QCD corrections of all structure functions in transverse momentum dependent factorization for Drell-Yan processes

P., J.; Zhang, G. P.

doi:10.1007/jhep02(2014)100

Cited by 12 publications

(13 citation statements)

References 61 publications

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“…Because of this, the virtual correction for the term with the derivative of δ 2 (q ⊥ ) is completely determined by the quark form factor with the subtraction defined with the gauge links. The situation is similar to that of corrections beyond tree-level in TMD factorization discussed in [26]. We note here that in the subtraction with the gauge links the collinear divergences will be subtracted.…”

Section: Jhep02(2015)163supporting

confidence: 59%

Gauge invariance and QCD twist-3 factorization for single spin asymmetries

Zhang

2015

J. High Energ. Phys.

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Abstract:The collinear factorization at twist-3 for Drell-Yan processes is studied with the motivation to solve the discrepancy in literature about the single spin asymmetry in the lepton angular distribution, and to show how QCD gauge invariance is realized in the hadronic tensor. The obtained result here agrees with our early result derived with a totally different approach. In addition to the asymmetry we can construct another two observables to identify the spin effect. We show that the gauge invariance of different contributions in the hadronic tensor is made in different ways by summing the effects of gluon exchanges. More interestingly is that we can show that the virtual correction to one structure function of the hadronic tensor, hence to some weighted SSA observables, is completely determined by the quark form factor. This will simplify the calculation of higher order corrections. The corresponding result in semi-inclusive DIS is also given for the comparison with Drell-Yan processes.

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Section: Jhep02(2015)163supporting

confidence: 59%

Gauge invariance and QCD twist-3 factorization for single spin asymmetries

Zhang

2015

J. High Energ. Phys.

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“…As mentioned earlier, this is a topic that has recently developed very rapidly. Recent dedicated publications include [50][51][52][53][54][55][56][57][58][59][60][61][62][63]. QCD evolution equations have been constructed, in particular for unpolarized TMD PDFs and also for polarized TMDs such as the Sivers function.…”

Section: Available Data and Parameterizationsmentioning

confidence: 99%

“…A TMD factorization theorem has been established at the leading twist for semi-inclusive processes [42][43][44][45][46][47][48][49]. TMD evolution theory is also developing very rapidly [50][51][52][53][54][55][56][57][58][59][60][61][62][63]. Boer [3] gave an overview at Spin2014, and an annual workshop series dedicated to this topic was established in 2012.…”

Section: Accessing the Tmds In High-energy Reactionsmentioning

confidence: 99%

Three-dimensional imaging of the nucleon and semi-inclusive high-energy reactions

2015

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We present a short overview of studies of the transverse-momentum-dependent parton distribution functions of the nucleon. The aim of such studies is to provide three-dimensional imaging of the nucleon and a comprehensive description of semi-inclusive high-energy reactions. By summarizing what we have done in constructing the theoretical framework for inclusive deep inelastic lepton-nucleon scattering and one-dimensional imaging of the nucleon, we try to sketch out an outline of what we need to do to construct such a comprehensive theoretical framework for semi-inclusive processes in terms of three-dimensional gauge-invariant parton distributions. Next, we present an overview of what we have already achieved, with an emphasis on the theoretical framework for semi-inclusive reactions in leading-order perturbative quantum chromodynamics but with leading and higher twist contributions. We summarize in particular the results for the differential cross section and azimuthal spin asymmetries in terms of the gauge-invariant transverse-momentum-dependent parton distribution functions. We also briefly summarize the available experimental results on semi-inclusive reactions and the parameterizations of transverse-momentum-dependent parton distributions extracted from them and present an outlook for future studies.

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“…The calculation of one-loop hard coefficients can be performed in the same way as [16]. One-loop hard coefficient H…”

Section: One-loop Correctionmentioning

confidence: 99%

“…This parton-like part has been included in tree level result and should be subtracted to avoid calculating tree level diagrams by twice. For details of subtraction one can consult [19], [16], [24]. At leading power one can show that all real corrections to hadronic tensor can be subtracted by the correction to gluon distribution and soft factors.…”

Section: One-loop Correctionmentioning

confidence: 99%

Back-to-back heavy quark pair production in semi-inclusive DIS

Zhang

2017

J. High Energ. Phys.

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The one-loop correction to heavy quark pair back-to-back production in unpolarized semi-inclusive deep inelastic scattering is given in this work in the framework of transverse momentum dependent(TMD) factorization. Both unpolarized and linearly polarized TMD gluon distribution functions are taken into account. A subtraction method based on diagram expansion is used to get finite hard coefficients. It is found the soft and collinear divergences of one-loop amplitude is proportional to tree level ones and can be expressed through several basic scalar triangle and bubble integrals. The subtraction of these divergences is spin independent. Beyond tree level an additional soft factor related to final heavy quark pair must be added into the factorization formula. This soft factor affects the azimuthal angle distribution of virtual photon in a nonperturbative way. Integrating over virtual photon azimuthal angle we construct three weighted cross sections, which depend on only three additional integrated soft factors. These weighted cross sections can be used to extract linearly polarized gluon distribution function. In addition, lepton azimuthal angle is unintegrated in this work, which provides more observables. All hard coefficients relevant to lepton and virtual photon azimuthal angle distributions are given at one-loop level.

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QCD corrections of all structure functions in transverse momentum dependent factorization for Drell-Yan processes

Cited by 12 publications

References 61 publications

Gauge invariance and QCD twist-3 factorization for single spin asymmetries

Gauge invariance and QCD twist-3 factorization for single spin asymmetries

Three-dimensional imaging of the nucleon and semi-inclusive high-energy reactions

Back-to-back heavy quark pair production in semi-inclusive DIS

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