Composite supersymmetric axion-dilaton-dilatino system and the breaking of supersymmetry

We explore the possibility that supersymmetry breaking is mediated to the Standard Model sector through the interactions of a generalized axion multiplet that gains a F-term expectation value. Using an effective field theory framework we enumerate the most general possible set of axion couplings and compute the Standard Model sector softsupersymmetry-breaking terms. Unusual, non-minimal spectra, such as those of both natural and split supersymmetry are easily implemented. We discuss example models and low-energy spectra, as well as implications of the particularly minimal case of mediation via the QCD axion multiplet. We argue that if the Peccei-Quinn solution to the strong-CP problem is realized in string theory then such axion-mediation is generic, while in a field theory model it is a natural possibility in both DFSZ-and KSVZ-like regimes. Axion mediation can parametrically dominate gravity-mediation and is also cosmologically beneficial as the constraints arising from axino and gravitino overproduction are reduced. Finally, in the string context, axion mediation provides a motivated mechanism where the UV completion naturally ameliorates the supersymmetric flavor problem.

Section: Motivation and Uv Completionsmentioning

confidence: 99%

Axion mediation

Baryakhtar¹,

Hardy²,

March-Russell³

2013

“…These have been discussed in the past, in the context of the spontaneous breaking of the superconformal symmetry [14]. They are identified with the anomaly poles present in the effective action, extracted from a supersymmetric correlator containing the superconformal hypercurrent and two vector currents, and correspond to the dilaton, the dilatino and the axion.…”

Section: Anomalies and Anomaly Polesmentioning

confidence: 99%

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

Corianò

Costantini

Rose

et al. 2014

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.

“…We have also assumed that the gauged U (1) symmetry is anomaly free. 38 However the remaining global U (1) symmetry associated with σ may have mixed anomalies with the standard model. We denote the relevant charge traces as…”

Section: A Simple Class Of Uv Complete Examples Of Axions Can Be Consmentioning

confidence: 99%

Non-derivative axionic couplings to nucleons at large and small N

Bigazzi

Cotrone

Järvinen

et al. 2020

Among the possible CP-odd couplings of the axion to ordinary matter, the most relevant ones for phenomenology are the Yukawa couplings to nucleons. We analyze such non-derivative couplings within three complementary approaches: standard effective field theory, the Skyrme model and holographic QCD. In all the cases, the couplings can be related to the CP-odd non-derivative couplings to nucleons of the low-lying mesons and the η . Using the effective field theory approach we derive the expressions for the CP-odd interaction terms as functions of the parameters of the effective Lagrangian. Then, we compute the CP-odd couplings to nucleons of the axion, the η and the pseudo-Goldstone mesons in both the Skyrme and the holographic QCD model with N f = 2, 3 flavors. We relate the coefficients of the non-derivative axion-nucleon couplings to those of the derivative ones. The relations do not explicitly depend on model parameters. This allows us to provide quantitative estimates of these couplings. D. CP violating η -pion-pion coupling 56 E. Alternative numerical estimates of the couplings 57 Introduction and resultsThe Peccei-Quinn proposal [1] for a natural solution of the strong CP problem -the unnaturally small value of the QCD θ angle -implies the existence of a new light neutral pseudoscalar boson, the axion [2, 3]. The original theory, severely constrained by data, was not renormalizable because of the axion coupling to the QCD instanton density [4,5]. In renormalizable axion models, successively proposed in [6,7,8], the axions were also made very weakly interacting with ordinary matter, as required by experimental constraints. These "invisible axions", whose couplings to matter have been deduced using anomalies and the chiral Lagrangian [9]- [14], are nowadays considered among the most promising candidates as dark matter constituents, and also as possible realizations of the inflaton [15]- [20]. As of today, axion-like particles (ALPs) are ubiquitous and serve various purposes. The nomenclature has also evolved but still remains sometimes murky. Axions that solve the strong CP problem are typically called QCD axions. The term "axionlike particle" is often used to refer (only) to other types of axions.Generically, axions display a perturbative shift symmetry and couple to instanton densities. In any reliable quantum field theory (QFT) realization, the symmetry is broken (at best) to a discrete symmetry due to non-perturbative effects. Such effects, related to instantons in weakly-coupled models, induce a mass and, more generally, a potential term, for the QCD axion (see e.g. [13]).ALPs arise very commonly in string theory [21], the simplest example being the Ramond-Ramond (RR) axion of type IIB string theory. They can also arise, after compactification, from internal components of antisymmetric form gauge fields as well as from off-diagonal components of the metric. In these cases, ALPs are related to generalized gauge fields [22,23]. The corresponding gauge symmetries provide the perturbative Peccei-Quinn (PQ) sym...