Colour unwound - disentangling colours for azimuthal asymmetries in Drell-Yan scattering

Boer, Daniël; Daal, Tom van; Gaunt, Jonathan R.; Kasemets, Tomas; Mulders, P.J.

doi:10.21468/scipostphys.3.6.040

Cited by 6 publications

(7 citation statements)

References 71 publications

(156 reference statements)

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“…There are some technical issues that merit further investigation, in particular the missing proof of Ward identities for graphs with eikonal lines and fixed internal momenta, as discussed at the beginning of section 4. Further open problems are described in section 9 of [28] and in section 4.1 of [18]. Nevertheless, we think that the present work contributes to putting factorisation formulae for DPS processes on theoretically firm ground.…”

Section: Discussionmentioning

confidence: 91%

“…However, other parts of the factorisation proof, in particular the discussion of the Glauber region, are more complicated if coloured particles are produced. We recall that for this reason TMD factorisation has only been established for the production of colourless particles, even in SPS [18,27].…”

Section: Discussionmentioning

confidence: 99%

“…Detailed analyses are given in [2,3,5] and [4] for the single and in [7] for the double Drell-Yan process. Into which region the Glauber momenta are to be deformed is subtle, as was pointed out in section 4.1 of [18]. This issue concerns both single and double hard scattering and merits further investigation, which shall not be attempted here.…”

mentioning

confidence: 94%

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Factorisation of soft gluons in multiparton scattering

Diehl

Nagar

2019

J. High Energ. Phys.

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We show that soft gluons exchanged between the two colliding protons in multiparton scattering processes can be decoupled, such that their effects are described by the vacuum expectation values of Wilson lines. Our argument relies on nonabelian Ward identities and generalises the proof of factorisation for single Drell-Yan production givenThe decoupling of soft gluons is one step in the factorisation proof for the double Drell-Yan process. To put this into context, we briefly sketch the different steps of the overall proof. We largely follow the presentation in section 2.1 of [7], which builds on the factorisation proof for single Drell-Yan production discussed in chapter 14.4 of [5].We consider both collinear factorisation, where the transverse momenta of the Drell-Yan lepton pairs are integrated over, and TMD factorisation, where they are measured and small compared with the lepton pair invariant masses. The factorisation proof is readily extended to other channels in which colourless particles are produced. Examples of hard scattering processes are qq → Z, qq ′ → W , gg → H and gg → γγ.1. Power counting. The approximations leading to hard scattering factorisation are based on an expansion in powers of Λ/Q. Here Λ represents all small scales, i.e.

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Section: Discussionmentioning

confidence: 91%

Section: Discussionmentioning

confidence: 99%

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Factorisation of soft gluons in multiparton scattering

Diehl

Nagar

2019

J. High Energ. Phys.

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“…Essentially all the steps towards a proof of factorisation for TMD DPS producing two uncoloured systems have now been completed [1,2,16,23]. Many of the steps have been achieved by adapting the methodology for the corresponding steps in the proof of factorisation for TMD SPS producing an uncoloured system [5,[27][28][29] (for a brief review of these steps, see [30] or [1]).…”

Section: Status Of Factorisationmentioning

confidence: 99%

Transverse Momentum Dependence in Double Parton Scattering

Gaunt

Kasemets

2019

Advances in High Energy Physics

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In this review, we describe the status of transverse momentum dependence (TMD) in double parton scattering (DPS). The different regions of TMD DPS are discussed, and expressions given for the DPS cross section contributions that make use of as much perturbative information as possible. The regions are then combined with each other as well as with single parton scattering to obtain a complete expression for the cross section. Particular emphasis is put on the differences and similarities to transverse momentum dependence in single parton scattering. We further discuss the status of the factorisation proof for double colour singlet production in DPS, which is now on a similar footing to the proofs for TMD factorisation in single Drell-Yan, discuss parton correlations and give an outlook on possible research on DPS in the near future.

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“…[475]. Note, however, that they are sometimes refereed in the literature also as central, left-, and right-moving Glaubers, see for example [106]. 2 In principle momentum conservation allows an interaction of the form ψ𝑠 𝑔𝐴 𝜇 𝑠 𝜓 𝐺 𝑛n , but this operator is subleading with respect to the operator ψ𝑠 𝑔𝐴 𝜇 𝑠 𝜓 𝐺 𝑛𝑠 .…”

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confidence: 99%

QCD Beyond Leading Power

Vita¹

2020

Preprint

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In this thesis I study the infrared limits of Quantum Chromodynamics (QCD) beyond leading power by developing effective quantum field theory techniques. I apply these formal developments to deepen our understanding of the infrared structure of gauge theory amplitudes and cross sections in the soft, collinear and Regge limit, as well as to improve predictions for collider observables.Using and extending the framework of Soft and Collinear Effective Theory (SCET), I explore the ingredients of factorization beyond leading power constructing subleading hard scattering operator and radiative jet and soft functions for processes such as Higgs boson production as well as the production of electroweak gauge bosons and their decay.I introduce new subleading power gauge invariant objects, the 𝜃-jet and 𝜃-soft functions, which arise in the renormalization of non local gauge invariant objects beyond leading power. I use them to achieve, for the first time, the resummation of collinear and soft logarithms beyond leading power for a collider observable in QCD.I study the perturbative power corrections to differential distributions for color singlet production at the Large Hadron Collider (LHC). I explore the implications of retaining the full dependence on the kinematics of the color singlet particles and I highlight and solve the subtleties related to the regularization of rapidity divergences beyond leading power for which I propose a new regulator, the pure rapidity regulator.I present a new method to employ cutting edge multiloop techniques for the computation of the expansions of cross sections in the collinear limit. This allows the extraction of universal ingredients arising in the collinear limit of QCD to an unprecedented level of precision in perturbation theory. It also provides a powerful method to construct systematically improvable analytic approximations to differential distributions at an order beyond what is currently feasible in full kinematics.I also examine factorization and resummation in the Regge limit at the amplitude and the cross section level. I develop a Lagrangian formalism for the treatment of fermion mediated forward scattering processes in QCD, which are generated at iii subleading power in the forward limit, and apply it to obtain the quark reggeization as well as the BFKL resummation of small-𝑥 logarithms for di-photon production at the LHC.

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Colour unwound - disentangling colours for azimuthal asymmetries in Drell-Yan scattering

Cited by 6 publications

References 71 publications

Factorisation of soft gluons in multiparton scattering

Factorisation of soft gluons in multiparton scattering

Transverse Momentum Dependence in Double Parton Scattering

QCD Beyond Leading Power

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