# Gluon bremsstrahlung in finite media beyond multiple soft scattering approximation

## Abstract

We revisit the calculation of the medium-induced gluon spectrum in a nite QCD medium and develop a new approach that goes beyond multiple soft scattering approximation. We show by expanding around the harmonic oscillator that the rst two orders encompass the two known analytic limits: single hard and multiple soft scattering regimes, valid at high and low frequencies, respectively. Finally, we investigate the sensitivity of our results to the infrared and observe that for large media the spectrum is weakly dependent on the infrared medium scale.

- Authors:

- Brookhaven National Lab. (BNL), Upton, NY (United States)

- Publication Date:

- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

- OSTI Identifier:
- 1558258

- Report Number(s):
- BNL-211973-2019-JAAM

Journal ID: ISSN 1029-8479

- Grant/Contract Number:
- SC0012704

- 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: 2019; Journal Issue: 7; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Heavy Ion Phenomenology; Jets

### Citation Formats

```
Mehtar-Tani, Yacine. Gluon bremsstrahlung in finite media beyond multiple soft scattering approximation. United States: N. p., 2019.
Web. doi:10.1007/JHEP07(2019)057.
```

```
Mehtar-Tani, Yacine. Gluon bremsstrahlung in finite media beyond multiple soft scattering approximation. United States. doi:10.1007/JHEP07(2019)057.
```

```
Mehtar-Tani, Yacine. Thu .
"Gluon bremsstrahlung in finite media beyond multiple soft scattering approximation". United States. doi:10.1007/JHEP07(2019)057. https://www.osti.gov/servlets/purl/1558258.
```

```
@article{osti_1558258,
```

title = {Gluon bremsstrahlung in finite media beyond multiple soft scattering approximation},

author = {Mehtar-Tani, Yacine},

abstractNote = {We revisit the calculation of the medium-induced gluon spectrum in a nite QCD medium and develop a new approach that goes beyond multiple soft scattering approximation. We show by expanding around the harmonic oscillator that the rst two orders encompass the two known analytic limits: single hard and multiple soft scattering regimes, valid at high and low frequencies, respectively. Finally, we investigate the sensitivity of our results to the infrared and observe that for large media the spectrum is weakly dependent on the infrared medium scale.},

doi = {10.1007/JHEP07(2019)057},

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

number = 7,

volume = 2019,

place = {United States},

year = {2019},

month = {7}

}

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Works referenced in this record:

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