Sudakov resummations in Mueller-Navelet dijet production

Mueller, Alfred H.; Szymanowski, L.; Wallon, S.; Xiao, Bo-Wen; Yuan, Feng

doi:10.1007/jhep03(2016)096

Cited by 47 publications

(38 citation statements)

References 42 publications

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“…This is because the rapidity divergence comes from the strong rapidity ordering region and the soft gluon is responsible for the light cone divergence in the double leading logarithm approximation. These analysis have been extended to the other processes, including heavy quark pair production, back-to-back di-jet production in eA and pA collisions, and MuellerNavelet Dijet production [9,10].…”

Section: Jhep06(2016)151mentioning

confidence: 99%

The evolution of the small x gluon TMD

Zhou

2016

J. High Energ. Phys.

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Abstract:We study the evolution of the small x gluon transverse momentum dependent (TMD) distribution in the dilute limit. The calculation has been carried out in the Ji-MaYuan scheme using a simple quark target model. As expected, we find that the resulting small x gluon TMD simultaneously satisfies both the Collins-Soper (CS) evolution equation and the Balitsky-Fadin-Kuraev-Lipatov (BFKL) evolution equation. We thus confirmed the earlier finding that the high energy factorization (HEF) and the TMD factorization should be jointly employed to resum the different type large logarithms in a process where three relevant scales are well separated.

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Section: Jhep06(2016)151mentioning

confidence: 99%

The evolution of the small x gluon TMD

Zhou

2016

J. High Energ. Phys.

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“…As mentioned in Ref. [49], there is a very quick way to derive the complete virtual contribution based on the observation that the sum of virtual contributions is free of UV divergence while only the self-energy diagram contains IR divergence. Therefore, we can obtain the full virtual contribution by simply putting a UV cutoff k ⊥ on the self-energy contribution as follows…”

Section: Appendix A: Evaluation Of Several Integrals In Dimensional Rmentioning

confidence: 99%

Forward hadron productions in proton-proton collisions in small-xformalism

Watanabe

Xiao

2016

Phys. Rev. D

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Employing the so-called hybrid formalism, we calculate the cross section of inclusive hadron production in proton-proton collisions at forward rapidity in small-x formalism at one-loop order. For the case of hadron production at forward rapidity, we can uses collinear parton distributions for projectile proton and k ⊥ dependent gluon distribution for target proton. We show that collinear divergences associated with initial and final state parton radiations are renormalized into parton distributions and fragmentation functions in terms of the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equation, respectively. Furthermore, rapidity divergence can be absorbed into the wave function of target proton which gives rise to the well-known Balitsky-Fadin-Kuraev-Lipatov equation. These divergences are completely separated from the short distance partonic hard parts, which is now finite at the next-to-leading order accuracy. The result presented in this paper can be reckoned as a baseline calculation without any non-linear QCD effects in small-x formalism. As a consistency check, we compare our results with the previous calculation for non-linear protonnucleus collisions in the small-x formalism and find complete agreement in the dilute and large Nc limit. In phenomenology, the direct comparison of the above two separate calculations can reveal the role and strength of the non-linear dynamics in high energy QCD, and thus help us reliably study the onset of gluon saturation when genuine non-linear interactions become important.

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“…x 1,2 are the longitudinal momentum fractions of the partons that are adjacent to the jets. Various works [12,13,14,15,16,17,18,19,20,21,22,23,24,25,26] addressing the azimuthal 2 angle (θ) profile of the two tagged jets, suggest the presence of important minijet activity populating the rapidity interval which can be taken into account by considering a BFKL gluon Green function connecting the two jets. However, it was shown that the azimuthal angle behaviour of the tagged jets is strongly contaminated by collinear effects [27,28], that have their origin at the n = 0 Fourier component in θ of the BFKL kernel.…”

Section: Introductionmentioning

confidence: 99%

Stability of azimuthal-angle observables under higher order corrections in inclusive three-jet production

et al. 2017

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Recently, a new family of observables consisting of azimuthal-angle generalised ratios was proposed in a kinematical setup that resembles the usual Mueller-Navelet jets but with an additional tagged jet in the central region of rapidity. Non-tagged minijet activity between the three jets can affect significantly the azimuthal angle orientation of the jets and is accounted for by the introduction of two BFKL gluon Green functions. Here, we calculate the, presumably, most relevant higher order corrections to the observables by now convoluting the three leading-order jet vertices with two gluon Green functions at next-to-leading logarithmic approximation. The corrections appear to be mostly moderate giving us confidence that the recently proposed observables are actually an excellent way to probe the BFKL dynamics at the LHC. Furthermore, we allow for the jets to take values in different rapidity bins in various configurations such that a comparison between our predictions and the experimental data is a straightforward task. * 'La Caixa'-Severo Ochoa Scholar.

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Sudakov resummations in Mueller-Navelet dijet production

Cited by 47 publications

References 42 publications

The evolution of the small x gluon TMD

The evolution of the small x gluon TMD

Forward hadron productions in proton-proton collisions in small-xformalism

Stability of azimuthal-angle observables under higher order corrections in inclusive three-jet production

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