Cancellation of Glauber gluon exchange in the double Drell-Yan process

Diehl, Markus; Gaunt, Jonathan R.; Ostermeier, Daniel; Plößl, Peter; Schäfer, Andreas

doi:10.1007/jhep01(2016)076

Cited by 76 publications

(115 citation statements)

References 87 publications

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“…The non-dipole contribution to sAD evaluated at a 3 sorder in [29] has the same color structure as found by us for rAD (24), which grants an additional check for relation (17). Due to the fact that functionsF andC are of a 3 s order, they are not affected by conformal-symmetry violating corrections at this order.…”

supporting

confidence: 74%

“…A different configuration appears in the multiparton scattering [15][16][17][18]. In this case partons scatter pairwise, and SF reads…”

mentioning

confidence: 99%

“…It connects at all orders of perturbation theory the sAD with the rAD evaluated in the particular (critical) number of dimensions. Let us test the relation (17) in the simplest case at N = 2. In this case the matrix structure is reduced to a single entry (7).…”

mentioning

confidence: 99%

“…This example gives a non-trivial confirmation of correspondence presented in this Letter. Using (17) we can also derive the rAD for a general multiparton scattering configuration at a 3 s -order. Its color structure has the form…”

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confidence: 99%

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Correspondence between Soft and Rapidity Anomalous Dimensions

2017

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We establish a correspondence between ultraviolet singularities of soft factors for multiparticle production and rapidity singularities of soft factors for multiparton scattering. This correspondence is a consequence of the conformal mapping between scattering geometries. The correspondence is valid to all orders of perturbation theory and in this way provides one with a proof of rapidity renormalization procedure for multiparton scattering (including the transverse momentum dependent (TMD) factorization as a special case). As a by-product, we obtain an exact relation between the rapidity anomalous dimension and the well-known soft anomalous dimension. The three-loop expressions for TMD and a general multiparton scattering rapidity anomalous dimension are derived.Introduction. Factorization theorems are an effective tool for the description of hadron reactions within the perturbative Quantum Chromodynamics (pQCD) [1][2][3][4][5]. Factorization formulas have a common structure which includes a hard part, parton distributions, jet functions, and the soft factor(s). However, the operator structure of these ingredients can differ drastically for different processes, that leads to significant fragmentation of theoretical results. In this Letter, we discuss a correspondence between soft factors (SFs) typical for different kinematics and consequences of this correspondence.Generally, SFs represent the soft part of the betweenparton interaction. A typical SF is given by a vacuum matrix element of a configuration of Wilson lines that reflects the classical picture of scattering. Being in many aspects artificial, SFs contain a set of infrared divergences and are defined only within an appropriate regularization. Studying the structure of divergences, one gets access to the scaling equations and corresponding anomalous dimensions. In turn, it allows one to resum large logarithms of factorization scales and obtain scattering cross-sections in a wide kinematic range.Considering the processes where several partons participate in single hard interaction one often deals with SFs of the form

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supporting

confidence: 74%

“…A different configuration appears in the multiparton scattering [15][16][17][18]. In this case partons scatter pairwise, and SF reads…”

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Correspondence between Soft and Rapidity Anomalous Dimensions

2017

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“…31 Using Eqs. (12), (13), and (15), and the above values of λ(Q 2 0 ) we obtain C 3IP = 0.125±0.025 GeV −2 for Q 2 0 = 0.5 GeV 2 , and C 3IP = 0.14 ± 0.025 GeV −2 for Q 2 0 = 1 GeV 2 . As a result we can estimate 2 …”

Section: -Mechanismsupporting

confidence: 54%

Open charm production in double parton scattering processes in the forward kinematics

Blok

Strikman

2016

Eur. Phys. J. C

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We calculate the rate of double open charm production in the forward kinematics studied recently in the LHCb experiment. We find that the mean field approximation for the double parton GPD (generalized parton distributions), which neglects parton-parton correlations, underestimates the rate by a factor of 2. The enhancement due to the perturbative QCD correlation 1 ⊗ 2 mechanism which explains the rate of double parton interactions at the central rapidities is found to explain 60 ÷ 80% of the discrepancy. We argue that the nonperturbative fluctuations leading to nonfactorized (correlated) contributions to the initial conditions for the DGLAP collinear evolution of the double parton GPD play an important role in this kinematics. Combined, the two correlation mechanisms provide a good description of the rate of double charm production reported by the LHCb. We also give predictions for the variation of the σ eff (i.e. the ratio of double and square of single inclusive rates) in the discussed kinematics as a function of p t . The account for two correlation mechanisms strongly reduces the sensitivity of the results to the starting point of the QCD evolution.

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Diehl¹,

Gaunt²,

Ostermeier³

et al. 2017

Light Cone 2015

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An essential part of any factorisation proof is the demonstration that the exchange of Glauber gluons cancels for the considered observable. We show this cancellation at all orders for double Drell-Yan production (the double parton scattering process in which a pair of electroweak gauge bosons is produced) both for the integrated cross section and for the cross section differential in the transverse boson momenta. In the process of constructing this proof, we also revisit and clarify some issues regarding the Glauber cancellation argument and its relation to the rest of the factorisation proof for the single Drell-Yan process. A Evaluation of Feynman integrals in light-cone coordinates 53B Alternative approach to the double scattering collinear factor 54 C Timelike Wilson lines 56References 59-1 -

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Cancellation of Glauber gluon exchange in the double Drell-Yan process

Cited by 76 publications

References 87 publications

Correspondence between Soft and Rapidity Anomalous Dimensions

Correspondence between Soft and Rapidity Anomalous Dimensions

Open charm production in double parton scattering processes in the forward kinematics

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