# Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion

## Abstract

We compute the part of the two-loop virtual amplitude for the process gg→V _{1}V _{2}→(l _{1}$$\overline{l}$$' _{2})(l _{2}$$\overline{l}$$' _{2}), where V _{1,2} are arbitrary electroweak gauge bosons, that receives contributions from loops of massless quarks. Invariant masses of electroweak bosons are allowed to be different from each other. Our result provides an important ingredient for improving the description of gluon fusion contribution to the production of four-lepton final states at the LHC.

- Authors:

- TH Unit, CERN, Geneva (Switzerland). PH Dept.
- Institute for Advanced Study, Princton, NJ (United States)
- Karlsruhe Institute of Technology (Germany). Institute for Theoretical Particle Physics
- Moscow State University (Russia). Research Computing Center
- Moscow State University (Russia). Skobeltsyn Institute of Nuclear Physics

- Publication Date:

- Research Org.:
- Institute for Advanced Study, Princton, NJ (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1454729

- Grant/Contract Number:
- SC0009988

- 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: 2015; Journal Issue: 6; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

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

### Citation Formats

```
Caola, Fabrizio, Henn, Johannes M., Melnikov, Kirill, Smirnov, Alexander V., and Smirnov, Vladimir A. Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion. United States: N. p., 2015.
Web. doi:10.1007/JHEP06(2015)129.
```

```
Caola, Fabrizio, Henn, Johannes M., Melnikov, Kirill, Smirnov, Alexander V., & Smirnov, Vladimir A. Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion. United States. doi:10.1007/JHEP06(2015)129.
```

```
Caola, Fabrizio, Henn, Johannes M., Melnikov, Kirill, Smirnov, Alexander V., and Smirnov, Vladimir A. Thu .
"Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion". United States. doi:10.1007/JHEP06(2015)129. https://www.osti.gov/servlets/purl/1454729.
```

```
@article{osti_1454729,
```

title = {Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion},

author = {Caola, Fabrizio and Henn, Johannes M. and Melnikov, Kirill and Smirnov, Alexander V. and Smirnov, Vladimir A.},

abstractNote = {We compute the part of the two-loop virtual amplitude for the process gg→V1V2→(l1$\overline{l}$'2)(l2$\overline{l}$'2), where V 1,2 are arbitrary electroweak gauge bosons, that receives contributions from loops of massless quarks. Invariant masses of electroweak bosons are allowed to be different from each other. Our result provides an important ingredient for improving the description of gluon fusion contribution to the production of four-lepton final states at the LHC.},

doi = {10.1007/JHEP06(2015)129},

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

number = 6,

volume = 2015,

place = {United States},

year = {2015},

month = {6}

}

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