# The Weizsäcker-Williams distribution of linearly polarized gluons (and its fluctuations) at small x

## Abstract

The conventional and linearly polarized Weizsäcker-Williams gluon distributions at small x are defined from the two-point function of the gluon field in light-cone gauge. They appear in the cross section for dijet production in deep inelastic scattering at high energy. We determine these functions in the small-x limit from solutions of the JIMWLK evolution equations and show that they exhibit approximate geometric scaling. Also, we discuss the functional distributions of these WW gluon distributions over the JIMWLK ensemble at rapidity Y ~ 1/αs. These are determined by a 2d Liouville action for the logarithm of the covariant gauge function g2tr A+(q)A+(-q). For transverse momenta on the order of the saturation scale we observe large variations across configurations (evolution trajectories) of the linearly polarized distribution up to several times its average, and even to negative values.

- Authors:

- Publication Date:

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

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

- OSTI Identifier:
- 1434785

- Report Number(s):
- BNL-203561-2018-CPPJ

Journal ID: ISSN 2100--014X

- DOE Contract Number:
- SC0012704

- Resource Type:
- Conference

- Resource Relation:
- Journal Volume: 172; Conference: XLVII International Symposium on Multiparticle Dynamics (ISMD 2017), Tlaxcala City, Mexico, 9/11/2017 - 4/15/2018

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

### Citation Formats

```
Dumitru, Adrian, and Skokov, Vladimir.
```*The Weizsäcker-Williams distribution of linearly polarized gluons (and its fluctuations) at small x*. United States: N. p., 2017.
Web. doi:10.1051/epjconf/201817203009.

```
Dumitru, Adrian, & Skokov, Vladimir.
```*The Weizsäcker-Williams distribution of linearly polarized gluons (and its fluctuations) at small x*. United States. doi:10.1051/epjconf/201817203009.

```
Dumitru, Adrian, and Skokov, Vladimir. Mon .
"The Weizsäcker-Williams distribution of linearly polarized gluons (and its fluctuations) at small x". United States.
doi:10.1051/epjconf/201817203009. https://www.osti.gov/servlets/purl/1434785.
```

```
@article{osti_1434785,
```

title = {The Weizsäcker-Williams distribution of linearly polarized gluons (and its fluctuations) at small x},

author = {Dumitru, Adrian and Skokov, Vladimir},

abstractNote = {The conventional and linearly polarized Weizsäcker-Williams gluon distributions at small x are defined from the two-point function of the gluon field in light-cone gauge. They appear in the cross section for dijet production in deep inelastic scattering at high energy. We determine these functions in the small-x limit from solutions of the JIMWLK evolution equations and show that they exhibit approximate geometric scaling. Also, we discuss the functional distributions of these WW gluon distributions over the JIMWLK ensemble at rapidity Y ~ 1/αs. These are determined by a 2d Liouville action for the logarithm of the covariant gauge function g2tr A+(q)A+(-q). For transverse momenta on the order of the saturation scale we observe large variations across configurations (evolution trajectories) of the linearly polarized distribution up to several times its average, and even to negative values.},

doi = {10.1051/epjconf/201817203009},

journal = {},

number = ,

volume = 172,

place = {United States},

year = {Mon Sep 11 00:00:00 EDT 2017},

month = {Mon Sep 11 00:00:00 EDT 2017}

}