Abstract
We present a calculation of the planar two-loop five-gluon amplitudes. The amplitudes are obtained in a variant of the generalized unitarity approach suitable for numerical computations, which we extend for use with finite field arithmetics. Employing a new method for the generation of unitarity-compatible integration-by-parts identities, all helicity amplitudes are reduced to a linear combination of master integrals for the first time. The approach allows us to compute exact values for the integral coefficients at rational phase-space points. All required master integrals are known analytically, and we obtain arbitrary-precision values for the amplitudes.
Highlights
The expected precision of upcoming cross-section measurements at the Large Hadron Collider at CERN currently drives the development of new computational methods in perturbative quantum-field theory and, in particular, in QCD
We present the computation of two-loop gluonic amplitudes which contribute to three-jet production at hadron colliders at next-to-next-to-leading order (NNLO)
The main result of this paper is a numerical implementation of two-loop five-gluon amplitudes in the leading-color approximation, for any helicity configuration
Summary
The expected precision of upcoming cross-section measurements at the Large Hadron Collider at CERN currently drives the development of new computational methods in perturbative quantum-field theory and, in particular, in QCD. We advance the state of the art in the calculation of loop amplitudes with many external particles. Besides their importance for phenomenology, the new results highlight the potential of the methods we employ. We present the computation of two-loop gluonic amplitudes which contribute to three-jet production at hadron colliders at next-to-next-to-leading order (NNLO). Predictions for these processes can be used for constraining the strong coupling, as it can be extracted from precision measurements of three- to two-jet-production ratios
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
