Maximal Unitarity at Two Loops David A. Kosower

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Maximal Unitarity at Two Loops David A. Kosower Institut de Physique Théorique, CEASaclay work with Kasper Larsen Henrik Johansson; work of Simon Caron-Huot Kasper Larsen 1108.1180, 1205.0801, 1208.1754 in progress Amplitudes and

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Maximal Unitarity at Two Loops David A. Kosower Institut de Physique Théorique, CEA–Saclay
work with Kasper Larsen & Henrik Johansson; & work of Simon Caron-Huot & Kasper Larsen 1108.1180, 1205.0801, 1208.1754 & in progress

Amplitudes and Periods, IHES December 3–7, 2012<br>
02
Amplitudes in Gauge Theories Amplitudes are the key quantity in perturbative gauge theories

Infrared-divergent but all infrared-safe physical quantities can be built out of them

Recent years have seen lots of excitement in N=4 SUSY

Basic building block for physics predictions in QCD

NLO calculations give the first quantitative predictions for LHC physics, and are essential to controlling backgrounds: require one-loop amplitudes
For some processes (gg  W+W−, gg  ZZ) two-loop amplitudes are needed
For NNLO & precision physics, we also need to go beyond one loop<br>
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On-Shell Methods Use only information from physical states
Avoid size explosion of intermediate terms due to unphysical states
Use properties of amplitudes as calculational tools
Factorization → on-shell recursion (Britto, Cachazo, Feng, Witten,…)
Unitarity → unitarity method (Bern, Dixon, Dunbar, DAK,…)
Underlying field theory integral basis
Formalism Known integral basis: Unitarity On-shell Recursion; D-dimensional unitarity via ∫ mass<br>