## $N$ -jettiness subtractions for $gg\to H$ at subleading power

## Abstract

N -jettiness subtractions provide a general approach for performing fully-differential next-to-next-to-leading order (NNLO) calculations. Since they are based on the physical resolution variable N -jettiness, T _{N}, subleading power corrections in τ =T _{N}/Q, with Q a hard interaction scale, can also be systematically computed. We study the structure of power corrections for 0-jettiness, T _{0}, for the gg → H process. Using the soft-collinear effective theory we analytically compute the leading power corrections α _{s}τlnτ and α$$2\atop{s}$$τln ^{3}τ (finding partial agreement with a previous result in the literature), and perform a detailed numerical study of the power corrections in the gg, gq, and $$q\overline{q}$$ channels. This includes a numerical extraction of the α _{s}τ and α$$2\atop{s}$$sτln ^{2}τ corrections, and a study of the dependence on the T _{0} definition. Including such power suppressed logarithms significantly reduces the size of missing power corrections, and hence improves the numerical efficiency of the subtraction method. Having a more detailed understanding of the power corrections for both $$q\overline{q}$$ and gg initiated processes also provides insight into their universality, and hence their behavior in more complicated processes where they have not yet been analytically calculated.

- Authors:

- Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Zhejiang Univ., Hangzhou (China)

- Publication Date:

- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1417927

- Alternate Identifier(s):
- OSTI ID: 1485073

- Grant/Contract Number:
- AC02-05CH11231; SC0011090

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Volume: 97; 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

### Citation Formats

```
Moult, Ian, Rothen, Lorena, Stewart, Iain W., Tackmann, Frank J., and Zhu, Hua Xing. N -jettiness subtractions for gg→H at subleading power. United States: N. p., 2018.
Web. doi:10.1103/physrevd.97.014013.
```

```
Moult, Ian, Rothen, Lorena, Stewart, Iain W., Tackmann, Frank J., & Zhu, Hua Xing. N -jettiness subtractions for gg→H at subleading power. United States. doi:10.1103/physrevd.97.014013.
```

```
Moult, Ian, Rothen, Lorena, Stewart, Iain W., Tackmann, Frank J., and Zhu, Hua Xing. Wed .
"N -jettiness subtractions for gg→H at subleading power". United States. doi:10.1103/physrevd.97.014013.
```

```
@article{osti_1417927,
```

title = {N -jettiness subtractions for gg→H at subleading power},

author = {Moult, Ian and Rothen, Lorena and Stewart, Iain W. and Tackmann, Frank J. and Zhu, Hua Xing},

abstractNote = {N -jettiness subtractions provide a general approach for performing fully-differential next-to-next-to-leading order (NNLO) calculations. Since they are based on the physical resolution variable N -jettiness, TN, subleading power corrections in τ =TN/Q, with Q a hard interaction scale, can also be systematically computed. We study the structure of power corrections for 0-jettiness, T0, for the gg → H process. Using the soft-collinear effective theory we analytically compute the leading power corrections αsτlnτ and α$2\atop{s}$τln3τ (finding partial agreement with a previous result in the literature), and perform a detailed numerical study of the power corrections in the gg, gq, and $q\overline{q}$ channels. This includes a numerical extraction of the αsτ and α$2\atop{s}$sτln2τ corrections, and a study of the dependence on the T0 definition. Including such power suppressed logarithms significantly reduces the size of missing power corrections, and hence improves the numerical efficiency of the subtraction method. Having a more detailed understanding of the power corrections for both $q\overline{q}$ and gg initiated processes also provides insight into their universality, and hence their behavior in more complicated processes where they have not yet been analytically calculated.},

doi = {10.1103/physrevd.97.014013},

journal = {Physical Review D},

number = 1,

volume = 97,

place = {United States},

year = {2018},

month = {1}

}

DOI: 10.1103/physrevd.97.014013

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