Affleck-Dine Leptogenesis Research Articles

Affleck-Dine leptogenesis scenario for resonant production of sterile neutrino dark matter

Sterile neutrino is a fascinating candidate for dark matter.In this paper, we examine the Affleck-Dine (AD) leptogenesis scenario generating a large lepton asymmetry,which can inducethe resonant production of sterile neutrino dark mattervia the Shi-Fuller (SF) mechanism.We also revisit the numerical calculation of the SF mechanism and the constraints from current X-ray and Lyman-α forest observations.We find that the AD leptogenesis scenario can explain the production of sterile neutrino dark matter by incorporating a non-topological soliton with a lepton charge called L-ball.Finally, we discussan enhancement of second-order gravitational waves at the L-ball decay and investigate the testability of our scenario with future gravitational wave observations.

Parity solution to the strong CP problem and a unified framework for inflation, baryogenesis, and dark matter

It has been known for some time that asymptotic parity invariance of weak interactions can provide a solution to the strong CP problem without the need for the axion. Left-right symmetric theories which employ a minimal Higgs sector consisting of a left-handed and a right-handed doublet is an example of such a theory wherein all fermion masses arise through a generalized seesaw mechanism. In this paper we present a way to understand the origin of matter-antimatter asymmetry as well as the dark matter content of the universe in these theories using the Affleck-Dine (AD) leptogenesis mechanism and inflaton decay, respectively. Three gauge singlet fermions are needed for this purpose, two of which help to implement the Dirac seesaw for neutrino masses while the third one becomes the non-thermal dark matter candidate. A soft lepton number breaking term involving the AD scalar field is used to generate lepton asymmetry which suffers no wash-out effects and maintains the Dirac nature of neutrinos. This framework thus provides a unified description of many of the unresolved puzzles of the standard model that require new physics.

Revisiting Affleck-Dine leptogenesis with light sleptons

We revisit the Affleck-Dine leptogenesis via the L H_u flat direction with a light slepton field. Although the light slepton field is favored in low-energy SUSY phenomenologies, such as the muon g - 2 anomaly and bino-slepton coannihilation, it may cause a problem in the Affleck-Dine leptogenesis: it may create an unwanted charge-breaking vacuum in the Affleck-Dine field potential so that the Affleck-Dine field is trapped during the course of leptogenesis. We investigate the conditions under which such an unwanted vacuum exists and clarify that both thermal and quantum corrections are important for the (temporal) disappearance of the charge-breaking minimum. We also confirm that if the charge-breaking vacuum disappears due to the thermal or quantum correction, the correct baryon asymmetry can be produced while avoiding the cosmological gravitino problem.

Unified model for inflation, pseudo-Goldstone dark matter, neutrino mass, and baryogenesis

We present a unified theory of inflation, neutrino mass, baryogenesis, and dark matter where global lepton number symmetry and its breaking play a crucial role. The basic idea is to use a lepton number carrying a complex scalar field as the inflaton as well as the field that implements Affleck-Dine (AD) leptogenesis. Dark matter is the massive Majoron which is a pseudo-Goldstone boson, resulting from the spontaneous breaking of lepton number symmetry supplemented by explicit lepton number violation needed to implement AD leptogenesis. The magnitude of the resulting ${n}_{B}/s$ in the model is related to the mass of the pseudo-Goldstone dark matter, connecting two apparently disconnected cosmological observations. An inverse seesaw mechanism with lepton number breaking at low scale is crucial to prevent washout of the lepton asymmetry during the universe's evolution. The model seems to provide an economical solution to several puzzles of the standard model of particle physics and cosmology in one stroke.

Constraining Affleck-Dine leptogenesis after thermal inflation

Affleck-Dine leptogenesis after thermal inflation along the LHu direction requires mL2+mHu2 < 0 up to the AD scale (|L|≃|Hu|∼ 109 GeV). We renormalised this condition from the AD scale to the soft supersymmetry breaking scale by solving the renormalisation group equations perturbatively in the Yukawa couplings to obtain a semi-analytic constraint on the soft supersymmetry breaking parameters, which is much stronger than the tree-level result. We also used a fully numerical method to renormalise the baryogenesis condition and constrained the Minimal Supersymmetric Cosmological Model using the resulting baryogenesis condition and other constraints, specifically, electroweak symmetry breaking, the observed Higgs mass, and the axion and axino dark matter abundance.

Oscillating Affleck-Dine condensate and its cosmological implications

We study the dynamics of the Affleck-Dine field after inflation in more detail. After inflation, the Affleck-Dine field inevitably oscillates around the potential minimum. This oscillation is hard to decay and can cause accidental suppression of the consequential baryon asymmetry. This suppression is most effective for the model with non-renormalizable superpotential $W_{AD}\sim \Phi^4$ ($\Phi$: Affleck-Dine field). It is found that the Affleck-Dine leptogenesis in high-scale inflation, which suffers from serious gravitino overproduction, becomes workable owing to this effect.

Axion and neutrino physics in aU(1)-enhanced supersymmetric model

Motivated by the flavored Peccei-Quinn symmetry for unifying the flavor physics and string theory, we construct an explicit model by introducing a $U(1)$ symmetry such that the $U(1)_X$-$[gravity]^2$ anomaly-free condition together with the standard model flavor structure demands additional sterile neutrinos as well as no axionic domain-wall problem. Such additional sterile neutrinos play the role of a realization of baryogenesis via a new Affleck-Dine leptogenesis. We provide grounds for that the $U(1)_X$ symmetry could be interpreted as a fundamental symmetry of nature. The model will resolve rather recent, but fast-growing issues in astro-particle physics, including leptonic mixings and CP violation in neutrino oscillation, high-energy neutrinos, QCD axion, and axion cooling of stars. The QCD axion decay constant, through its connection to the astrophysical constraints of stellar evolution and the SM fermion masses, is shown to be fixed at $F_A=1.30^{+0.66}_{-0.54}\times10^{9}$ GeV (consequently, its mass is $m_a=4.34^{+3.37}_{-1.49}$ meV and axion-photon coupling is $|g_{a\gamma\gamma}|=1.30^{+1.01}_{-0.45}\times10^{-12}\,{\rm GeV}^{-1}$). Interestingly enough, we show that neutrino oscillations at low energies could be connected to astronomical-scale baseline neutrino oscillations. The model predicts non-observational neutrinoless double beta ($0\nu\beta\beta$) decay rate as well as a remarkable pattern between leptonic Dirac CP phase ($\delta_{CP}$) and atmospheric mixing angle ($\theta_{23}$); {\it e.g.} $\delta_{CP}\simeq220^{\circ}-240^{\circ}$, $120^{\circ}-140^{\circ}$ for $\theta_{23}=42.3^{\circ}$ for normal mass ordering, and $\delta_{CP}\simeq283^{\circ},250^{\circ},100^{\circ},70^{\circ}$ for $\theta_{23}=49.5^{\circ}$ for inverted one.

Affleck-Dine leptogenesis with varying Peccei-Quinn scale

The Affleck-Dine leptogenesis scenario along the LHu flat direction is reconsidered. It is known that successful Affleck-Dine leptogenesis requires that the lightest neutrino mass is extremely small. This situation can be significantly relaxed if the neutrino mass in the early universe is different from the present one. We consider a supersymmetric Dine-Fischler-Srednicki-Zhitnitsky (DFSZ) type model, which provides a solution to the strong CP problem and generates a SUSY μ-term and right-handed neutrino masses. If the PQ scale during lepton number generation is much larger than the present value, leptogenesis is very efficient so that enough baryon number can be generated without introducing a hierarchically small neutrino mass. The final baryon asymmetry is related to the μ-term, and hence linked to the level of electroweak fine-tuning. We also show the PQ breaking scalar dynamics that keeps a large PQ breaking scale during inflation and lepton number generation. The μ-term generating superpotential plays an important role for preserving the lepton asymmetry during saxion oscillation. In this scenario, the axion isocurvature perturbation is naturally suppressed.

Affleck–Dine leptogenesis and its backreaction to inflaton dynamics

We investigate the backreaction of the Affleck-Dine leptogenesis to inflaton dynamics in the F-term hybrid and chaotic inflation models in supergravity. We determine the lightest neutrino mass in both models so that the predictions of spectral index, tensor-to-scalar ratio, and baryon abundance are consistent with observations.

Leptogenesis scenarios for natural SUSY with mixed axion-higgsino dark matter

Supersymmetric models with radiatively-driven electroweak naturalness require light higgsinos of mass ∼ 100–300 GeV . Naturalness in the QCD sector is invoked via the Peccei-Quinn (PQ) axion leading to mixed axion-higgsino dark matter. The SUSY DFSZ axion model provides a solution to the SUSY μ problem and the Little Hierarchy μ≪ m3/2 may emerge as a consequence of a mismatch between PQ and hidden sector mass scales. The traditional gravitino problem is now augmented by the axino and saxion problems, since these latter particles can also contribute to overproduction of WIMPs or dark radiation, or violation of BBN constraints. We compute regions of the TR vs. m3/2 plane allowed by BBN, dark matter and dark radiation constraints for various PQ scale choices fa. These regions are compared to the values needed for thermal leptogenesis, non-thermal leptogenesis, oscillating sneutrino leptogenesis and Affleck-Dine leptogenesis. The latter three are allowed in wide regions of parameter space for PQ scale fa∼ 1010–1012 GeV which is also favored by naturalness: fa ∼ √μMP/λμ ∼ 1010–1012 GeV . These fa values correspond to axion masses somewhat above the projected ADMX search regions.

The μ problem and sneutrino inflation

We consider sneutrino inflation and post-inflation cosmology in the singlet extension of the MSSM with approximate Peccei-Quinn(PQ) symmetry, assuming that supersymmetry breaking is mediated by gauge interaction. The PQ symmetry is broken by the intermediate-scale VEVs of two flaton fields, which are determined by the interplay between radiative flaton soft masses and higher order terms. Then, from the flaton VEVs, we obtain the correct mu term and the right-handed(RH) neutrino masses for see-saw mechanism. We show that the RH sneutrino with non-minimal gravity coupling drives inflation, thanks to the same flaton coupling giving rise to the RH neutrino mass. After inflation, extra vector-like states, that are responsible for the radiative breaking of the PQ symmetry, results in thermal inflation with the flaton field, solving the gravitino problem caused by high reheating temperature. Our model predicts the spectral index to be n_s\simeq 0.96 due to the additional efoldings from thermal inflation. We show that a right dark matter abundance comes from the gravitino of 100 keV mass and a successful baryogenesis is possible via Affleck-Dine leptogenesis.

Theμproblem and the axion in gauge mediation

We revisit the idea of generating the Higgs mu parameter through a spontaneously broken Peccei-Quinn (PQ) symmetry in gauge-mediated supersymmetry breaking scenario. For the messenger scale of gauge mediation higher than the PQ scale, the setup naturally generates mu ~ m_soft and the Higgs soft parameter B \leq O(m_soft) with the CP phase of B aligned to the phase of gaugino masses, while giving the PQ scale v_PQ ~ \surd (m_soft {\Lambda}), where m_soft denote the gauge-mediated gaugino or sfermion masses and {\Lambda} is the cutoff scale which can be identified as the Planck scale or the GUT scale. The PQ sector of the model results in distinctive cosmology including a late thermal inflation. We discuss the issue of dark matter and baryogenesis in the resulting thermal inflation scenario, and find that a right amount of gravitino dark matter can be produced together with a successful Affleck-Dine leptogenesis, when the gravitino mass m_{3/2} = O(100) keV.

AFFLECK–DINE LEPTOGENESIS IN THE RADIATIVE NEUTRINO MASS MODEL

Radiative neutrino mass models have interesting features, which make it possible to relate neutrino masses to the existence of dark matter. However, the explanation of the baryon number asymmetry in the universe seems to be generally difficult as long as we suppose leptogenesis based on the decay of thermal right-handed neutrinos. Since right-handed neutrinos are assumed to have masses of O(1) TeV in these models, they are too small to generate the sufficient lepton number asymmetry. Here we consider Affleck–Dine leptogenesis in a radiative neutrino mass model by using a famous flat direction LHu as an alternative possibility. The constraint on the reheating temperature could be weaker than the ordinary models. The model explains all the origin of the neutrino masses, the dark matter, and also the baryon number asymmetry in the universe.

Neutrino masses, Baryon asymmetry, dark matter and the moduli problem — A complete framework

Recent developments in string theory have led to ``realistic string compactifications which lead to moduli stabilization while generating a hierarchy between the Electroweak and Planck scales at the same time. However, this seems to suggest a rethink of our standard notions of cosmological evolution after the end of inflation and before the beginning of BBN. This epoch is crucial for addressing the issues of neutrino masses, baryon asymmetry, Dark Matter (DM) abundance and the moduli (gravitino) problem. We argue that within classes of realistic string compactifications as defined above, there generically exists a light modulus with a mass comparable to that of the gravitino which is typically much smaller than the Hubble parameter during inflation. Therefore, it is destabilized and generates a large late-time entropy when it decays. Thus, all known elegant mechanisms of generating the baryon asymmetry of the Universe in the literature have to take this fact into account. In this work, we find that it is still possible to naturally generate the observed baryon asymmetry of the Universe as well as light left-handed neutrino masses from a period of Affleck-Dine (AD) leptogenesis shortly after the end of inflation, in classes of realistic string constructions with a minimal extension of the MSSM below the unification scale (consisting only of right-handed neutrinos) and satisfying certain microscopic criteria described in the text. The AD mechanism has already been used to generate the baryon asymmetry in the literature; however in this work we have embedded the above mechanism within a framework well motivated from string theory and have tried to describe the epoch from the end of inflation to the beginning of BBN in a complete and self-consistent manner. The consequences of our analysis are as follows. The lightest left-handed neutrino is required to be virtually massless. The moduli (gravitino) problem can be naturally solved in this framework both within gravity and gauge mediation. The observed upper bound on the relic abundance constrains the moduli-matter and moduli-gravitino couplings since the DM is produced non-thermally within this framework. Finally, although not a definite prediction, the framework naturally allows a light right-handed neutrino and sneutrinos around the electroweak scale which could have important implications for the nature of DM as well as the LHC.

Preheating and Affleck–Dine leptogenesis after thermal inflation

Previously, we proposed a model of low energy Affleck–Dine leptogenesis in the contextof thermal inflation. The lepton asymmetry is generated at the end of thermalinflation, which occurs at a relatively low energy scale with the Hubble parametersomewhere in the range . Thus Hubble damping will be ineffective in bringing the Affleck–Dine field into the leptonconserving region near the origin, leaving the possibility that the lepton number could bewashed out. Previously, we suggested that preheating could damp the amplitude of theAffleck–Dine field allowing conservation of the lepton number. In this paper, wedemonstrate numerically that preheating does efficiently damp the amplitude of theAffleck–Dine field and that the lepton number is conserved as the result. In addition todemonstrating a crucial aspect of our model, it also opens the more general possibility oflow energy Affleck–Dine baryogenesis.

Affleck-Dine Leptogenesis induced by the Flation of Thermal Inflation

Affleck-Dine Leptogenesis induced by the Flation of Thermal Inflation

Right-handed sneutrino condensate cold dark matter and the baryon-to-dark matterratio

The similarity of the observed densities of baryons and cold dark matter suggests thatthey have a common or related origin. This can be understood in the context ofthe MSSM with right-handed (RH) sneutrinos if cold dark matter is due to ad = 4 flat direction condensate of very weakly coupled RH sneutrino LSPs andthe baryon asymmetry is generated by Affleck–Dine leptogenesis along thed = 4 (HuL)2 flatdirection. The correct density of RH sneutrino dark matter is obtained if the reheating temperature is in therange 106–108 GeV. A cold dark matter isocurvature perturbation close to presentobservational bounds is likely in the case of inflation driven by aD-term orby an F-term with suppressed Hubble corrections to theA-terms. An observable baryon isocurvature perturbation is also possible in the case ofD-term inflation models.

Affleck–Dine leptogenesis with triplet Higgs

We study an extension of the supersymmetric standard model including a pair of electroweak triplet Higgs $\Delta$ and ${\bar \Delta}$. The neutrinos acquire Majorana masses mediated by these triplet Higgs fields rather than the right-handed neutrinos. The successful leptogenesis for baryogenesis can be realized after the inflation through the Affleck-Dine mechanism on a flat manifold consisting of $\Delta$, ${\bar \Delta}$, ${\tilde e}^c$ (anti-slepton), even if the triplet Higgs mass $M_\Delta$ is much larger than the gravitino mass $m_{3/2} \sim 10^3 {\rm GeV}$. Specifically, due to the effects of the potential terms provided with the superpotential terms $M_\Delta {\bar \Delta} \Delta$, $(\lambda_{L /} / 2M) {\bar \Delta} {\bar \Delta} e^c e^c$, $(\lambda_\Delta / 2M) {\bar \Delta} \Delta {\bar \Delta} \Delta$ ($\lambda_{L /} / \lambda_\Delta \sim 0.3 - 3$), the phases of $\Delta$, ${\bar \Delta}$, ${\tilde e}^c$ are rotated at the time with the Hubble parameter $H \sim M_\Delta$, producing generally the asymmetry with fraction $\epsilon_L \sim 0.1$. If $M_\Delta$ is large enough, this early leptogenesis can be completed before the thermal effects take place.

Affleck–Dine leptogenesis and low scale inflation

We study Affleck-Dine leptogenesis via the L H_u flat direction in supersymmetric theories. We find that the baryon asymmetry is enhanced when the energy scale of the inflation is sufficiently low. Especially, we consider models of low scale inflation in which the Hubble parameter during inflation is comparable to (but slightly larger than) the gravitino mass m_{3/2} \sim 1 \TeV. The observed cosmological baryon asymmetry is obtained with the lightest neutrino mass m_{\nu_1} \sim 10^{-4} eV, if the reheating process is suddenly terminated after inflation.

Reheating-temperature independence of cosmological baryon asymmetry in Affleck-Dine leptogenesis

In this paper we point out that the cosmological baryon asymmetry in our universe is generated almost independently of the reheating temperature ${T}_{R}$ in Affleck-Dine leptogenesis and it is determined mainly by the mass of the lightest neutrino, ${m}_{{\ensuremath{\nu}}_{1}},$ in a wide range of reheating temperature ${T}_{R}\ensuremath{\simeq}{10}^{5}--{10}^{12}\mathrm{GeV}.$ The present baryon asymmetry predicts the ${m}_{{\ensuremath{\nu}}_{1}}$ in a narrow region ${m}_{{\ensuremath{\nu}}_{1}}\ensuremath{\simeq}(0.1--3)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}9}\mathrm{eV}.$ Such a small mass of the lightest neutrino leads to a high predictability on the mass parameter ${m}_{{\ensuremath{\nu}}_{e}{\ensuremath{\nu}}_{e}}$ contributing to the neutrinoless double beta decay. We also propose an explicit model in which such an ultralight neutrino can be naturally obtained.