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Abstract:We consider the N = 1 superpotential generated in type-II orientifold models by non-geometric fluxes. In particular, we focus on the family of P fluxes, that are related by T-duality transformations to the S-dual of the Q flux. We determine the general rule that transforms a given flux in this family under a single T-duality transformation. This rule allows to derive a complete expression for the superpotential for both the IIA and the IIB theory for the particular case of a T 6 /[Z 2 × Z 2 ] orientifold. We then consider how these fluxes modify the generalised Bianchi identities. In particular, we derive a fully consistent set of quadratic constraints coming from the NS-NS Bianchi identities. On the other hand, the P flux Bianchi identities induce tadpoles, and we determine a set of exotic branes that can be consistently included in order to cancel them. This is achieved by determining a universal transformation rule under T-duality satisfied by all the branes in string theory.

The measurement of Higgs couplings constitute an important part of present Standard Model precision tests at colliders. We show that modifications of Higgs couplings induce energy-growing effects in specific amplitudes involving longitudinally polarized vector bosons, and we initiate a novel program to study these very modifications of Higgs couplings off-shell and at high-energy, rather than on the Higgs resonance. Our analysis suggests that these channels are complementary and, at times, competitive with familiar on-shell measurements; moreover, they offer endless opportunities for refinements and improvements. HCHwH GrowthTABLE I. Each effect (left column) can be measured as an on-shell Higgs Coupling (diagram in the HC column) or in a high-energy process (diagram in the HwH column), where it grows with energy as indicated in the last column.that this program is potentially competitive with onshell measurements. Moreover-and perhaps equally important-this program contains numerous avenues for refinements and improvements: it can benefit maximally from accumulated statistics, from improved SM computations of differential distributions, from phenomenological analyses aimed at enhancing the signal-over-background (see, for instance, [6-11]), and from dedicated experimental analyses. Furthermore, given the complexity of the final states, we expect advanced machine learning techniques [12][13][14] could drastically improve our simple cut and count analysis. Additionally, in the context of a global precision program, the high-energy aspects that we dis-arXiv:1812.09299v2 [hep-ph]

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We extend the P-flux analysis carried out recently on the T 6 /[Z 2 × Z 2 ] type-II orientifold model to include all the possible non-geometric fluxes. By deriving universal T-duality rules for all the fluxes, we are able to write down a complete expression for the superpotential for both the IIB and IIA theories. By exploiting the universal T-duality rules that apply to all the branes in string theory, we then identify all the exotic branes that can be consistently included to cancel the tadpoles induced by the fluxes. Finally, we derive the representations of these branes with respect to the SL(2, Z) 7 duality symmetry of the model.