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Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Stockholm Univ, Nordita, Roslagstullsbacken 23, S-10691 Stockholm, Sweden.;KTH Royal Inst Technol, Roslagstullsbacken 23, S-10691 Stockholm, Sweden..
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.ORCID iD: 0000-0002-6697-775X
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Univ Edinburgh, Sch Phys & Astron, Higgs Ctr Theoret Phys, Edinburgh EH9 3FD, Midlothian, Scotland..
2017 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 9, article id 019Article in journal (Refereed) Published
Abstract [en]

Using the duality between color and kinematics, we construct two-loop four point scattering amplitudes in N = 2 super-Yang-Mills (SYM) theory coupled to N-f fundamental hypermultiplets. Our results are valid in D <= 6 dimensions, where the upper bound corresponds to six-dimensional chiral N = (1, 0) SYM theory. By exploiting a close connection with N = 4 SYM theory-and, equivalently, six-dimensional N = (1, 1) SYM theory we find compact integrands with four-dimensional external vectors in both the maximally-helicity-violating (MHV) and all-chiral-vector sectors. Via the double-copy construction corresponding D-dimensional half-maximal supergravity amplitudes with external graviton multiplets are obtained in the MHV and all-chiral sectors. Appropriately tuning N-f enables us to consider both pure and matter-coupled supergravity, with arbitrary numbers of vector multiplets in D = 4. As a bonus, we obtain the integrands of the genuinely six-dimensional supergravities with N = (1, 1) and N = (2, 0) supersymmetry. Finally, we extract the potential ultraviolet divergence of half-maximal supergravity in D = 5-2 is an element of and show that it non-trivially cancels out as expected.

Place, publisher, year, edition, pages
2017. no 9, article id 019
Keywords [en]
Scattering Amplitudes, Supergravity Models, Supersymmetric Gauge Theory, Gauge Symmetry
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-335854DOI: 10.1007/JHEP09(2017)019ISI: 000411022400006OAI: oai:DiVA.org:uu-335854DiVA, id: diva2:1176588
Funder
Swedish Research Council, 621-2014-5722Knut and Alice Wallenberg Foundation, KAW 2013.0235Available from: 2018-01-22 Created: 2018-01-22 Last updated: 2018-01-22Bibliographically approved

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