### Resummation of electroweak Sudakov logarithms for real radiation

Using the known resummation of virtual corrections together with knowledge of the leading-log structure of real radiation in a parton shower, we derive analytic expressions for the resummed real radiation after they have been integrated over all of phase space. Performing a numerical analysis for both the 13 TeV LHC and a 100 TeV pp collider, we show that resummation of the real corrections is at least as important as resummation of the virtual corrections, and that this resummation has a sizable effect for partonic center of mass energies exceeding √s=O(few TeV). For partonic center of mass energies √s≳10 TeV, which can be reached at a 100 TeV collider, resummation becomes an O(1) effect and needs to be included even for rough estimates of the cross-sections.

- Publication Date:

- Grant/Contract Number:
- AC02-05CH11231

- Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 9; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

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

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

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; perturbative QCD; resummation

- OSTI Identifier:
- 1377440

```
Bauer, Christian W., and Ferland, Nicolas.
```*Resummation of electroweak Sudakov logarithms for real radiation*. United States: N. p.,
Web. doi:10.1007/JHEP09(2016)025.

```
Bauer, Christian W., & Ferland, Nicolas.
```*Resummation of electroweak Sudakov logarithms for real radiation*. United States. doi:10.1007/JHEP09(2016)025.

```
Bauer, Christian W., and Ferland, Nicolas. 2016.
"Resummation of electroweak Sudakov logarithms for real radiation". United States.
doi:10.1007/JHEP09(2016)025. https://www.osti.gov/servlets/purl/1377440.
```

```
@article{osti_1377440,
```

title = {Resummation of electroweak Sudakov logarithms for real radiation},

author = {Bauer, Christian W. and Ferland, Nicolas},

abstractNote = {Using the known resummation of virtual corrections together with knowledge of the leading-log structure of real radiation in a parton shower, we derive analytic expressions for the resummed real radiation after they have been integrated over all of phase space. Performing a numerical analysis for both the 13 TeV LHC and a 100 TeV pp collider, we show that resummation of the real corrections is at least as important as resummation of the virtual corrections, and that this resummation has a sizable effect for partonic center of mass energies exceeding √s=O(few TeV). For partonic center of mass energies √s≳10 TeV, which can be reached at a 100 TeV collider, resummation becomes an O(1) effect and needs to be included even for rough estimates of the cross-sections.},

doi = {10.1007/JHEP09(2016)025},

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

number = 9,

volume = 2016,

place = {United States},

year = {2016},

month = {9}

}