Quantum gravity at a TeV and the renormalization of Newton's constant

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 77, Issue 12, 2008, Pages

  Calmet, Xavier ^a,b,c   Hsu, Stephen D H ^a   Reeb, David ^a  

^a UNIVERSITY OF OREGON   (United States)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^c Chargé de Recherches du F R S FNRS

Author keywords

[No Author keywords available]

Indexed keywords

EID: 45549103602     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.77.125015     Document Type: Article

References (22)

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13. These bounds are several orders of magnitude stronger than the ones previously given in the literature (see, e.g.,) and were obtained in the following way: Stelle relates the coefficients in the terms c2R2 and c3RμνRμν to Yukawa-like corrections to the Newtonian potential of a point mass M: Φ(r)=-GMr(1+13e-m0r-43e-m2r) with m0-1=32πG(3c2-c3) and m2-1=16πGc3, where G is the low-energy Newton constant appropriate for long-distance measurements. Then current bounds from submillimeter tests of Φ(r) give, in the absence of accidental fine cancellations between both Yukawa terms, m0, m2>(0.03cm)-1, yielding safe limits c2, c3<1061.
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