# Precision predictions at ${\mathrm{N}}^{3}\mathrm{LO}$ for the Higgs boson rapidity distribution at the LHC

## Abstract

We present precise predictions for the Higgs boson rapidity distribution at the LHC in the gluon fusion production mode. Our approach relies on the fully analytic computation of six terms in a systematic expansion of the partonic differential cross section around the production threshold of the Higgs boson at next-to-next-to-next-to-leading order (N ^{3}LO) in QCD perturbation theory. As a result, we observe a mild correction compared to the previous perturbative order and a significant reduction of the dependence of the cross section on the perturbative scale throughout the entire rapidity range.

- Authors:

- Publication Date:

- Research Org.:
- SLAC National Accelerator Lab. (SLAC), Menlo Park, CA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1494654

- Alternate Identifier(s):
- OSTI ID: 1502998

- Report Number(s):
- SLAC-PUB-17342

Journal ID: ISSN 2470-0010; 034004

- Grant/Contract Number:
- AC02-76SF00515

- Resource Type:
- Journal Article: Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 3; 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

### Citation Formats

```
Dulat, Falko, Mistlberger, Bernhard, and Pelloni, Andrea.
```*Precision predictions at N 3 LO for the Higgs boson rapidity distribution at the LHC*. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.99.034004.

```
Dulat, Falko, Mistlberger, Bernhard, & Pelloni, Andrea.
```*Precision predictions at N 3 LO for the Higgs boson rapidity distribution at the LHC*. United States. doi:10.1103/PhysRevD.99.034004.

```
Dulat, Falko, Mistlberger, Bernhard, and Pelloni, Andrea. Wed .
"Precision predictions at N 3 LO for the Higgs boson rapidity distribution at the LHC". United States. doi:10.1103/PhysRevD.99.034004.
```

```
@article{osti_1494654,
```

title = {Precision predictions at N 3 LO for the Higgs boson rapidity distribution at the LHC},

author = {Dulat, Falko and Mistlberger, Bernhard and Pelloni, Andrea},

abstractNote = {We present precise predictions for the Higgs boson rapidity distribution at the LHC in the gluon fusion production mode. Our approach relies on the fully analytic computation of six terms in a systematic expansion of the partonic differential cross section around the production threshold of the Higgs boson at next-to-next-to-next-to-leading order (N3LO) in QCD perturbation theory. As a result, we observe a mild correction compared to the previous perturbative order and a significant reduction of the dependence of the cross section on the perturbative scale throughout the entire rapidity range.},

doi = {10.1103/PhysRevD.99.034004},

journal = {Physical Review D},

issn = {2470-0010},

number = 3,

volume = 99,

place = {United States},

year = {2019},

month = {2}

}

Free Publicly Available Full Text

Publisher's Version of Record at 10.1103/PhysRevD.99.034004

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Cited by: 17 works

*Citation information provided by*

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Web of Science

#### Figures / Tables:

Figure 1: Approximate Higgs boson rapidity distribution with threshold expansion truncated at different orders. The left panel shows the ratio of the approximate NNLO to the exact result, the right panel shows the approximate N

^{3}LO result to the best prediction obtained in this work.
All figures and tables
(2 total)

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