### Abstract

Solutions to the electroweak hierarchy problem typically introduce a new symmetry to stabilize the quadratic ultraviolet sensitivity in the self-energy of the Higgs boson. The new symmetry is either broken softly or collectively, as for example in supersymmetric and little Higgs theories. At low energies such theories contain naturalness partners of the Standard Model fields which are responsible for canceling the quadratic divergence in the squared Higgs mass. Post the discovery of any partner-like particles, we propose to test the aforementioned cancellation by measuring relevant Higgs couplings. Using the fermionic top partners in little Higgs theories as an illustration, we construct a simplified model for naturalness and initiate a study on testing naturalness. After electroweak symmetry breaking, naturalness in the top sector requires a
_{T}
= − λ
_{t}
^{2}
at leading order, where λ
_{t}
and a
_{T}
are the Higgs couplings to a pair of top quarks and top partners, respectively. Using a multivariate method of Boosted Decision Tree to tag boosted particles in the Standard Model, we show that, with a luminosity of 30 ab
^{−1}
at a 100 TeV pp-collider, naturalness could be tested with a precision of 10% for a top partner mass up to 2.5 TeV.

Original language | English |
---|---|

Article number | 129 |

Journal | Journal of High Energy Physics |

Volume | 2017 |

Issue number | 9 |

DOIs | |

Publication status | Published - 2017 Sep 1 |

### Fingerprint

### Keywords

- Beyond Standard Model
- Higgs Physics
- Technicolor and Composite Models

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*2017*(9), [129]. https://doi.org/10.1007/JHEP09(2017)129

**Testing naturalness at 100 TeV.** / Chen, Chuan-Ren; Hajer, Jan; Liu, Tao; Low, Ian; Zhang, Hao.

Research output: Contribution to journal › Article

*Journal of High Energy Physics*, vol. 2017, no. 9, 129. https://doi.org/10.1007/JHEP09(2017)129

}

TY - JOUR

T1 - Testing naturalness at 100 TeV

AU - Chen, Chuan-Ren

AU - Hajer, Jan

AU - Liu, Tao

AU - Low, Ian

AU - Zhang, Hao

PY - 2017/9/1

Y1 - 2017/9/1

N2 - Solutions to the electroweak hierarchy problem typically introduce a new symmetry to stabilize the quadratic ultraviolet sensitivity in the self-energy of the Higgs boson. The new symmetry is either broken softly or collectively, as for example in supersymmetric and little Higgs theories. At low energies such theories contain naturalness partners of the Standard Model fields which are responsible for canceling the quadratic divergence in the squared Higgs mass. Post the discovery of any partner-like particles, we propose to test the aforementioned cancellation by measuring relevant Higgs couplings. Using the fermionic top partners in little Higgs theories as an illustration, we construct a simplified model for naturalness and initiate a study on testing naturalness. After electroweak symmetry breaking, naturalness in the top sector requires a T = − λ t 2 at leading order, where λ t and a T are the Higgs couplings to a pair of top quarks and top partners, respectively. Using a multivariate method of Boosted Decision Tree to tag boosted particles in the Standard Model, we show that, with a luminosity of 30 ab −1 at a 100 TeV pp-collider, naturalness could be tested with a precision of 10% for a top partner mass up to 2.5 TeV.

AB - Solutions to the electroweak hierarchy problem typically introduce a new symmetry to stabilize the quadratic ultraviolet sensitivity in the self-energy of the Higgs boson. The new symmetry is either broken softly or collectively, as for example in supersymmetric and little Higgs theories. At low energies such theories contain naturalness partners of the Standard Model fields which are responsible for canceling the quadratic divergence in the squared Higgs mass. Post the discovery of any partner-like particles, we propose to test the aforementioned cancellation by measuring relevant Higgs couplings. Using the fermionic top partners in little Higgs theories as an illustration, we construct a simplified model for naturalness and initiate a study on testing naturalness. After electroweak symmetry breaking, naturalness in the top sector requires a T = − λ t 2 at leading order, where λ t and a T are the Higgs couplings to a pair of top quarks and top partners, respectively. Using a multivariate method of Boosted Decision Tree to tag boosted particles in the Standard Model, we show that, with a luminosity of 30 ab −1 at a 100 TeV pp-collider, naturalness could be tested with a precision of 10% for a top partner mass up to 2.5 TeV.

KW - Beyond Standard Model

KW - Higgs Physics

KW - Technicolor and Composite Models

UR - http://www.scopus.com/inward/record.url?scp=85030095512&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85030095512&partnerID=8YFLogxK

U2 - 10.1007/JHEP09(2017)129

DO - 10.1007/JHEP09(2017)129

M3 - Article

VL - 2017

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 9

M1 - 129

ER -