D-dimensional unitarity cut method
By C. Anastasiou, R. Britto, Bo Feng, Z. Kunszt, Pierpaolo Mastrolia. 2006
212 citations recorded by the source corpus.
Abstract We develop a unitarity method to compute one-loop amplitudes with massless propagators in d = 4 − 2 ϵ dimensions. We compute double cuts of the loop amplitudes via a decomposition into a four-dimensional and a − 2 ϵ -dimensional integration. The four-dimensional integration is performed using spinor integration or other efficient techniques. The remaining integral in − 2 ϵ dimensions is cast in terms of bubble, triangle, box, and pentagon master integrals using dimensional shift identities. The method yields results valid for arbitrary values of ϵ.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/c0e33936ee58ce8ee2406629f219602bb595841a
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In Nuclear and High Energy Physics
- Cms Collaboration
- Ansgar Denner
- Stefan Dittmaier
- Valentin Hirschi
- M. Zaro
- Fabio Maltoni
- Gudrun Heinrich
- Atlas Collaboration
Citations in the corpus
- The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations (2014, methodology): “The two methods which have been used for complicated numerical simulations are bootstrap [17] and D-dimensional unitarity [19,20,23].”
- Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes (2006, methodology): “In [ 31 ] we have reported results on an efficient implementation of the d-dimensional unitary cut method.”
- Full one-loop amplitudes from tree amplitudes (2008, methodology): “The other approach is a variant of D-dimensional unitarity method [32, 33].”
- Electroweak radiative corrections for collider physics (2019, methodology): “An alternative is provided by D-dimensional unitarity methods [248–250].”