# Right-handed charged-lepton field
Canonical mAtlas concept record.
- **Concept ID:** `right_handed_charged_lepton_field`
- **Canonical page:** https://atlas.madvay.com/concepts/right_handed_charged_lepton_field/
- **Interactive graph:** https://atlas.madvay.com/?node=right_handed_charged_lepton_field
- **Content version:** `2.3.0`
- **Primary field:** [Physics](https://atlas.madvay.com/physics/)
- **Fields:** [Physics](https://atlas.madvay.com/physics/)
- **Primary domain:** [Quantum field theory](https://atlas.madvay.com/physics/quantum-field-theory/)
- **Domains:** [Quantum field theory](https://atlas.madvay.com/physics/quantum-field-theory/)
- **Concept type:** Chiral matter multiplet
- **Alternate terminology:** No alternate terminology is currently authored for this record.
## Summary
For each generation, a color-singlet $SU(2)_L$ singlet $e_R$ with weak hypercharge $-1$. The minimal Standard Model has no right-handed neutrino field.
## Concept sources

- [Wikipedia — Mathematical formulation of the Standard Model](https://en.wikipedia.org/wiki/Mathematical_formulation_of_the_Standard_Model) — Mathematical formulation of the Standard Model (encyclopedic reference; source ID `wp-physics-standard_model_chiral_multiplet`)
- [PDG — Electroweak Model and Constraints on New Physics (Review of Particle Physics 2026)](https://pdg.lbl.gov/2026/reviews/rpp2026-rev-standard-model.pdf) — Electroweak Model and Constraints on New Physics (Review of Particle Physics 2026) (Particle Data Group review; source ID `pdg-standard-model`)
- [Cambridge — Particle Physics](https://www.damtp.cam.ac.uk/user/tong/particle.html) — Particle Physics (University of Cambridge lecture notes; source ID `tong-particle`)

## Incoming relations (arrows to this concept)

### Standard Model chiral fermion multiplet → Right-handed charged-lepton field

- **Relation URL:** https://atlas.madvay.com/concepts/right_handed_charged_lepton_field/#relation-chiral_to_eright
- **Relation ID:** `chiral_to_eright`
- **Direction:** [Standard Model chiral fermion multiplet](https://atlas.madvay.com/concepts/standard_model_chiral_multiplet/) → [Right-handed charged-lepton field](https://atlas.madvay.com/concepts/right_handed_charged_lepton_field/)
- **Relation type:** Classification (`classification`)
- **Endpoint roles:** source is Has subtype; target is Classified as.
- **Authored annotation:** right charged-lepton singlet

**Authored explanation:** One Standard Model chiral representation type is the right-handed charged-lepton singlet.

**Edge-type interpretation:** The target is a member or subtype of the broader source class.

**Relation sources:**
- [Wikipedia — Mathematical formulation of the Standard Model](https://en.wikipedia.org/wiki/Mathematical_formulation_of_the_Standard_Model) — Mathematical formulation of the Standard Model (encyclopedic reference; source ID `wp-physics-standard_model_chiral_multiplet`)
- [nLab — standard model of particle physics](https://ncatlab.org/nlab/show/standard+model+of+particle+physics) — standard model of particle physics (mathematical physics reference; source ID `nlab-physics-standard_model`)
- [PDG — Electroweak Model and Constraints on New Physics (Review of Particle Physics 2026)](https://pdg.lbl.gov/2026/reviews/rpp2026-rev-standard-model.pdf) — Electroweak Model and Constraints on New Physics (Review of Particle Physics 2026) (Particle Data Group review; source ID `pdg-standard-model`)
- [Cambridge — Particle Physics](https://www.damtp.cam.ac.uk/user/tong/particle.html) — Particle Physics (University of Cambridge lecture notes; source ID `tong-particle`)

## Outgoing relations (arrows from this concept)

### Right-handed charged-lepton field → Lepton field

- **Relation URL:** https://atlas.madvay.com/concepts/lepton_field/#relation-eright_to_leptonfield
- **Relation ID:** `eright_to_leptonfield`
- **Direction:** [Right-handed charged-lepton field](https://atlas.madvay.com/concepts/right_handed_charged_lepton_field/) → [Lepton field](https://atlas.madvay.com/concepts/lepton_field/)
- **Relation type:** Theory component (`theory-component`)
- **Endpoint roles:** source is Contributes to; target is Contains theory component.
- **Authored annotation:** right-handed charged-lepton components

**Authored explanation:** The lepton field content includes right-handed charged-lepton weak singlets.

**Edge-type interpretation:** The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.

**Relation sources:**
- [Wikipedia — Mathematical formulation of the Standard Model](https://en.wikipedia.org/wiki/Mathematical_formulation_of_the_Standard_Model) — Mathematical formulation of the Standard Model (encyclopedic reference; source ID `wp-physics-standard_model_chiral_multiplet`)
- [PDG — Electroweak Model and Constraints on New Physics (Review of Particle Physics 2026)](https://pdg.lbl.gov/2026/reviews/rpp2026-rev-standard-model.pdf) — Electroweak Model and Constraints on New Physics (Review of Particle Physics 2026) (Particle Data Group review; source ID `pdg-standard-model`)
- [Cambridge — Particle Physics](https://www.damtp.cam.ac.uk/user/tong/particle.html) — Particle Physics (University of Cambridge lecture notes; source ID `tong-particle`)
- [Wikipedia — Lepton](https://en.wikipedia.org/wiki/Lepton) — Lepton (encyclopedic reference; source ID `wp-physics-lepton`)
- [PDG — Neutrino Masses, Mixing, and Oscillations (Review of Particle Physics 2026)](https://pdg.lbl.gov/2026/reviews/rpp2026-rev-neutrino-mixing.pdf) — Neutrino Masses, Mixing, and Oscillations (Review of Particle Physics 2026) (Particle Data Group review; source ID `pdg-2026-neutrino`)

## License and attribution

License URL: https://creativecommons.org/licenses/by-sa/4.0/

mAtlas - Copyright (c) 2026 Advay Mengle - https://atlas.madvay.com/concepts/right_handed_charged_lepton_field/index.html.md