# Colorful imprints of heavy states in the electroweak effective theory

## Abstract

We analyze heavy states from generic ultraviolet completions of the Standard Model in a model-independent way and investigate their implications on the low-energy couplings of the electroweak effective theory. We build a general effective Lagrangian, implementing the electroweak symmetry breaking SU(2)$$_{L}$$ Ⓧ SU(2) _{R} → SU(2) _{L+R} with a non-linear Nambu-Goldstone realization, which couples the known particles to the heavy states. We generalize the formalism developed in previous works [1, 2] to include colored resonances, both of bosonic and fermionic type. We study bosonic heavy states with *J ^{P}* = 0

^{±}and

*J*= 1

^{P}^{±}, in singlet or triplet SU(2)

_{L+R}representations and in singlet or octet representations of SU(3)

_{C}, and fermionic resonances with

*J*= 1/2 that are electroweak doublets and QCD triplets or singlets. Integrating out the heavy scales, we determine the complete pattern of low-energy couplings at the lowest non-trivial order. Some specific types of (strongly- and weakly-coupled) ultraviolet completions are discussed to illustrate the generality of our approach and to make contact with current experimental searches.

- Authors:

- Univ. de Valencia - CSIC, Valencia (Spain); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Univ. de Valencia - CSIC, Valencia (Spain)
- Univ. Cardenal Herrera-CEU, Valencia (Spain)
- Univ. Complutense de Madrid, Madrid (Spain)

- Publication Date:

- Research Org.:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1487401

- Report Number(s):
- arXiv:1810.10544; IFIC/18-07; FTUV/18-1026; FERMILAB-PUB-18-550-T; VBSCAN-PUB-06-18

Journal ID: ISSN 1029-8479; 1700399

- Grant/Contract Number:
- AC02-07CH11359

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 5; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Beyond Standard Model; Chiral Lagrangians; Effective Field Theories; Higgs Physics

### Citation Formats

```
Krause, Claudius, Pich, Antonio, Rosell, Ignasi, Santos, Joaquín, and Sanz-Cillero, Juan José. Colorful imprints of heavy states in the electroweak effective theory. United States: N. p., 2019.
Web. doi:10.1007/JHEP05(2019)092.
```

```
Krause, Claudius, Pich, Antonio, Rosell, Ignasi, Santos, Joaquín, & Sanz-Cillero, Juan José. Colorful imprints of heavy states in the electroweak effective theory. United States. doi:10.1007/JHEP05(2019)092.
```

```
Krause, Claudius, Pich, Antonio, Rosell, Ignasi, Santos, Joaquín, and Sanz-Cillero, Juan José. Fri .
"Colorful imprints of heavy states in the electroweak effective theory". United States. doi:10.1007/JHEP05(2019)092. https://www.osti.gov/servlets/purl/1487401.
```

```
@article{osti_1487401,
```

title = {Colorful imprints of heavy states in the electroweak effective theory},

author = {Krause, Claudius and Pich, Antonio and Rosell, Ignasi and Santos, Joaquín and Sanz-Cillero, Juan José},

abstractNote = {We analyze heavy states from generic ultraviolet completions of the Standard Model in a model-independent way and investigate their implications on the low-energy couplings of the electroweak effective theory. We build a general effective Lagrangian, implementing the electroweak symmetry breaking SU(2)$_{L}$ Ⓧ SU(2)R → SU(2)L+R with a non-linear Nambu-Goldstone realization, which couples the known particles to the heavy states. We generalize the formalism developed in previous works [1, 2] to include colored resonances, both of bosonic and fermionic type. We study bosonic heavy states with JP = 0± and JP = 1±, in singlet or triplet SU(2)L+R representations and in singlet or octet representations of SU(3)C , and fermionic resonances with J = 1/2 that are electroweak doublets and QCD triplets or singlets. Integrating out the heavy scales, we determine the complete pattern of low-energy couplings at the lowest non-trivial order. Some specific types of (strongly- and weakly-coupled) ultraviolet completions are discussed to illustrate the generality of our approach and to make contact with current experimental searches.},

doi = {10.1007/JHEP05(2019)092},

journal = {Journal of High Energy Physics (Online)},

number = 5,

volume = 2019,

place = {United States},

year = {2019},

month = {5}

}

#### Figures / Tables:

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Figures / Tables found in this record:

*Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.*