesian inference, specifically in the context of quantum chromodynamics (QCD) and high-energy deep inelastic electron-proton collisions from DESY's HERA particle accelerator. With Bayesian inference, we can determine multidimensional posterior probability distributions for the non-perturbative parameters describing the proton high-energy structure. The distributions reveal the correlations and uncertainties of the parameters in a model and enables one to propagate them to new calculations. Our results reveal that including correlated uncertainties from experimental data can have a significant effect on the Bayesian posterior distributions and best fits for model parameters.\n\nWe describe the electron-proton collisions in the dipole picture, where the electron emits a high momentum virtual photon $\\gamma^*$ that fluctuates into a quark-antiquark pair (dipole), which in turn interacts with the proton at rest via strong interaction. The applied models to describe the dipole-proton scattering were the Golec-Biernat and W\u00fcsthof (GBW) model and the impact parameter dependent saturation (IPsat) model, that describe the gluon saturation phenomena in the high parton density region. A successful description of the inclusive HERA cross section data is obtained with all applied models. However, upon including charm production cross section data, we observed a decline in GBW's performance to describe both datasets simultaneously.", "language": "en", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Paivi Vuorio (paelvuor@jyu.fi) on 2025-01-27T07:18:50Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2025-01-27T07:18:55Z (GMT). No. of bitstreams: 0\n Previous issue date: 2025", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "74", "language": "", "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.language.iso", "value": "eng", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "dipole picture", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "deep inelastic scattering", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "correlated uncertainties", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "Bayesian inference", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Correlated uncertainties in Bayesian inference", "language": "", "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "master thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-202501271546", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Master\u2019s thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu -tutkielma", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Matemaattis-luonnontieteellinen tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Sciences", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Fysiikan laitos", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Department of Physics", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Teoreettinen fysiikka", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Theoretical Physics", "language": "en", "element": "subject", 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"qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "Markovin ketjut", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "fysiikka", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "alkeishiukkaset", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "mallintaminen", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "kvanttiv\u00e4ridynamiikka", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "ep\u00e4varmuus", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "particle physics", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": 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