## A geometric formulation of Higgs Effective Field Theory. Measuring the curvature of scalar field space

## Abstract

A geometric formulation of Higgs Effective Field Theory (HEFT) is presented. Experimental observables are given in terms of geometric invariants of the scalar sigma model sector such as the curvature of the scalar field manifold M. Here we show how the curvature can be measured experimentally via Higgs cross-sections, WLscattering, and the Sparameter. The one-loop action of HEFT is given in terms of geometric invariants of M. Moreover, the distinction between the Standard Model (SM) and HEFT is whether Mis flat or curved, and the curvature is a signal of the scale of new physics.

- Authors:

- Univ. of California, San Diego, CA (United States)
- Univ. of California, San Diego, CA (United States); CERN TH Division, Geneva (Switzerland)

- Publication Date:

- Research Org.:
- Univ. of California, San Diego, CA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1236103

- Alternate Identifier(s):
- OSTI ID: 1249056

- Grant/Contract Number:
- SC0009919

- Resource Type:
- Published Article

- Journal Name:
- Physics Letters. Section B

- Additional Journal Information:
- Journal Volume: 754; Journal Issue: C; Journal ID: ISSN 0370-2693

- Publisher:
- Elsevier

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

### Citation Formats

```
Alonso, Rodrigo, Jenkins, Elizabeth E., and Manohar, Aneesh V. A geometric formulation of Higgs Effective Field Theory. Measuring the curvature of scalar field space. United States: N. p., 2016.
Web. doi:10.1016/j.physletb.2016.01.041.
```

```
Alonso, Rodrigo, Jenkins, Elizabeth E., & Manohar, Aneesh V. A geometric formulation of Higgs Effective Field Theory. Measuring the curvature of scalar field space. United States. doi:10.1016/j.physletb.2016.01.041.
```

```
Alonso, Rodrigo, Jenkins, Elizabeth E., and Manohar, Aneesh V. Tue .
"A geometric formulation of Higgs Effective Field Theory. Measuring the curvature of scalar field space". United States. doi:10.1016/j.physletb.2016.01.041.
```

```
@article{osti_1236103,
```

title = {A geometric formulation of Higgs Effective Field Theory. Measuring the curvature of scalar field space},

author = {Alonso, Rodrigo and Jenkins, Elizabeth E. and Manohar, Aneesh V.},

abstractNote = {A geometric formulation of Higgs Effective Field Theory (HEFT) is presented. Experimental observables are given in terms of geometric invariants of the scalar sigma model sector such as the curvature of the scalar field manifold M. Here we show how the curvature can be measured experimentally via Higgs cross-sections, WLscattering, and the Sparameter. The one-loop action of HEFT is given in terms of geometric invariants of M. Moreover, the distinction between the Standard Model (SM) and HEFT is whether Mis flat or curved, and the curvature is a signal of the scale of new physics.},

doi = {10.1016/j.physletb.2016.01.041},

journal = {Physics Letters. Section B},

number = C,

volume = 754,

place = {United States},

year = {2016},

month = {3}

}

Free Publicly Available Full Text

Publisher's Version of Record

DOI: 10.1016/j.physletb.2016.01.041

DOI: 10.1016/j.physletb.2016.01.041

Other availability

Cited by: 17 works

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