Higgs mass predicted from the standard model with asymptotically safe gravity

Tässä Pro Gradu -tutkielmassa tavoitteena on ennustaa Higgsin bosonin massa ottaen lähtökohdaksi hiukkasfysiikan standardimalli, johon on kytketty gravitaatio ns. asymptoottisesti turvallisena teoriana. Ennusteen laskemiseksi selvitetään Higgsin bosonin itseiskytkennän ja neljän muun standardimallin...

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Main Author: Laulumaa, Laura
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Sciences, Fysiikan laitos, Department of Physics, University of Jyväskylä, Jyväskylän yliopisto
Format: Master's thesis
Language:eng
Published: 2016
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/49027
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author Laulumaa, Laura
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_facet Laulumaa, Laura Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto Laulumaa, Laura Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_sort Laulumaa, Laura
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description Tässä Pro Gradu -tutkielmassa tavoitteena on ennustaa Higgsin bosonin massa ottaen lähtökohdaksi hiukkasfysiikan standardimalli, johon on kytketty gravitaatio ns. asymptoottisesti turvallisena teoriana. Ennusteen laskemiseksi selvitetään Higgsin bosonin itseiskytkennän ja neljän muun standardimallin kytkinvakion juokseminen, eli kytkinvakioiden käyttäytyminen energiaskaalan funktiona, johtavassa kertaluvussa MS-skeemassa. Standardimallista saatuihin β-funktioihin lisätään asymptoottisesti turvallisen gravitaation antamat korjaukset suurilla energiaskaaloilla, jonka jälkeen β-funktioiden muodostama differentiaaliyhtälöryhmä ratkaistaan numeerisesti. Standardimallin osittainen äärellinen remormalisaatio matalilla energioilla tarvitaan, kun halutaan johtaa relaatio Higgsin itseiskytkennän MS-skeemassa saaman arvon ja fysikaalisten parametrien välille. Liittämällä kytkinvakioiden juoksemisesta saatu Higgsin itseiskyt- kennän arvo fysikaalisiin parametreihin, saadaan Higgsin itseiskytkennnälle ennuste λ ≈ 0,131, jota vastaava Higgsin massa on m ≈ 126 GeV. Laskettu tulos osuu hyvin lähelle vuonna 2012 CERN:ssä mitattua arvoa m ≈ 125 GeV, jota vastaa itseiskytkentä λ ≈ 0,13, kun otetaan huomioon, että tässä työssä laskut tehtiin vain johtavassa kertaluvussa. The aim of this thesis is to predict the Higgs boson mass from the Standard model of particle physics with gravity as an asymptotically safe theory. To reach this goal, the running of four standard model couplings in addition to the Higgs self-coupling is derived at one-loop level in the MS-scheme. Standard model β-functions are supplemented by asymptotically safe gravity corrections at very large energies, and differential equation group of β-functions is solved numerically. At low energies a partial finite renormalisation of the Standard Model is performed to derive the connection between the self-coupling in the MS-scheme and the physical, measurable parameters. Relating the value for the Higgs self-coupling given by the running of couplings to the physical one leads to a prediction λ ≈ 0.131 for the Higgs self-coupling which corresponds to a mass m ≈ 126 GeV. In 2012 at CERN the Higgs mass was measured to be m ≈ 125 GeV corresponding to the value of λ ≈ 0.13 for the self-coupling. The prediction got in this thesis is very close to the measured one when one takes into account that calculations were done only at one-loop level.
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spellingShingle Laulumaa, Laura Higgs mass predicted from the standard model with asymptotically safe gravity Higgs boson renormalisation asymptotic safety running of coupling Teoreettinen fysiikka Theoretical Physics 4024 Higgsin bosoni asymptootti hiukkasfysiikan standardimalli
title Higgs mass predicted from the standard model with asymptotically safe gravity
title_full Higgs mass predicted from the standard model with asymptotically safe gravity
title_fullStr Higgs mass predicted from the standard model with asymptotically safe gravity Higgs mass predicted from the standard model with asymptotically safe gravity
title_full_unstemmed Higgs mass predicted from the standard model with asymptotically safe gravity Higgs mass predicted from the standard model with asymptotically safe gravity
title_short Higgs mass predicted from the standard model with asymptotically safe gravity
title_sort higgs mass predicted from the standard model with asymptotically safe gravity
title_txtP Higgs mass predicted from the standard model with asymptotically safe gravity
topic Higgs boson renormalisation asymptotic safety running of coupling Teoreettinen fysiikka Theoretical Physics 4024 Higgsin bosoni asymptootti hiukkasfysiikan standardimalli
topic_facet 4024 Higgs boson Higgsin bosoni Teoreettinen fysiikka Theoretical Physics asymptootti asymptotic safety hiukkasfysiikan standardimalli renormalisation running of coupling
url https://jyx.jyu.fi/handle/123456789/49027 http://www.urn.fi/URN:NBN:fi:jyu-201603081791
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