Mean Value Sum Rules and Test of Scale Breaking | Zendy

Keiichi Akama | Zendy

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Mean Value Sum Rules and Test of Scale Breaking

Author(s) -

Keiichi Akama

Publication year - 1975

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.53.1446

Subject(s) - physics , particle physics , scaling , sum rule in quantum mechanics , scale (ratio) , lepton , large hadron collider , deep inelastic scattering , neutrino , moment (physics) , value (mathematics) , function (biology) , order (exchange) , nuclear physics , scattering , inelastic scattering , statistics , quantum mechanics , quantum chromodynamics , mathematics , economics , geometry , finance , evolutionary biology , electron , biology

The author proposes sum rules which can be used for testing the scaling hypothesis and its powerlike breakdown in deep inelastic neutrino scattering. These sum rules are written in terms of the mean values of quantities determined solely by the outgoing leptons. By comparing with the latest CERN-Gargamelle data, they find that the Oth moment of structure function is still consistent with scaling. However, the 1st moment may have a scale breaking. In order to test such scale breaking more quantitatively, experimental determination of (E'/sup 2/), (v/sup 2/), (vE'), etc., is highly desirable in the near future. (15 refs)

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