Evolution of color exchange in QCD hard scattering

Kidonakis, Nikolaos; Oderda, Gianluca; Sterman, George

doi:10.1016/s0550-3213(98)00441-6

Cited by 320 publications

(508 citation statements)

References 57 publications

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“…Processes with four hard partons in QCD separate into a number of color structures, corresponding to separate operators in SCET, which mix under RG evolution. Similar color mixing has already been studied for collinearlyregulated soft Wilson lines using the traditional approach to resummation [19], and for quark scattering [15], gauge boson production [20] and tt production [6] using SCET. For NNLL resummation, the renormalization group equations must be solved to least 2-loop order.…”

mentioning

confidence: 77%

One-loop matching and next-to-next-to-leading log resummation for all partonic2→2processes in QCD

Kelley

Schwartz

2011

Phys. Rev. D

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The Wilson Coefficients for all 4-parton operators which arise in matching QCD to Soft-Collinear Effective Theory (SCET) are computed at 1-loop. Any dijet observable calculated in SCET beyond leading order will require these results. The Wilson coefficients are separated by spin and color, although most applications will involve only the spin-averaged hard functions. The anomalous dimensions for the Wilson coefficients are given to 2-loop order, and the renormalization group equations are solved explicitly. This will allow for analytical resummation of dijet observables to next-to-next-to-leading logarithmic accuracy. For each channel, there is a natural basis in which the evolution is diagonal in color space. The same basis also diagonalizes the color evolution for the soft function. Even though soft functions required for SCET calculations are observable dependent, it is shown that their renormalization group evolution is almost completely determined by a universal structure. With these results, it will be possible to calculate hadronic event shapes or other dijet observables to next-to-leading order with next-tonext-to-leading log resummation.

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mentioning

confidence: 77%

One-loop matching and next-to-next-to-leading log resummation for all partonic2→2processes in QCD

Kelley

Schwartz

2011

Phys. Rev. D

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“…Long-distance singularities have been investigated since the early days of QCD, and have been a subject of continuous theoretical interest [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. In recent years we have seen significant progress towards determining the singularities of multi-leg amplitudes with general kinematics beyond the planar limit and beyond one loop [4,19,20,[25][26][27][28][29][30][31][32][33][34]41].…”

Section: Jhep04(2014)044mentioning

confidence: 99%

From webs to polylogarithms

Gardi

2014

J. High Energ. Phys.

186

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We compute a class of diagrams contributing to the multi-leg soft anomalous dimension through three loops, by renormalizing a product of semi-infinite non-lightlike Wilson lines in dimensional regularization. Using non-Abelian exponentiation we directly compute contributions to the exponent in terms of webs. We develop a general strategy to compute webs with multiple gluon exchanges between Wilson lines in configuration space, and explore their analytic structure in terms of α ij , the exponential of the Minkowski cusp angle formed between the lines i and j. We show that beyond the obvious inversion symmetry α ij → 1/α ij , at the level of the symbol the result also admits a crossing symmetry α ij → −α ij , relating spacelike and timelike kinematics, and hence argue that in this class of webs the symbol alphabet is restricted to α ij and 1 − α 2 ij . We carry out the calculation up to three gluons connecting four Wilson lines, finding that the contributions to the soft anomalous dimension are remarkably simple: they involve pure functions of uniform weight, which are written as a sum of products of polylogarithms, each depending on a single cusp angle. We conjecture that this type of factorization extends to all multiple-gluon-exchange contributions to the anomalous dimension.

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“…The colour structure influences the contributions from wide-angle soft gluon emissions which have to be included at the NLL accuracy. The evolution of the colour exchange at NLL is governed by the one-loop soft anomalous dimension [28,[32][33][34][35][36]. Starting from four coloured partons in the process, the soft anomalous dimension is a matrix and is known for heavyquark [32,33,37], dijet [34][35][36] and supersymmetric particle production [38][39][40]43], as well as for the general case of 2 → n QCD processes [28][29][30].…”

Section: Jhep03(2016)065mentioning

confidence: 99%

Soft gluon resummation for associated t t ¯ H $$ \mathrm{t}\overline{\mathrm{t}}\mathrm{H} $$ production at the LHC

Kulesza

Motyka

Stebel

et al. 2016

J. High Energ. Phys.

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We perform resummation of soft gluon corrections to the total cross section for the process pp → ttH. The resummation is carried out at next-to-leading-logarithmic (NLL) accuracy using the Mellin space technique, extending its application to the class of 2 → 3 processes. We present an analytical result for the soft anomalous dimension for a hadronic production of two coloured massive particles in association with a colour singlet. We discuss the impact of resummation on the numerical prediction for the associated Higgs boson production with top quarks at the LHC.

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Evolution of color exchange in QCD hard scattering

Cited by 320 publications

References 57 publications

One-loop matching and next-to-next-to-leading log resummation for all partonic2→2processes in QCD

One-loop matching and next-to-next-to-leading log resummation for all partonic2→2processes in QCD

From webs to polylogarithms

Soft gluon resummation for associated t t ¯ H $$ \mathrm{t}\overline{\mathrm{t}}\mathrm{H} $$ production at the LHC

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