Twistor space structure of one-loop amplitudes in gauge theory

By F. Cachazo, Peter Svrček, E. Witten. 2004

149 citations recorded by the source corpus.

We analyze the twistor space structure of certain one-loop amplitudes in gauge theory. For some amplitudes, we find decompositions that make the twistor structure manifest; for others, we explore the twistor space structure by finding differential equations that the amplitudes obey.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/aa255112a885d894b7357cbea0d294f6c52824ef

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. R. Britto
2. F. Cachazo
3. Bo Feng
4. V. Khoze
5. L. Mason
6. David Skinner
7. Pierpaolo Mastrolia
8. N. Arkani-Hamed

In Nuclear and High Energy Physics

1. F. Cachazo
2. R. Britto
3. N. Arkani-Hamed
4. Kasper Risager
5. Bo Feng
6. L. Mason
7. Pierpaolo Mastrolia
8. David Skinner

Citations in the corpus

• A recursion relation for gravity amplitudes (2005, unknown): “A calculation similar to that illustrated previously for the four-point case leads to the result M(1, 2, 3, 4, 5) = 〈12〉(6)[15][34] 〈15〉〈23〉〈24〉〈34〉〈35〉〈45〉 + P(3, 4, 5) , (3.”
• Scattering amplitudes and Wilson loops in twistor space (2011, background): “An important output of Witten’s twistor-string theory [42] is the MHV formalism, a set of momentum space Feynman rules for calculating scattering amplitudes in N = 4 SYM which are significantly simpler than the ordinary Feynman rules that arise from a spacetime action [79, 82, 83].”
• One-loop amplitudes of gluons in supersymmetric QCD (2005, methodology): “This technique allows the systematic calculation of N = 1 amplitudes of gluons.”
• MHV rules for Higgs plus multi-gluon amplitudes (2004, background): “On the other hand, the twistor-space structure of both sets of amplitudes seemed to be more complex [15] than the MHV picture would imply.”
• Gauge theory amplitudes in twistor space and holomorphic anomaly (2004, methodology): “September 2004 Perturbative scattering amplitudes of gluons in Yang-Mills theory exhibit many re- markable properties, some of which [1] apparently reflect the fact that they can be com- puted using a string theory in which twistor space is the target space.”
• Non-supersymmetric loop amplitudes and MHV vertices (2004, background): “(1)The paper [5] discusses the twistor structure of some non-supersymmetric one-loop amplitudes and the possible role of additional vertices in these models.”