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Local integrands for two-loop all-plus Yang-Mills amplitudes
被引:40
作者:

Badger, Simon
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机构:
Univ Edinburgh, Sch Phys & Astron, Higgs Ctr Theoret Phys, James Clerk Maxwell Bldg,Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland Univ Edinburgh, Sch Phys & Astron, Higgs Ctr Theoret Phys, James Clerk Maxwell Bldg,Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland

Mogul, Gustav
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Univ Edinburgh, Sch Phys & Astron, Higgs Ctr Theoret Phys, James Clerk Maxwell Bldg,Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland Univ Edinburgh, Sch Phys & Astron, Higgs Ctr Theoret Phys, James Clerk Maxwell Bldg,Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland

Peraro, Tiziano
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Univ Edinburgh, Sch Phys & Astron, Higgs Ctr Theoret Phys, James Clerk Maxwell Bldg,Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland Univ Edinburgh, Sch Phys & Astron, Higgs Ctr Theoret Phys, James Clerk Maxwell Bldg,Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland
机构:
[1] Univ Edinburgh, Sch Phys & Astron, Higgs Ctr Theoret Phys, James Clerk Maxwell Bldg,Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland
关键词:
Perturbative QCD;
Scattering Amplitudes;
ONE-LOOP AMPLITUDES;
GAUGE-THEORY;
TREE AMPLITUDES;
QCD AMPLITUDES;
UNITARITY;
D O I:
10.1007/JHEP08(2016)063
中图分类号:
O412 [相对论、场论];
O572.2 [粒子物理学];
学科分类号:
摘要:
We express the planar five- and six-gluon two-loop Yang-Mills amplitudes with all positive helicities in compact analytic form using D-dimensional local integrands that are free of spurious singularities. The integrand is fixed from on-shell tree amplitudes in six dimensions using D-dimensional generalised unitarity cuts. The resulting expressions are shown to have manifest infrared behaviour at the integrand level. We also find simple representations of the rational terms obtained after integration in 4 - 2 epsilon dimensions.
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