002030454 001__ 2030454
002030454 003__ SzGeCERN
002030454 005__ 20220810144210.0
002030454 0248_ $$aoai:cds.cern.ch:2030454$$pcerncds:CERN$$pcerncds:CERN:FULLTEXT$$pcerncds:FULLTEXT
002030454 0247_ $$2DOI$$a10.1007/JHEP01(2016)170
002030454 035__ $$9arXiv$$aoai:arXiv.org:1507.00332
002030454 035__ $$9Inspire$$a1380614
002030454 037__ $$9arXiv$$aarXiv:1507.00332$$chep-ph
002030454 037__ $$aCERN-PH-TH-2015-149
002030454 037__ $$aUUITP-13-15
002030454 037__ $$aNORDITA-2015-79
002030454 037__ $$aEDINBURGH-2015-11
002030454 041__ $$aeng
002030454 088__ $$aCERN-PH-TH-2015-149
002030454 088__ $$aUUITP-13-15
002030454 088__ $$aNORDITA-2015-79
002030454 088__ $$aEDINBURGH 2015-11
002030454 084__ $$2CERN Library$$aTH-2015-149
002030454 100__ $$aJohansson, Henrik$$uCERN$$uUppsala U.$$uNordita$$uRoyal Inst. Tech., Stockholm$$uStockholm U.$$vTheory Division - Physics Department - CERN - CH-1211 - Geneva 23 - Switzerland$$vDepartment of Physics and Astronomy - Uppsala U. - Box 516 - SE-75120 - Uppsala - Sweden$$vNordita - KTH Royal Institute of Technology and Stockholm U. - Roslagstullsbacken 23 - SE-10691 - Stockholm - Sweden
002030454 245__ $$aColor-Kinematics Duality for QCD Amplitudes
002030454 269__ $$aGeneva$$bCERN$$c01 Jul 2015
002030454 260__ $$c2016-01-27
002030454 300__ $$a38 p
002030454 500__ $$aComments: 33 pages + refs, 7 figures, 4 tables
002030454 500__ $$9arXiv$$a33 pages + refs, 7 figures, 4 tables; v3 minor corrections, journal version
002030454 520__ $$aWe show that color-kinematics duality is present in tree-level amplitudes of quantum chromodynamics with massive flavored quarks. Starting with the color structure of QCD, we work out a new color decomposition for n-point tree amplitudes in a reduced basis of primitive amplitudes. These primitives, with k quark-antiquark pairs and (n-2k) gluons, are taken in the (n-2)!/k! Melia basis, and are independent under the color-algebra Kleiss-Kuijf relations. This generalizes the color decomposition of Del Duca, Dixon, and Maltoni to an arbitrary number of quarks. The color coefficients in the new decomposition are given by compact expressions valid for arbitrary gauge group and representation. Considering the kinematic structure, we show through explicit calculations that color-kinematics duality holds for amplitudes with general configurations of gluons and massive quarks. The new (massive) amplitude relations that follow from the duality can be mapped to a well-defined subset of the familiar BCJ relations for gluons. They restrict the amplitude basis further down to (n-3)!(2k-2)/k! primitives, for two or more quark lines. We give a decomposition of the full amplitude in that basis. The presented results provide strong evidence that QCD obeys the color-kinematics duality, at least at tree level. The results are also applicable to supersymmetric and D-dimensional extensions of QCD.
002030454 520__ $$9Springer$$aWe show that color-kinematics duality is present in tree-level amplitudes of quantum chromodynamics with massive flavored quarks. Starting with the color structure of QCD, we work out a new color decomposition for n-point tree amplitudes in a reduced basis of primitive amplitudes. These primitives, with k quark-antiquark pairs and (n − 2k) gluons, are taken in the (n − 2)!/k! Melia basis, and are independent under the color-algebra Kleiss-Kuijf relations. This generalizes the color decomposition of Del Duca, Dixon, and Maltoni to an arbitrary number of quarks. The color coefficients in the new decomposition are given by compact expressions valid for arbitrary gauge group and representation. Considering the kinematic structure, we show through explicit calculations that color-kinematics duality holds for amplitudes with general configurations of gluons and massive quarks. The new (massive) amplitude relations that follow from the duality can be mapped to a well-defined subset of the familiar BCJ relations for gluons. They restrict the amplitude basis further down to (n − 3)!(2k − 2)/k! primitives, for two or more quark lines. We give a decomposition of the full amplitude in that basis. The presented results provide strong evidence that QCD obeys the color-kinematics duality, at least at tree level. The results are also applicable to supersymmetric and D-dimensional extensions of QCD.
002030454 520__ $$9arXiv$$aWe show that color-kinematics duality is present in tree-level amplitudes of quantum chromodynamics with massive flavored quarks. Starting with the color structure of QCD, we work out a new color decomposition for n-point tree amplitudes in a reduced basis of primitive amplitudes. These primitives, with k quark-antiquark pairs and (n-2k) gluons, are taken in the (n-2)!/k! Melia basis, and are independent under the color-algebra Kleiss-Kuijf relations. This generalizes the color decomposition of Del Duca, Dixon, and Maltoni to an arbitrary number of quarks. The color coefficients in the new decomposition are given by compact expressions valid for arbitrary gauge group and representation. Considering the kinematic structure, we show through explicit calculations that color-kinematics duality holds for amplitudes with general configurations of gluons and massive quarks. The new (massive) amplitude relations that follow from the duality can be mapped to a well-defined subset of the familiar BCJ relations for gluons. They restrict the amplitude basis further down to (n-3)!(2k-2)/k! primitives, for two or more quark lines. We give a decomposition of the full amplitude in that basis. The presented results provide strong evidence that QCD obeys the color-kinematics duality, at least at tree level. The results are also applicable to supersymmetric and D-dimensional extensions of QCD.
002030454 540__ $$aarXiv nonexclusive-distrib. 1.0$$barXiv$$uhttp://arxiv.org/licenses/nonexclusive-distrib/1.0/
002030454 540__ $$3preprint$$aCC-BY-4.0
002030454 540__ $$3publication$$aCC-BY-4.0$$fSCOAP3
002030454 542__ $$3preprint$$dCERN$$g2015
002030454 542__ $$3publication$$dThe Author(s)$$g2016
002030454 595__ $$aOA
002030454 595__ $$aCERN-TH
002030454 595__ $$aLANL EDS
002030454 65017 $$2arXiv$$aParticle Physics - Phenomenology
002030454 65027 $$2arXiv$$aParticle Physics - Theory
002030454 695__ $$9LANL EDS$$ahep-ph
002030454 695__ $$9LANL EDS$$ahep-th
002030454 690C_ $$aARTICLE
002030454 690C_ $$aCERN
002030454 700__ $$aOchirov, Alexander$$uU. Edinburgh, Higgs Ctr. Theor. Phys.$$vHiggs Centre for Theoretical Physics - School of Physics U. and Astronomy - The Edinburgh - Edinburgh - EH9 3JZ - Scotland - U.K.
002030454 710__ $$5PH-TH
002030454 773__ $$c170$$oJHEP 1601 (2016) 170$$pJHEP$$v01$$y2016
002030454 8564_ $$uhttp://arxiv.org/pdf/1507.00332.pdf$$yPreprint
002030454 8564_ $$81112101$$s490605$$uhttps://cds.cern.ch/record/2030454/files/arXiv:1507.00332.pdf
002030454 8564_ $$81112099$$s1823$$uhttps://cds.cern.ch/record/2030454/files/pics_Multiperipheral.png$$y00002 \small Multi-peripheral cubic diagram for the color factors in formulas~\eqref{QuarkLineDecomposition} and~\eqref{DDM}. All permuted legs are gluons, while the horizontal line can be either a quark or a gluon line.
002030454 8564_ $$81112105$$s2113$$uhttps://cds.cern.ch/record/2030454/files/pics_ColorVertices.png$$y00000 \small Color vertices with planar ordering consistent with the color-stripped Feynman rules.
002030454 8564_ $$81112100$$s3861$$uhttps://cds.cern.ch/record/2030454/files/pics_A5.png$$y00004 \small Feynman diagrams for the four-quark one-gluon amplitude ${\cal A}^{\text{tree}}_{5,2}(\u{1},\o{2},\u{3},\o{4},5)$.
002030454 8564_ $$81112102$$s4233$$uhttps://cds.cern.ch/record/2030454/files/pics_Xi.png$$y00005 \small Diagrammatic form of the operator $\Xi^a_l$. It is drawn as a single diagram with hollow quark-gluon vertices, this represents summation over the possible locations where the gluon line can attach.
002030454 8564_ $$81112104$$s4406$$uhttps://cds.cern.ch/record/2030454/files/pics_ColorFactorExample.png$$y00006 \small Diagrammatic representation for the color coefficient of the planar amplitude $A(\u{1},\o{2},13,\u{3},\u{5},\o{6},\o{4}, \u{7},\u{9},14,\u{11},\o{12},\o{10},\o{8})$, obtained by using the notation of \fig{fig:Xi}. Note that the diagram has the same structure as the word $\{2\:13 \{ 3 \{5\:6\} 4 \} \{ 7 \{ 9\:14 \{11\:12\} 10 \} 8 \} 1\}$.
002030454 8564_ $$81112103$$s5972$$uhttps://cds.cern.ch/record/2030454/files/pics_JacobiTreeF.png$$y00001 \small Color-algebra relations in the adjoint~(a) and fundamental representation~(b). The color-kinematics duality requires that the kinematic numerators satisfy the corresponding kinematic-algebra relations, which can be represented by the same graphs.
002030454 8564_ $$81112098$$s7615$$uhttps://cds.cern.ch/record/2030454/files/pics_A6.png$$y00003 \small Feynman diagrams for the six-quark amplitude ${\cal A}^{\text{tree}}_{6,3}(\u{1},\o{2},\u{3},\o{4},\u{5},\o{6})$.
002030454 8564_ $$81178076$$s968284$$uhttps://cds.cern.ch/record/2030454/files/JHEP0128201629170.pdf$$ySpringer Open Access article
002030454 8564_ $$81178076$$s1925547$$uhttps://cds.cern.ch/record/2030454/files/JHEP0128201629170.pdf?subformat=pdfa$$xpdfa$$ySpringer Open Access article
002030454 8564_ $$82336246$$s968284$$uhttps://cds.cern.ch/record/2030454/files/scoap.pdf$$yArticle from SCOAP3
002030454 916__ $$sn$$w201526
002030454 960__ $$a13
002030454 980__ $$aARTICLE
002030454 980__ $$aCERN