Scaling Laws at Large Transverse Momentum

Stanley J. Brodsky, Glennys R. Farrar

    Research output: Contribution to journalArticlepeer-review


    The application of simple dimensional counting to bound states of pointlike particles enables us to derive scaling laws for the asymptotic energy dependence of electromagnetic and hadronic scattering at fixed c.m. angle which only depend on the number of constituent fields of the hadrons. Assuming quark constituents, some of the s→, fixed-ts predictions are (dσdt)πp→πp∼s-8, (dσdt)pp→pp∼s-10, (dσdt)γp→πp∼s-7, (dσdt)γp→γp∼s-6, Fπ(q2)∼(q2)-1, and F1p(q2)∼(q2)-2. We show that such scaling laws are characteristic of renormalizable field theories satisfying certain conditions.

    Original languageEnglish (US)
    Pages (from-to)1153-1156
    Number of pages4
    JournalPhysical Review Letters
    Issue number18
    StatePublished - 1973

    ASJC Scopus subject areas

    • General Physics and Astronomy


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