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In theoretical [[particle physics]], the '''non-commutative Standard Model''' (also known as Spectral Standard Model
In theoretical [[particle physics]], the '''non-commutative Standard Model''', mainly due to the French mathematician [[Alain Connes]], uses his [[noncommutative geometry]] to devise an extension of the [[Standard Model]] to include a modified form of [[general relativity]]. This unification implies a few constraints on the parameters of the Standard Model. Under an additional assumption, known as the "big desert" hypothesis, one of these constraints determines the mass of the [[Higgs boson]] to be around 170 [[GeV]], comfortably within the range of the [[Large Hadron Collider]]. Recent [[Tevatron]] experiments exclude a Higgs mass of 158 to 175 GeV at the 95% confidence level and recent experiments at [[CERN]] suggest a Higgs mass of between 125 GeV and 127 GeV.<ref name="CERN March 2013">{{cite web|last=Pralavorio|first=Corinne|title=New results indicate that new particle is a Higgs boson|url=http://home.web.cern.ch/about/updates/2013/03/new-results-indicate-new-particle-higgs-boson|accessdate=14 March 2013|date=2013-03-14|publisher=CERN}}</ref><ref name=nbc14032013>{{cite news |last=Bryner |first=Jeanna |title=Particle confirmed as Higgs boson |url=http://science.nbcnews.com/_news/2013/03/14/17311477-particle-confirmed-as-higgs-boson |date=14 March 2013 |work=[[NBC News]] |accessdate=14 March 2013}}</ref><ref name="Huffington 14 March 2013">{{cite news|url=http://www.huffingtonpost.com/2013/03/14/higgs-boson-discovery-confirmed-cern-large-hadron-collider_n_2874975.html?icid=maing-grid7%7Cmain5%7Cdl1%7Csec1_lnk2%26pLid%3D283596|title= Higgs Boson Discovery Confirmed After Physicists Review Large Hadron Collider Data at CERN|publisher= Huffington Post|accessdate=14 March 2013|date=14 March 2013}}</ref> However, the previously computed Higgs mass was found to have an error, and more recent calculations are in line with the measured Higgs mass.<ref>[https://arxiv.org/abs/1208.1030 Resilience of the Spectral Standard Model]</ref><ref>Asymptotic safety, hypergeometric functions, and the Higgs mass in spectral action models [https://arxiv.org/abs/1208.5023]</ref>▼
<ref name="resilience_spectral_standard_model">
{{cite journal | title = Resilience of the Spectral Standard Model
| last1 = Chamseddine | first1 = A.H.
| last2 = Connes | first2 = A.
| author1-link = Ali Chamseddine
| author2-link = Alain Connes
| journal = [[JHEP]]
| year = 2012
| doi = 10.1007/JHEP09(2012)104
| arxiv = 1208.1030
}}
</ref>
<ref name="emergence_pati_salam_unification">
{{cite journal | title = Beyond the Spectral Standard Model: Emergence of Pati-Salam Unification
| last1 = Chamseddine | first1 = A.H.
| last2 = Connes | first2 = A.
| last3 = van Suijlekom | first3 = W. D.
| author1-link = Ali Chamseddine
| author2-link = Alain Connes
| journal = [[JHEP]]
| year = 2013
| doi = 10.1007/JHEP11(2013)132
| arxiv = 1304.8050
}}
</ref>
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==See also==
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