# Baryon and lepton number violating effective operators in a non-universal extension of the standard model

## Abstract

It is well known that non-abelian Yang-Mills theories present non-trivial minima of the action, the so-called instantons. In the context of electroweak theories these instanton solutions may induce violations of baryon and lepton number of the form ΔB = ΔL = n{sub f}, with n{sub f} being the number of families coupled to the gauge group. An interesting feature of these violations is that the flavor structure of the gauge couplings is inherited by the instanton transitions. This effect is generally neglected in the literature. We will show that the inclusion of flavor interactions in the instanton solutions may be interesting in certain theoretical frameworks and will provide an approach to include these effects. In particular we will perform this implementation in the non-universal SU (2){sub l} ⊗SU (2){sub h} ⊗U (1){sub Y} model that singularizes the third family. Within this framework, we will use the instanton transitions to set a bound on the SU (2){sub h} gauge coupling.

- Authors:

- Instituto de Física Corpuscular, CSIC - Universitat de València, Apt. Correus 22085, E-46071 València (Spain)

- Publication Date:

- OSTI Identifier:
- 22499076

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1701; Journal Issue: 1; Conference: 11. conference on quark confinement and hadron spectrum, Saint Petersburg (Russian Federation), 8-12 Sep 2014; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYONS; COUPLINGS; FLAVOR MODEL; INSTANTONS; LEPTON NUMBER; STANDARD MODEL; VIOLATIONS; YANG-MILLS THEORY

### Citation Formats

```
Fuentes-Martín, J.
```*Baryon and lepton number violating effective operators in a non-universal extension of the standard model*. United States: N. p., 2016.
Web. doi:10.1063/1.4938687.

```
Fuentes-Martín, J.
```*Baryon and lepton number violating effective operators in a non-universal extension of the standard model*. United States. doi:10.1063/1.4938687.

```
Fuentes-Martín, J. Fri .
"Baryon and lepton number violating effective operators in a non-universal extension of the standard model". United States. doi:10.1063/1.4938687.
```

```
@article{osti_22499076,
```

title = {Baryon and lepton number violating effective operators in a non-universal extension of the standard model},

author = {Fuentes-Martín, J.},

abstractNote = {It is well known that non-abelian Yang-Mills theories present non-trivial minima of the action, the so-called instantons. In the context of electroweak theories these instanton solutions may induce violations of baryon and lepton number of the form ΔB = ΔL = n{sub f}, with n{sub f} being the number of families coupled to the gauge group. An interesting feature of these violations is that the flavor structure of the gauge couplings is inherited by the instanton transitions. This effect is generally neglected in the literature. We will show that the inclusion of flavor interactions in the instanton solutions may be interesting in certain theoretical frameworks and will provide an approach to include these effects. In particular we will perform this implementation in the non-universal SU (2){sub l} ⊗SU (2){sub h} ⊗U (1){sub Y} model that singularizes the third family. Within this framework, we will use the instanton transitions to set a bound on the SU (2){sub h} gauge coupling.},

doi = {10.1063/1.4938687},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1701,

place = {United States},

year = {Fri Jan 22 00:00:00 EST 2016},

month = {Fri Jan 22 00:00:00 EST 2016}

}