# Combined analysis of double Higgs production via gluon fusion at the HL-LHC in the effective field theory approach

## Abstract

We perform the combined analysis of the double Higgs production via gluon fusion in the $$b\overline{b}{\gamma}{\gamma}$$ and $$b\overline{b}{{\tau}}^{+}{{\tau}}^{{-}}$$ decay channels at the High-Luminosity LHC (HL-LHC). To validate our analysis, we reproduce the ATLAS result of the $$b\overline{b}{\gamma}{\gamma}$$ process including all contributions from fakes. For the $$b\overline{b}{{\tau}}^{+}{{\tau}}^{{-}}$$ decay channel, we perform the similar analysis to the CMS one. As an improvement, we also perform the multivariate analysis employing the boosted decision tree algorithm. Then, we derive 68% probability contours on anomalous Higgs couplings in the effective field theory (EFT) approach for various analyses. We find that the $$b\overline{b}{{\tau}}^{+}{{\tau}}^{{-}}$$ process outperforms the $$b\overline{b}{\gamma}{\gamma}$$ for the measurement of energy-growing operators, while adding the $$b\overline{b}{{\tau}}^{+}{{\tau}}^{{-}}$$ process is least beneficial for improving the precision of the Higgs self-coupling (mainly set by the $$b\overline{b}{\gamma}{\gamma}$$ process). We illustrate that the double Higgs production alone can be comparable to the single Higgs process in constraining the modification of the top Yukawa coupling in the positive direction. Focusing on the Higgs self-coupling as a special interest, we derive the precision as a function of various improvable parameters such as tag and mistag rates of tau leptons, heavy flavor jets, photon identification, and diphoton mass resolution to take into account future phenomenological studies. As an optimistic benchmark scenario, we illustrate that the 68% and 95% probability intervals of the Higgs self-coupling, $${{\lambda}}_{3}/{{\lambda}}_{3}^{\mathrm{SM}}$$, at the HL-LHC can reach [0.2, 2.3] and $$[{-}0.1,3.5]{\cup}[4.0,6.5]$$, respectively, where the correlation among the EFT coefficients is taken into account.

- Authors:

- Univ. of Kansas, Lawrence, KS (United States). Dept. of Physics and Astronomy
- Korea Advanced Inst. of Science and Technology (KAIST), Daejeon (Korea, Republic of). Dept. of Physics

- Publication Date:

- Research Org.:
- Univ. of Kansas, Lawrence, KS (United States); Korea Advanced Inst. of Science and Technology (KAIST), Daejeon (Korea, Republic of)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); Univ. of Kansas (United States); Samsung Science and Technology Foundation (Korea, Republic of)

- OSTI Identifier:
- 1460033

- Alternate Identifier(s):
- OSTI ID: 1503837

- Grant/Contract Number:
- SC0017988; SSTF-BA1602-04; 2302091

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Volume: 98; Journal Issue: 1; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; extensions of Higgs sector

### Citation Formats

```
Kim, Jeong Han, Sakaki, Yasuhito, and Son, Minho. Combined analysis of double Higgs production via gluon fusion at the HL-LHC in the effective field theory approach. United States: N. p., 2018.
Web. doi:10.1103/physrevd.98.015016.
```

```
Kim, Jeong Han, Sakaki, Yasuhito, & Son, Minho. Combined analysis of double Higgs production via gluon fusion at the HL-LHC in the effective field theory approach. United States. doi:10.1103/physrevd.98.015016.
```

```
Kim, Jeong Han, Sakaki, Yasuhito, and Son, Minho. Thu .
"Combined analysis of double Higgs production via gluon fusion at the HL-LHC in the effective field theory approach". United States. doi:10.1103/physrevd.98.015016.
```

```
@article{osti_1460033,
```

title = {Combined analysis of double Higgs production via gluon fusion at the HL-LHC in the effective field theory approach},

author = {Kim, Jeong Han and Sakaki, Yasuhito and Son, Minho},

abstractNote = {We perform the combined analysis of the double Higgs production via gluon fusion in the $b\overline{b}{\gamma}{\gamma}$ and $b\overline{b}{{\tau}}^{+}{{\tau}}^{{-}}$ decay channels at the High-Luminosity LHC (HL-LHC). To validate our analysis, we reproduce the ATLAS result of the $b\overline{b}{\gamma}{\gamma}$ process including all contributions from fakes. For the $b\overline{b}{{\tau}}^{+}{{\tau}}^{{-}}$ decay channel, we perform the similar analysis to the CMS one. As an improvement, we also perform the multivariate analysis employing the boosted decision tree algorithm. Then, we derive 68% probability contours on anomalous Higgs couplings in the effective field theory (EFT) approach for various analyses. We find that the $b\overline{b}{{\tau}}^{+}{{\tau}}^{{-}}$ process outperforms the $b\overline{b}{\gamma}{\gamma}$ for the measurement of energy-growing operators, while adding the $b\overline{b}{{\tau}}^{+}{{\tau}}^{{-}}$ process is least beneficial for improving the precision of the Higgs self-coupling (mainly set by the $b\overline{b}{\gamma}{\gamma}$ process). We illustrate that the double Higgs production alone can be comparable to the single Higgs process in constraining the modification of the top Yukawa coupling in the positive direction. Focusing on the Higgs self-coupling as a special interest, we derive the precision as a function of various improvable parameters such as tag and mistag rates of tau leptons, heavy flavor jets, photon identification, and diphoton mass resolution to take into account future phenomenological studies. As an optimistic benchmark scenario, we illustrate that the 68% and 95% probability intervals of the Higgs self-coupling, ${{\lambda}}_{3}/{{\lambda}}_{3}^{\mathrm{SM}}$, at the HL-LHC can reach [0.2, 2.3] and $[{-}0.1,3.5]{\cup}[4.0,6.5]$, respectively, where the correlation among the EFT coefficients is taken into account.},

doi = {10.1103/physrevd.98.015016},

journal = {Physical Review D},

number = 1,

volume = 98,

place = {United States},

year = {2018},

month = {7}

}

DOI: 10.1103/physrevd.98.015016

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##
Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC

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##
Di-Higgs final states augMT2ed – Selecting hh events at the high luminosity LHC

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##
Resolving the degeneracy in single Higgs production with Higgs pair production

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- Cao, Qing-Hong; Yan, Bin; Zhang, Dong-Ming
- Physics Letters B, Vol. 752

##
A variable for measuring masses at hadron colliders when missing energy is expected; *m* _{ T 2 } : the truth behind the glamour

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- Journal of Physics G: Nuclear and Particle Physics, Vol. 29, Issue 10

##
The strongly-interacting light Higgs

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- Journal of High Energy Physics, Vol. 2007, Issue 06

##
Scalar one-loop integrals for QCD

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- Ellis, R. Keith; Zanderighi, Giulia
- Journal of High Energy Physics, Vol. 2008, Issue 02

##
The anti- *k* _{ t } jet clustering algorithm

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- Cacciari, Matteo; Salam, Gavin P.; Soyez, Gregory
- Journal of High Energy Physics, Vol. 2008, Issue 04

##
Minimal kinematic constraints and *m* _{ T 2 }

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- Cheng, Hsin-Chia; Han, Zhenyu
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##
Electroweak baryogenesis

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##
The toolkit for multivariate data analysis, TMVA 4

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##
Non-resonant Higgs-pair production in the $$b\overline{b}$$ b b ¯ $$b\overline{b}$$ b b ¯ final state at the LHC

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- Wardrope, David; Jansen, Eric; Konstantinidis, Nikos
- The European Physical Journal C, Vol. 75, Issue 5

##
Boosting Higgs pair production in the $$b\bar{b}b\bar{b}$$ b b ¯ b b ¯ final state with multivariate techniques

journal, July 2016

- Behr, J. Katharina; Bortoletto, Daniela; Frost, James A.
- The European Physical Journal C, Vol. 76, Issue 7

##
Higgs pair production in vector-boson fusion at the LHC and beyond

journal, July 2017

- Bishara, Fady; Contino, Roberto; Rojo, Juan
- The European Physical Journal C, Vol. 77, Issue 7

##
Trilinear Higgs coupling determination via single-Higgs differential measurements at the LHC

journal, December 2017

- Maltoni, Fabio; Pagani, Davide; Shivaji, Ambresh
- The European Physical Journal C, Vol. 77, Issue 12