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1.
Scattering Amplitudes from Superconformal Ward Identities / Chicherin, Dmitry (U. Mainz, PRISMA) ; Henn, Johannes M. (U. Mainz, PRISMA ; Munich, Max Planck Inst.) ; Sokatchev, Emery (U. Mainz, PRISMA ; Annecy, LAPTH ; CERN)
We consider finite superamplitudes of N=1 matter, and use superconformal symmetry to derive powerful first-order differential equations for them. Due to on-shell collinear singularities, the Ward identities have an anomaly, which is obtained from lower-loop information. [...]
arXiv:1804.03571; CERN-TH-2018-069; LAPTH-012/18; MPP-2018-42; MITP/18-24; LAPTH-012-18; MITP-18-24.- 2018-07-11 - 5 p. - Published in : Phys. Rev. Lett. 121 (2018) 021602 Article from SCOAP3: PDF; Fulltext: arXiv:1804.03571 - PDF; 10.1103_PhysRevLett.121.021602 - PDF; fulltext - XML;
2.
Four-gluon scattering at three loops, infrared structure and Regge limit / Henn, Johannes M. (U. Mainz, PRISMA) ; Mistlberger, Bernhard (CERN)
We compute the three-loop four-gluon scattering amplitude in maximally supersymmetric Yang-Mills theory, including its full color dependence. Our result is the first complete computation of a non-planar four-particle scattering amplitude to three loops in four-dimensional gauge theory and consequently provides highly non-trivial data for the study of non-planar scattering amplitudes. [...]
arXiv:1608.00850; CERN-TH-2016-174; MITP-16-084; CERN-TH-2016-174; MITP-16-084.- 2016-10-20 - 5 p. - Published in : Phys. Rev. Lett. 117 (2016) 171601 APS Open Access article: PDF; Fulltext: PDF; Preprint: PDF; External link: Preprint
3.
Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion / Caola, Fabrizio (CERN) ; Henn, Johannes M. (Princeton, Inst. Advanced Study) ; Melnikov, Kirill (KIT, Karlsruhe, TP) ; Smirnov, Alexander V. (Lomonosov Moscow State U.) ; Smirnov, Vladimir A. (SINP, Moscow)
We compute the part of the two-loop virtual amplitude for the process $gg \to V_1 V_2 \to (l_1 \bar l'_{1}) (l_2 \bar l'_2)$, where $V_{1,2}$ are arbitrary electroweak gauge bosons, that receives contributions from loops of massless quarks. Invariant masses of electroweak bosons are allowed to be different from each other. [...]
arXiv:1503.08759; TTP15-013; CERN-PH-TH-2015-069; TTP15-013; CERN-PH-TH-2015-069.- Geneva : CERN, 2015-06-18 - 15 p. - Published in : JHEP 06 (2015) 129 Article from SCOAP3: PDF; Fulltext: PDF; Springer Open Access article: PDF; External link: Preprint
4.
Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory / Dixon, Lance J. (SLAC) ; Drummond, James M. (CERN ; Annecy, LAPTH) ; Henn, Johannes M. (Humboldt U., Berlin ; Princeton, Inst. Advanced Study)
We provide a simple analytic formula for the two-loop six-point ratio function of planar N = 4 super Yang-Mills theory. This result extends the analytic knowledge of multi-loop six-point amplitudes beyond those with maximal helicity violation. [...]
arXiv:1111.1704; CERN-PH-TH-2011-251; SLAC-PUB-14632; LAPTH-042-11; HU-EP-11-44; CERN-PH-TH-2011-251; SLAC-PUB-14632; LAPTH-042-11; HU-EP-11-44.- 2012 - 51 p. - Published in : JHEP 01 (2012) 024 Fulltext: PDF; Springer Open Access article: PDF; External link: SLAC Document Server
5.
Bootstrapping the three-loop hexagon / Dixon, Lance J. (CERN ; SLAC) ; Drummond, James M. (CERN ; Annecy, LAPTH) ; Henn, Johannes M. (Humboldt U., Berlin ; Santa Barbara, KITP)
We consider the hexagonal Wilson loop dual to the six-point MHV amplitude in planar N=4 super Yang-Mills theory. We apply constraints from the operator product expansion in the near-collinear limit to the symbol of the remainder function at three loops. [...]
SLAC-PUB-14528; CERN-PH-TH-2011-189; LAPTH-029-11; HU-EP-11-38; NSF-KITP-11-176; arXiv:1108.4461; CERN-PH-TH-2011-189; SLAC-PUB-14528; LAPTH-029-11; HU-EP-11-38; NSF-KITP-11-176.- 2011 - 36 p. - Published in : JHEP 11 (2011) 023 Preprint: PDF; Springer Open Access article: PDF; External link: SLAC
6.
The one-loop six-dimensional hexagon integral with three massive corners / Del Duca, Vittorio (Unlisted, IT ; KIPAC, Menlo Park) ; Dixon, Lance J. (SLAC ; CERN) ; Drummond, James M. (CERN ; Annecy, LAPTH) ; Duhr, Claude (Durham U., IPPP ; KIPAC, Menlo Park) ; Henn, Johannes M. (Humboldt U., Berlin ; KIPAC, Menlo Park) ; Smirnov, Vladimir A. (Lomonosov Moscow State U.)
We compute the six-dimensional hexagon integral with three non-adjacent external masses analytically. After a simple rescaling, it is given by a function of six dual conformally invariant cross-ratios. [...]
HU-EP-11-22; CERN-PH-TH-2011-105; SLAC-PUB-14458; LAPTH-016-11; DCPT-11-42; NSF-KITP-11-072; arXiv:1105.2011; IPPP-11-21; HU-EP-11-22; CERN-PH-TH-2011-105; SLAC-PUB-14458; LAPTH-016-11; IPPP-11-21; DCPT-11-42; NSF-KITP-11-072.- 2011 - 15 p. - Published in : Phys. Rev. D 84 (2011) 045017 APS Published version, local copy: PDF; Preprint: PDF; External link: SLAC
7.
The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes in N=4 SYM / Dixon, Lance J. (CERN ; SLAC) ; Drummond, James M. (CERN ; Annecy, LAPTH) ; Henn, Johannes M. (Humboldt U., Berlin)
We provide an analytic formula for the (rescaled) one-loop scalar hexagon integral $\tilde\Phi_6$ with all external legs massless, in terms of classical polylogarithms. We show that this integral is closely connected to two integrals appearing in one- and two-loop amplitudes in planar $\\mathcal{N}=4$ super-Yang-Mills theory, $\Omega^{(1)}$ and $\Omega^{(2)}$. [...]
arXiv:1104.2787; HU-EP-11-17; CERN-PH-TH-2011-075; SLAC-PUB-14434; LAPTH-013-11.- 2011 - 18 p. - Published in : JHEP 06 (2011) 100 Preprint: PDF; Springer Open Access article: PDF; External link: Preprint
8.
All tree-level amplitudes in massless QCD / Dixon, Lance J (CERN ; SLAC) ; Henn, Johannes M (Humboldt U., Berlin) ; Plefka, Jan (Humboldt U., Berlin) ; Schuster, Theodor (Humboldt U., Berlin)
We derive compact analytical formulae for all tree-level color-ordered gauge theory amplitudes involving any number of external gluons and up to three massless quark-anti-quark pairs. A general formula is presented based on the combinatorics of paths along a rooted tree and associated determinants. [...]
arXiv:1010.3991; CERN-PH-TH-2010-230; SLAC-PUB-14278; HU-EP-10-57.- 2011 - Published in : JHEP 01 (2011) 035 Springer Open Access article: PDF; External link: Preprint
9.
New differential equations for on-shell loop integrals / Drummond, James M. (CERN ; Annecy, LAPTH) ; Henn, Johannes M. (Humboldt U., Berlin) ; Trnka, Jaroslav (Princeton, Inst. Advanced Study ; Princeton U.)
We present a novel type of differential equations for on-shell loop integrals. The equations are second-order and importantly, they reduce the loop level by one, so that they can be solved iteratively in the loop order. [...]
arXiv:1010.3679; HU-EP-10-56; CERN-PH-TH-2010-237; LAPTH-042-10; HU-EP-10-56; CERN-PH-TH-2010-237; LAPTH-042-10.- 2011 - 38 p. - Published in : JHEP 04 (2011) 083 Fulltext: PDF; Springer Open Access article: PDF; External link: Preprint

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