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String consistency, heavy exotics, and the 750 GeV diphoton excess at the LHC. (English) Zbl 1349.81151

Summary: String consistency conditions are stronger than anomaly cancellation and can require the addition of exotics in the visible sector. We study such exotics and demonstrate that they may account for the modest excess at 750 GeV in recent diphoton resonance searches performed by the ATLAS and CMS collaborations. In a previous analysis of type II MSSM D-brane quivers we systematically added up to five exotics for the sake of satisfying string consistency conditions. Using this dataset, we demonstrate that 89780 of the 89964 quivers have exotics, 78155 of which include singlets that may couple to MSSM or exotic multiplets with coupling structures governed by \(\operatorname{U}(1)\) symmetries that are often anomalous. We demonstrate that certain sets of exotics are far preferred over others and study the structure of singlet couplings to heavy exotics carrying standard model charges. Typical possibilities include singlets that may decay to vector-like quarks and/or vector-like leptons and subsequently to two photons. We show that a narrow width diphoton excess can be accounted for while evading existing bounds if multiple exotics are added, with vector-like leptons of mass \(M_L < 75\; \text{GeV}\) and vector-like quarks with masses up to \(\simeq 3\; \text{TeV}\). However, a large width (\(\Gamma/M \sim 0.06\)), as suggested by the ATLAS data, cannot be easily accommodated in this framework. Renormalization group equations with GUT-scale boundary conditions show that these supersymmetric models are perturbative and stable. Type IIA compactifications on toroidal orbifolds allow for \(O(10)\) Yukawa couplings in the ultraviolet. We also discuss the possibility of accounting for the diphoton excess in a low string scale scenario via the decay of string axions.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81V22 Unified quantum theories
81T50 Anomalies in quantum field theory
16G20 Representations of quivers and partially ordered sets
81T17 Renormalization group methods applied to problems in quantum field theory
14M25 Toric varieties, Newton polyhedra, Okounkov bodies
57R18 Topology and geometry of orbifolds
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References:

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