Loops in twistor space
Copyright policy )Loops in twistor space
We elucidate the one-loop twistor-space structure corresponding to momentum-space MHV diagrams. We also discuss the infrared divergences, and argue that only a limited set of MHV diagrams contain them. We show how to introduce a twistor-space regulator corresponding to dimensional regularization for the infrared-divergent diagrams. We also evaluate explicitly the `holomorphic anomaly' pointed out by Cachazo, Svrcek, and Witten, and use the result to define modified differential operators which can be used to probe the twistor-space structure of one-loop amplitudes.
21 pages, TeX. v3. missing citations added. v4. subtlety with the i \epsilon prescription clarified
- University of California, Santa Barbara United States
- University of California, Los Angeles United States
- College of New Jersey United States
- Department of Physics University of California, Santa Barbara United States
- Department of Physics University of California San Diego United States
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences
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