# Two-Loop Splitting Amplitudes

## Abstract

Splitting amplitudes govern the behavior of scattering amplitudes at the momenta of external legs become collinear. In this talk we outline the calculation of two-loop splitting amplitudes via the unitarity sewing method. This method retains the simple factorization properties of light-cone gauge, but avoids the need for prescriptions such as the principal value or Mandelstam-Leibbrandt ones. The encountered loop momentum integrals are then evaluated using integration-by-parts and Lorentz invariance identities. We outline a variety of applications for these splitting amplitudes.

- Authors:

- Publication Date:

- Research Org.:
- Stanford Linear Accelerator Center, Menlo Park, CA (US)

- Sponsoring Org.:
- USDOE Office of Science (US)

- OSTI Identifier:
- 827297

- Report Number(s):
- SLAC-PUB-10525

TRN: US0403231

- DOE Contract Number:
- AC03-76SF00515

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 24 Jul 2004

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; FACTORIZATION; LIGHT CONE; LORENTZ INVARIANCE; SCATTERING AMPLITUDES; UNITARITY

### Citation Formats

```
Bern, Z.
```*Two-Loop Splitting Amplitudes*. United States: N. p., 2004.
Web. doi:10.2172/827297.

```
Bern, Z.
```*Two-Loop Splitting Amplitudes*. United States. doi:10.2172/827297.

```
Bern, Z. Sat .
"Two-Loop Splitting Amplitudes". United States. doi:10.2172/827297. https://www.osti.gov/servlets/purl/827297.
```

```
@article{osti_827297,
```

title = {Two-Loop Splitting Amplitudes},

author = {Bern, Z},

abstractNote = {Splitting amplitudes govern the behavior of scattering amplitudes at the momenta of external legs become collinear. In this talk we outline the calculation of two-loop splitting amplitudes via the unitarity sewing method. This method retains the simple factorization properties of light-cone gauge, but avoids the need for prescriptions such as the principal value or Mandelstam-Leibbrandt ones. The encountered loop momentum integrals are then evaluated using integration-by-parts and Lorentz invariance identities. We outline a variety of applications for these splitting amplitudes.},

doi = {10.2172/827297},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2004},

month = {7}

}

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