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Cancellation of divergences up to three loops in exceptional field theory

par Bossard, Guillaume G.B.;Kleinschmidt, Axel
Référence The Journal of high energy physics, 2018, 3, 100
Publication Publié, 2018-03

Article révisé par les pairs

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Résumé :

We consider the tetrahedral three-loop diagram in Ed exceptional field theory evaluated as a scalar diagram for four external gravitons. At lowest order in momenta, this diagram contributes to the ∇6R4 term in the low-energy effective action for M-theory. We evaluate explicitly the sums over the discrete exceptional field theory loop momenta that become sums over 1/2-BPS states in the compact exceptional space. These sums can be rewritten as Eisenstein series that solve the homogeneous differential equations that supersymmetry implies for the ∇6R4 coupling. We also show how our results, even though sums over 1/2-BPS states, are consistent with expected 1/4-BPS contributions to the couplings.