# Mass dependence of Higgs production at large transverse momentum

## Abstract

The transverse momentum distribution of the Higgs at large *P _{T}* is complicated by its dependence on three important energy scales:

*P*, the top quark mass

_{T}*m*, and the Higgs mass

_{t}*m*. A strategy for simplifying the calculation of the cross section at large

_{H}*P*is to calculate only the leading terms in its expansion in m

_{T}*t*

^{2}/

*P*

_{T}^{2}and/or m

*H*

^{2}/

*P*

_{T}^{2}. The expansion of the cross section in inverse powers of

*P*is complicated by logarithms of

_{T}*P*and by mass singularities. In this paper, we consider the top-quark loop contribution to the subprocess qq¯¯ →

_{T}*H*+ g at leading order in αs. We show that the leading power of 1/

*P*

_{T}^{2}can be expressed in the form of a factorization formula that separates the large scale

*P*from the scale of the masses. All the dependence on

_{T}*m*and

_{t}*m*can be factorized into a distribution amplitude for

_{H}*tt*¯ in the Higgs, a distribution amplitude for

*tt*¯ in a real gluon, and an endpoint contribution. The factorization formula can be used to simplify calculations of the

*P*distribution at large

_{T}*P*to next-to-leading order in αmore »

_{T}- Authors:

- The Ohio State Univ., Columbus, OH (United States). Dept. of Physics
- The Ohio State Univ., Columbus, OH (United States). Dept. of Physics; Chongqing Univ. of Science and Technology, Chongqing (China). Dept. of Physics

- Publication Date:

- Research Org.:
- The Ohio State Univ., Columbus, OH (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1499188

- Grant/Contract Number:
- [SC0011726]

- Resource Type:
- 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: 11]; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; NLO Computations

### Citation Formats

```
Braaten, Eric, Zhang, Hong, and Zhang, Jia -Wei. Mass dependence of Higgs production at large transverse momentum. United States: N. p., 2017.
Web. doi:10.1007/jhep11(2017)127.
```

```
Braaten, Eric, Zhang, Hong, & Zhang, Jia -Wei. Mass dependence of Higgs production at large transverse momentum. United States. doi:10.1007/jhep11(2017)127.
```

```
Braaten, Eric, Zhang, Hong, and Zhang, Jia -Wei. Tue .
"Mass dependence of Higgs production at large transverse momentum". United States. doi:10.1007/jhep11(2017)127. https://www.osti.gov/servlets/purl/1499188.
```

```
@article{osti_1499188,
```

title = {Mass dependence of Higgs production at large transverse momentum},

author = {Braaten, Eric and Zhang, Hong and Zhang, Jia -Wei},

abstractNote = {The transverse momentum distribution of the Higgs at large PT is complicated by its dependence on three important energy scales: PT, the top quark mass mt, and the Higgs mass mH. A strategy for simplifying the calculation of the cross section at large PT is to calculate only the leading terms in its expansion in m t 2 /P T 2 and/or m H 2 /P T 2 . The expansion of the cross section in inverse powers of PT is complicated by logarithms of PT and by mass singularities. In this paper, we consider the top-quark loop contribution to the subprocess qq¯¯ → H + g at leading order in αs. We show that the leading power of 1/P T 2 can be expressed in the form of a factorization formula that separates the large scale PT from the scale of the masses. All the dependence on mt and mH can be factorized into a distribution amplitude for tt¯ in the Higgs, a distribution amplitude for tt¯ in a real gluon, and an endpoint contribution. The factorization formula can be used to simplify calculations of the PT distribution at large PT to next-to-leading order in αs. Here, the results are readily applied to the qg process via a straightforward analytical continuation.},

doi = {10.1007/jhep11(2017)127},

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

number = [11],

volume = [2017],

place = {United States},

year = {2017},

month = {11}

}

*Citation information provided by*

Web of Science

Web of Science

#### Figures / Tables:

*qq̄*→

*H*+

*g*at LO.

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Figures / Tables found in this record:

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