Isospin violating dark matter in Stückelberg portal scenarios

Journal of High Energy Physics 2015.4 (2015): 175 reproduced by permission of Scuola Internazionale Superiore di Studi Avanzati (SISSA)Hidden sector scenarios in which dark matter (DM) interacts with the Standard Model matter fields through the exchange of massive Z′ bosons are well motivated by certain string theory constructions. In this work, we thoroughly study the phenomenological aspects of such scenarios and find that they present a clear and testable consequence for direct DM searches. We show that such string motivated Stückelberg portals naturally lead to isospin violating interactions of DM particles with nuclei. We find that the relations between the DM coupling to neutrons and protons for both, spin-independent (fn/fp) and spin-dependent (an/ap) interactions, are very flexible depending on the charges of the quarks under the extra U(1) gauge groups. We show that within this construction these ratios are generically different from ±1 (i.e. different couplings to protons and neutrons) leading to a potentially measurable distinction from other popular portals. Finally, we incorporate bounds from searches for dijet and dilepton resonances at the LHC as well as LUX bounds on the elastic scattering of DM off nucleons to determine the experimentally allowed values of fn/fp and an/apThe authors are grateful to D. G. Cerdeño, L. Ibañez, F. Kahlhoefer and G. Shiu for useful comments. V.M.L. and M.P. would like to thank the support of the European Union under the ERC Advanced Grant SPLE under contract ERC-2012-ADG-20120216-320421, the support of the Consolider-Ingenio 2010 programme under grant MULTIDARK CSD2009-00064, the Spanish MICINN under Grant No. FPA2012-34694, the Spanish MINECO “Centro de excelencia Severo Ochoa Program” under Grant No. SEV-2012-0249, and the Community of Madrid under Grant No. HEPHACOS S2009/ESP-1473. P.S. would like to thank DESY, the University of Hamburg, and the Hong Kong IAS for kind hospitality during the completion of this work. He acknowledges support from the DOE grant DEFG-02-95ER40896 and the HKRGC grant HKUST4/CRF/13G, 604231, as well as the Collaborative Research Center SFB676 of the DFG at the University of Hambur