New sum rules from low energy Compton scattering on arbitrary spin target

Hovhannes R. Grigoryan, Massimo Porrati

    Research output: Contribution to journalArticle

    Abstract

    We derive two sum rules by studying the low energy Compton scattering on a target of arbitrary (nonzero) spin j. In the first sum rule, we consider the possibility that the intermediate state in the scattering can have spin |j±1| and the same mass as the target. The second sum rule applies if the theory at hand possesses intermediate narrow resonances with masses different from the mass of the scatterer. These sum rules are generalizations of the Gerasimov-Drell-Hearn-Weinberg sum rule. Along with the requirement of tree level unitarity, they relate different low energy couplings in the theory. Using these sum rules, we show that in certain cases the gyromagnetic ratio can differ from the "natural" value g = 2, even at tree level, without spoiling perturbative unitarity. These sum rules can be used as constraints applicable to all supergravity and higher-spin theories that contain particles charged under some U(1) gauge field. In particular, applied to four dimensional N = 8 supergravity in a spontaneously broken phase, these sum rules suggest that for the theory to have a good ultraviolet behavior, additional massive states need to be present, such as those coming from the embedding of the N = 8 supergravity in type II superstring theory. We also discuss the possible implications of the sum rules for QCD in the large-N c limit.

    Original languageEnglish (US)
    Article number048
    JournalJournal of High Energy Physics
    Volume2012
    Issue number7
    DOIs
    StatePublished - 2012

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    sum rules
    scattering
    supergravity
    energy
    phase rule
    string theory
    embedding
    charged particles
    quantum chromodynamics
    requirements

    Keywords

    • Scattering amplitudes
    • Sum rules
    • Supergravity models

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    New sum rules from low energy Compton scattering on arbitrary spin target. / Grigoryan, Hovhannes R.; Porrati, Massimo.

    In: Journal of High Energy Physics, Vol. 2012, No. 7, 048, 2012.

    Research output: Contribution to journalArticle

    Grigoryan, Hovhannes R. ; Porrati, Massimo. / New sum rules from low energy Compton scattering on arbitrary spin target. In: Journal of High Energy Physics. 2012 ; Vol. 2012, No. 7.
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