### Landau singularities and symbology: One- and two-loop MHV amplitudes in SYM theory

We apply the Landau equations, whose solutions parameterize the locus of possible branch points, to the one- and two-loop Feynman integrals relevant to MHV amplitudes in planar N = 4 super-Yang-Mills theory. We then identify which of the Landau singularities appear in the symbols of the amplitudes, and which do not. Finally, we observe that all of the symbol entries in the two-loop MHV amplitudes are already present as Landau singularities of one-loop pentagon integrals.

- Publication Date:

- Grant/Contract Number:
- SC0010010; FG02-11ER41742

- 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: 3; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Research Org:
- Brown Univ., Providence, RI (United States)

- Sponsoring Org:
- USDOE

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; scattering amplitudes; supersymmetric gauge theory

- OSTI Identifier:
- 1326989

```
Dennen, Tristan, Spradlin, Marcus, and Volovich, Anastasia.
```*Landau singularities and symbology: One- and two-loop MHV amplitudes in SYM theory*. United States: N. p.,
Web. doi:10.1007/JHEP03(2016)069.

```
Dennen, Tristan, Spradlin, Marcus, & Volovich, Anastasia.
```*Landau singularities and symbology: One- and two-loop MHV amplitudes in SYM theory*. United States. doi:10.1007/JHEP03(2016)069.

```
Dennen, Tristan, Spradlin, Marcus, and Volovich, Anastasia. 2016.
"Landau singularities and symbology: One- and two-loop MHV amplitudes in SYM theory". United States.
doi:10.1007/JHEP03(2016)069. https://www.osti.gov/servlets/purl/1326989.
```

```
@article{osti_1326989,
```

title = {Landau singularities and symbology: One- and two-loop MHV amplitudes in SYM theory},

author = {Dennen, Tristan and Spradlin, Marcus and Volovich, Anastasia},

abstractNote = {We apply the Landau equations, whose solutions parameterize the locus of possible branch points, to the one- and two-loop Feynman integrals relevant to MHV amplitudes in planar N = 4 super-Yang-Mills theory. We then identify which of the Landau singularities appear in the symbols of the amplitudes, and which do not. Finally, we observe that all of the symbol entries in the two-loop MHV amplitudes are already present as Landau singularities of one-loop pentagon integrals.},

doi = {10.1007/JHEP03(2016)069},

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

number = 3,

volume = 2016,

place = {United States},

year = {2016},

month = {3}

}