Naturally small Dirac neutrino mass and B-L dark matter

summary

Video file (mp4)

The gist

This paper investigates a modified gauged U(1) B-L extension of the Standard Model that avoids the standard type-I seesaw mechanism.

In short

The hosts discussed a paper titled "Naturally small Dirac neutrino mass and B-L dark matter." The authors propose a mechanism to achieve naturally small neutrino masses without fine-tuning. They presented two distinct scenarios for dark matter: one involving a stable vector-like fermion (Dirac DM) and another involving chiral fermions (Majorana DM), both offering testable predictions like gravitational waves.

Key concepts

Natural Smallness
The authors propose a mechanism where small neutrino masses are naturally induced by the symmetry breaking process itself. This avoids needing excessive fine-tuning of parameters, making the model theoretically appealing.
B-L Dark Matter
This refers to a dark matter candidate that is stable within a specific symmetry framework. The model allows for two types: a stable vector-like fermion (Dirac DM) or chiral fermions (Majorana DM), depending on the underlying physics.
First-Order Phase Transition
The model predicts observable signatures related to the breaking of B-L symmetry. This process can generate stochastic gravitational waves, providing a testable way to confirm the theory's viability.

Terminology used across episodes

This episode discusses

The paper

Naturally small Dirac neutrino mass and B-L dark matter · Read on arXiv

Department of Physics and Astronomy, University of California, Riverside · Department of Physics, Indian Institute of Technology Hyderabad

In the conventional gauged B-L extension of the standard model, the B-L charge of the singlet scalar χ, responsible for the breaking of U(1) B-L symmetry, is taken to be 2 such that it can anchor type-I seesaw by giving Majorana masses to the right-handed neutrinos, ν R. In this paper, we consider instead the cases χ about 3 or 4 under B-L, so that ν R may not acquire any Majorana mass and neutrinos are Dirac fermions. We then consider a vector-like fermion S with 2 units of B-L charge, which becomes a good candidate for dark matter, either Dirac for χ about 3 or Majorana for χ about 4. In both cases, spontaneous B-L breaking can induce a strong first-order phase transition, producing stochastic gravitational waves (GW) which can be tested at GW experiments. Moreover, the presence of light ν R s gives rise to an additional contribution to the effective number of relativistic degrees of freedom, Δ N eff, providing complementary constraints from current and upcoming CMB observations.

DOI: 10.1103/386s-sj3r

Transcript

Introduction to the show: ident: Astrophysics Radio. Generated commentary on the latest astrophysics papers.

Vera: Next we'll be talking about the paper "Naturally small Dirac neutrino mass and B-L dark matter".

Jocelyn: The paper was written by Ernest Ma, Partha Kumar Paul and Narendra Sahu from Department of Physics and Astronomy, University of California, Riverside and Department of Physics, Indian Institute of Technology Hyderabad.

Vera: Stay tuned as we take you through the paper and discuss its implications.

Jocelyn: We also have Subrahmanyan with us today — guest researcher.

Vera: Alright, let's get started.

Paper discussion segment 1 — Vera and Jocelyn discuss title and authors of the paper 'Naturally small Dirac neutrino mass and B-L dark matter' and its implications: Vera: So, we’ve established that this paper addresses two major gaps in our understanding, but let's look a little deeper into the implication of the name itself. The authors are suggesting a way to get "naturally small" masses for these elusive neutrinos.

Jocelyn: I'm interested in how "natural" they define that smallness here, because in many previous models, achieving such small masses often requires some fine-tuning of parameters that doesn't feel very physical at all.

Subrahmanyan: The core idea is that the authors are using a mechanism to naturally induce a small vacuum expectation value for certain scalar fields, which leads directly to those tiny neutrino masses without needing excessive fine-tuning, which is a big win theoretically.

Vera: That's exactly what I liked about the introduction. It doesn't just assume smallness; it builds it in through the symmetry breaking process itself. It’ provides a mechanism for naturally small Dirac neutrino mass and B-L dark matter, as stated in the title.

Jocelyn: And when we combine that with dark matter, we are moving away from traditional seesaw models which often rely on huge Majorana masses. This suggests a shift toward a more specific, perhaps lighter, kind of physics for both the neutrinos and the hidden sector.

Subrahmanyan: Indeed. The structure allows for a stable dark matter candidate—a vector-like fermion S—which is something that can be naturally accommodated within this symmetry framework without requiring extreme energy scales.

Vera: It gives us hope that we might not need to invoke some extremely high-energy physics to explain these two things, which is a huge reduction in the complexity of the model.

Jocelyn: It’s exciting because it implies we might be able to find answers to these questions at much lower energy scales, maybe even within our current particle accelerators or through specialized dark matter detectors.

Subrahmanyan: We need to look closely at how this specific symmetry breaking leads to the next steps in the model's construction.

Paper discussion segment 2 — Vera and Jocelyn discuss the paper's summary of the paper 'Naturally small Dirac neutrino mass and B-L dark matter' and its implications: Vera: Building on that, let’s look at how this model actually works internally. The summary shows a clear distinction based on the charge of a key scalar field chi.

Jocelyn: It seems like the B-L charge of chi dictates whether we get Dirac or Majorana dark matter, and also dictates how our neutrinos behave. That's a powerful lever for us as observers to track.

Subrahmanyan: This is where the model becomes subtle but incredibly flexible. If the B-L charge of chi allows for certain interactions, we can have one stable scenario; if it prevents those interactions, we get another viable pathway to dark matter.

Vera: The paper highlights two specific choices: chi about three or chi about four. In the chi about three case, we are looking at a scenario where the neutrinos are Dirac fermions and also finding a stable, Dirac dark matter candidate.

Jocelyn: And in the chi about four case, the potential for Majorana dark matter emerges, where those chiral fermions can acquire masses through coupling to chi. This gives us two distinct paths for DM searches.

Subrahmanyan: This duality is key to the bigger picture. The model isn's not restrictive; it offers multiple ways that nature could have solved these problems, depending on which symmetry constraints were dominant in the early universe.

Vera: I find that fascinating because it means our search strategies for dark matter would need to be quite broad, covering both Dirac and Majorana signatures depending on what we observe.

Jocelyn: It also suggests that the thermal history of the early universe plays a vital role in determining which scenario prevails, which is something we can try to constrain with data.

Subrahmanyan: We have established the mechanism for achieving small masses and have explored two distinct structural outcomes for dark matter.

Paper discussion segment 3 — Vera and Jocelyn discuss the improvements the paper suggests of the paper 'Naturally small Dirac neutrino mass and B-L dark matter' and its implications: Vera: The authors are proposing some very specific ways to improve upon existing models, particularly in how we look for dark matter. They introduce a vector-like fermion S with two units of B-L charge.

Jocelyn: That particle S is the real star here for the chi about three scenario, acting as a stable Dirac DM candidate that interacts only through the B-L gauge interactions. It’s a very clean dark sector model.

Subrahmanyan: This vector-like fermion is designed to be stable because of how the symmetries are forbidden from coupling it to other particles, making it a compelling candidate for a relic density we can actually detect.

Vera: And when we look at the chi about four scenario, Majorana dark matter emerges through those chiral fermions coupling to chi. This is a different kind of DM, but equally important for us to consider.

Jocelyn: The paper also mentions that in the standard chi about two models, these interactions allow for pseudo-Dirac particles, which are interesting but not as robustly stable as the pure Dirac or Majorana candidates presented here.

Subrahmanyan: This is a subtle point about stability versus complexity. The authors are providing solutions that offer both simple and intricate paths to achieve the observed dark matter abundance in the current universe.

Vera: We're also seeing some very strong cosmological predictions, particularly regarding the first-order phase transition (FOPT) driven by chi.

Jocelyn: It's not just about finding DM; it’s about how that the entire process of breaking the B-L symmetry creates a signature in gravitational waves.

Subrahmanyan: This provides a way to test the viability of these models, because if we detect those specific GW signals, we are essentially confirming that these particle physics theories were active in the early cosmos.

Conclusion — Vera and Jocelyn lead the wrap-up: they summarize the paper's implications and say goodbye to it: Vera: So, looking across all the results presented in "Naturally small Dirac neutrino mass and B-L dark matter," we see a model that successfully addresses two huge unknowns.

Jocelyn: It gives us multiple, distinct ways to achieve a viable dark matter relic density through freeze-out or even freeze-in mechanisms. That's extremely useful for guiding our search strategies.

Subrahmanyan: And the fact that these models also predict observable signatures—either in the form of stochastic gravitational waves from a first-order phase transition, or through non-thermal contributions to N eff from light right-handed neutrinos—provides powerful cross-checks.

Vera: It means that whether we are looking at particle detectors, CMB measurements, or interferometers detecting gravitational waves, this model gives us multiple targets to hit.

Jocelyn: The paper is a fantastic blueprint for how different symmetry choices can lead to very specific and testable predictions in cosmology and particle physics.

Subrahmanyan: It offers a comprehensive framework that manages the complexity of neutrino masses while providing a natural home for dark matter, which is truly the goal of modern high-energy theory.

Vera: We are incredibly excited about this work, and we want to thank the authors for presenting "Naturally small Dirac neutrino mass and B-L dark matter."

Jocelyn: It’s definitely a paper that opens up a lot of exciting possibilities for future research.

Subrahmanyan: I think it marks a significant step forward in how we approach the fundamental questions about the composition and history of our universe.

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