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| In [[Grand unification theory|grand unified theories]] of the SU(5) or SO(10) type, there is a mass relation predicted between the [[electron]] and the [[down quark]], the [[muon]] and the [[strange quark]] and the [[tau lepton]] and the [[bottom quark]] called the '''Georgi–Jarlskog mass relations'''. The relations were formulated by [[Howard Georgi]] and [[Cecilia Jarlskog]].<ref>Georgi H., Jarlskog C. [http://dx.doi.org/10.1016/0370-2693(79)90842-6 A new lepton-quark mass relation in a unified theory] (1979) Physics Letters B, 86 (3-4), pp. 297-300.</ref>
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| At GUT scale, these are sometimes quoted as:
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| :<math>m_e \approx \frac{1}{3} m_d</math>
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| :<math>m_{\mu} \approx 3 m_s</math>
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| :<math>m_{\tau} \approx m_b</math>
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| and sometimes as:
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| :<math>\frac{m_d}{m_s} \approx 9 \frac{m_e}{m_\mu}</math>
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| :<math>\frac{m_s}{m_b} \approx \frac{1}{3} \frac{m_\mu}{m_\tau}</math>
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| {| class="wikitable" style="margin:0 0 1em 1em;"
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| |+Current values for Lepton and Quark masses
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| |-
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| ! Symbol
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| ! Description
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| ! Renormalization<br /> scheme (point)
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| ! Value
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| |-
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| |''m''<sub>e</sub>
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| |Electron mass
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| |511 keV
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| |-
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| |''m''<sub>d</sub>
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| |Down quark mass
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| |''μ''<sub>{{overline|MS}}</sub> = 2 GeV
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| |4.4 MeV
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| |-
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| |''m''<sub>u</sub>
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| |Up quark mass
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| |''μ''<sub>[[MSbar scheme|{{overline|MS}}]]</sub> = 2 GeV
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| |1.9 MeV
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| |-
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| |''m''<sub>μ</sub>
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| |Muon mass
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| |105.7 MeV
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| |-
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| |''m''<sub>s</sub>
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| |Strange quark mass
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| |''μ''<sub>{{overline|MS}}</sub> = 2 GeV
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| |87 MeV
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| |-
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| |''m''<sub>c</sub>
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| |Charm quark mass
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| |''μ''<sub>{{overline|MS}}</sub> = ''m''<sub>c</sub>
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| |1.32 GeV
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| |-
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| |''m''<sub>τ</sub>
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| |Tau mass
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| |1.78 GeV
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| |-
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| |''m''<sub>b</sub>
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| |Bottom quark mass
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| |''μ''<sub>{{overline|MS}}</sub> = ''m''<sub>b</sub>
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| |4.24 GeV
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| |-
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| |''m''<sub>t</sub>
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| |Top quark mass
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| |[[On-shell scheme]]
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| |172.7 GeV
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| |}
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| ==References==
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| <references/>
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| {{DEFAULTSORT:Georgi-Jarlskog mass relation}}
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| [[Category:Particle physics]]
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| {{particle-stub}}
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Revision as of 17:28, 5 February 2014
40 year-old Paediatrician Avery Crosser from Barrie, enjoys to spend time telescopes, property developers buying house in singapore singapore and creating dollhouses. Recommends that you just go to Ajanta Caves.