Relic densities of dark matter in the U(1)-extended NMSSM and the gauged axion supermultiplet

Costantini

Rose

et al. 2014

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Abstract:We discuss the signature of the anomalous breaking of the superconformal symmetry in N = 1 super Yang Mills theory, mediated by the Ferrara-Zumino hypercurrent (J ) with two vector (V) supercurrents (J VV) and its manifestation in the anomaly action, in the form of anomaly poles. This allows to investigate in a unified way both conformal and chiral anomalies. The analysis is performed in parallel to the Standard Model, for comparison. We investigate, in particular, massive deformations of the N = 1 theory and the spectral densities of the anomaly form factors which are extracted from the components of this correlator. In this extended framework it is shown that all the anomaly form factors are characterized by spectral densities which flow with the mass deformation. In particular, the continuum contributions from the two-particle cuts of the intermediate states turn into poles in the zero mass limit, with a single sum rule satisfied by each component. Non anomalous form factors, instead, in the same anomalous correlators, are characterized by non-integrable spectral densities. These tend to uniform distributions as one moves towards the conformal point, with a clear dual behaviour. As in a previous analysis of the dilaton pole of the Standard Model, also in this case the poles can be interpreted as signaling the exchange of a composite dilaton/axion/dilatino (ADD) multiplet in the effective Lagrangian. The pole-like behaviour of the anomaly form factors is shown to be a global feature of the correlators, present at all energy scales, due to the sum rules. A similar behaviour is shown to be present in the Konishi current, which identifies additional composite states. We conclude that global anomalous currents characterized by a single flow in the perturbative picture always predict the existence of composite interpolating fields. In case of gauging of these currents, as in superconformal theories coupled to gravity, we show that the cancellation of the corresponding anomalies requires either a vanishing β function or the inclusion of an extra gravitational sector which effectively sets the residue at the anomaly poles of the gauged currents to vanish.

Section: Anomalies and Anomaly Polesmentioning

confidence: 99%

Section: T V V and The Two Spectral Flows Of The Electroweak Theorymentioning

confidence: 99%

Superconformal sum rules and the spectral density flow of the composite dilaton (ADD) multiplet in N $$ \mathcal{N} $$ =1 theories

Costantini

Rose

et al. 2014

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“…In the supersymmetic context a similar scenario, with two dark matter candidates has been discussed in [81,82]. The role of this pseudoscalar state, in the context of the recent results by FERMI about the 1-3 GeV excess gamma-ray signal from the galactic center [65,66] is under investigation for this model [83].…”

Section: Jhep09(2015)045mentioning

confidence: 87%

Perspectives on a supersymmetric extension of the standard model with a Y = 0 Higgs triplet and a singlet at the LHC

Bandyopadhyay

Costantini

2015

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We investigate a supersymmetric extension of the Minimal Supersymmetric Standard Model (MSSM), called the TNMSSM, containing a SU(2) Higgs triplet (T ) of Y = 0 hypercharge and a singlet superfields (Ŝ) in the corresponding superpotential. The model can be viewed, equivalently, as an extension of the NMSSM with the addition of â T −Ŝ interaction and of an extra coupling of the triplet to the two Higgs doublets of the NMSSM. In this scenario the Higgs particle spectrum at tree-level gets additional mass contributions from the triplet and singlet scalar components respect to the MSSM, which are particularly enhanced at low tan β. We calculate the one-loop Higgs masses for the neutral physical Higgs bosons by a Coleman-Weinberg effective potential approach. In particular, we investigate separately the impact of the radiative corrections due to the electroweak, gauge-gaugino-higgsino, fermion-sfermion and Higgs self-interactions to the Higgs masses. Due to the larger number of scalars and of triplet and singlet couplings, the Higgs corrections can be larger than the strong corrections. This reduces the amount of fine-tuning required to fit the recent Higgs data. Using the expressions of the beta-functions of the model, we show that the large triplet singlet coupling remains perturbative up to ∼ 10 8−10 GeV. The model is also characterized by a light pseudoscalar in the spectrum, which is a linear combination of the triplet, doublet and singlet CP-odd components. We discuss the production and decay signatures of the Higgs bosons in this model, including scenarios with hidden Higgses, which could be investigated at the LHC in the current run.

“…All the local forms of such actions introduce one extra degree of freedom, in the form of a dilaton field. In the context of supersymmetric theories, the dilaton field turns into a multiplet with a dilaton, an axion and an axino and can be described by a Stückelberg-like Lagrangian [100] which has implications at a phenomenological level in the dark matter sector of supersymmetric extensions of the Standard Model. A dilaton could be the result of some strong dynamics and realizes a matching of the anomaly in the IR, the same anomaly that is identified, dynamically, by the emergence of anomaly poles in the UV expression of the correlator.…”

Section: The Conformal Anomaly and The Effective Action 71 Introductionmentioning

confidence: 99%

On some hypergeometric solutions of the conformal Ward identities of scalar 4-point functions in momentum space

Maglio

2019

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We discuss specific hypergeometric solutions of the conformal Ward identities (CWI's) of scalar 4-point functions of primary fields in momentum space, in d spacetime dimensions. We determine such solutions using various dual conformal ansätze (DCA's). We start from a generic dual conformal correlator, and require it to be conformally covariant in coordinate space. The two requirements constrain such solutions to take a unique hypergeometric form. They describe correlators which are at the same time conformal and dual conformal in any dimension. These specific ansätze also show the existence of a link between 3-and 4-point functions of a CFT for such class of exact solutions, similarly to what found for planar ladder diagrams. We show that in d = 4 only the box diagram and its melonic variants, in free field theory, satisfies such conditions, the remaining solutions being nonperturbative. We then turn to the analysis of some approximate high energy fixed angle solutions of the CWI's which also in this case take the form of generalized hypergeometric functions. We show that they describe the behaviour of the 4-point functions at large energy and momentum transfers, with a fixed −t/s. The equations, in this case, are solved by linear combinations of Lauricella functions of 3 variables and can be rewritten as generalized 4K integrals. In both cases the CWI's alone are sufficient to identify such solutions and their special connection with generalized hypergeometric systems of equations.Using the definitons above, each equation can be characterized in terms of the set of operators