# Constraints on the trilinear Higgs self coupling from precision observables

## Abstract

We present the constraints on the trilinear Higgs self coupling that arise from loop effects in the W boson mass and the effective sine predictions. Here, we compute the contributions to these precision observables of two-loop diagrams featuring an anomalous trilinear Higgs self coupling. We explicitly show that the same anomalous contributions are found if the analysis of m _{W} and sin ^{2}θ$$lep\atop{eff}$$ is performed in a theory in which the scalar potential in the Standard Model Lagrangian is modified by an (in)finite tower of (Φ ^{†}Φ) ^{n} terms with Φ the Higgs doublet. Lastly, we find that the bounds on the trilinear Higgs self coupling from precision observables are competitive with those coming from Higgs pair production.

- Authors:

- Sapienza Univ. of Rome Tre (Italy). Dept. of Mathematics and Physics; National Inst. of Nuclear Physics (INFN), Rome (Italy)
- Sapienza Univ. of Rome (Italy). La Sapienza, Dept. of Physics; National Inst. of Nuclear Physics (INFN), Rome (Italy)
- Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Physics

- Publication Date:

- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)

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

- OSTI Identifier:
- 1361236

- Report Number(s):
- BNL-113809-2017-JA

Journal ID: ISSN 1029-8479; KA2401012

- Grant/Contract Number:
- SC0012704

- Resource Type:
- Journal Article: Accepted Manuscript

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

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 4; 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; Higgs Physics

### Citation Formats

```
Degrassi, G., Fedele, M., and Giardino, P. P..
```*Constraints on the trilinear Higgs self coupling from precision observables*. United States: N. p., 2017.
Web. doi:10.1007/JHEP04(2017)155.

```
Degrassi, G., Fedele, M., & Giardino, P. P..
```*Constraints on the trilinear Higgs self coupling from precision observables*. United States. doi:10.1007/JHEP04(2017)155.

```
Degrassi, G., Fedele, M., and Giardino, P. P.. Thu .
"Constraints on the trilinear Higgs self coupling from precision observables". United States.
doi:10.1007/JHEP04(2017)155. https://www.osti.gov/servlets/purl/1361236.
```

```
@article{osti_1361236,
```

title = {Constraints on the trilinear Higgs self coupling from precision observables},

author = {Degrassi, G. and Fedele, M. and Giardino, P. P.},

abstractNote = {We present the constraints on the trilinear Higgs self coupling that arise from loop effects in the W boson mass and the effective sine predictions. Here, we compute the contributions to these precision observables of two-loop diagrams featuring an anomalous trilinear Higgs self coupling. We explicitly show that the same anomalous contributions are found if the analysis of mW and sin2θ$lep\atop{eff}$ is performed in a theory in which the scalar potential in the Standard Model Lagrangian is modified by an (in)finite tower of (Φ†Φ)n terms with Φ the Higgs doublet. Lastly, we find that the bounds on the trilinear Higgs self coupling from precision observables are competitive with those coming from Higgs pair production.},

doi = {10.1007/JHEP04(2017)155},

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

number = 4,

volume = 2017,

place = {United States},

year = {Thu Apr 27 00:00:00 EDT 2017},

month = {Thu Apr 27 00:00:00 EDT 2017}

}

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