Sivers and Boer-Mulders observables from lattice QCD

Musch, Bernhard; Hägler, Ph.; Engelhardt, Michael; Negele, John W.; Schäfer, Andreas

doi:10.1103/physrevd.85.094510

Cited by 160 publications

(277 citation statements)

References 61 publications

(181 reference statements)

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“…Even if to a lesser extent some information on the Boer-Mulders function [54] has been also gathered [55][56][57][58][59][60][61]. On the other hand, up to now, very little is known on gluon TMDs.…”

Section: Jhep09(2015)119mentioning

confidence: 99%

Towards a first estimate of the gluon Sivers function from A N data in pp collisions at RHIC

D’Alesio

Murgia

Pisano

2015

J. High Energ. Phys.

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Within a generalized parton model approach, with inclusion of spin and intrinsic transverse momentum effects, we show how the latest, highly precise, midrapidity data on the transverse single spin asymmetry measured in pp → π 0 X by the PHENIX Collaboration at RHIC [1], can be used to get a first estimate on the still poorly known gluon Sivers distribution. To this end we also adopt the present information on the quark Sivers functions, as extracted from semi-inclusive deeply inelastic scattering data. This analysis updates a previous study by some of us where a first bound on this distribution was obtained [2].

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Section: Jhep09(2015)119mentioning

confidence: 99%

Towards a first estimate of the gluon Sivers function from A N data in pp collisions at RHIC

D’Alesio

Murgia

Pisano

2015

J. High Energ. Phys.

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“…For further details, cf. [9,12]. The partial contribution already furnishes roughly one half of the full shift at the highest ζ reached, signaling that the calculation has covered a significant part of the evolution to largeζ.…”

Section: Lattice Evaluation and Resultsmentioning

confidence: 96%

“…The definition of TMD observables amenable to lattice evaluation has been laid out in detail in [9]. Summarizing briefly, the starting point is the fundamental correlator…”

Section: Definition Of Tmd Observablesmentioning

confidence: 99%

Lattice QCD calculations of transverse momentum-dependent parton distributions (TMDs)

Engelhardt

Musch

Bhattacharya

et al. 2016

EPJ Web of Conferences

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Abstract. An ongoing program of evaluating TMD observables within Lattice QCD is reviewed, summarizing recent progress with respect to several challenges faced by such calculations. These lattice calculations are based on a definition of TMDs through hadronic matrix elements of quark bilocal operators containing staple-shaped gauge connections. A parametrization of the matrix elements in terms of invariant amplitudes serves to cast them in the Lorentz frame preferred for a lattice calculation. Data on the naively T-odd Sivers and Boer-Mulders effects as well as the transversity TMD are presented.

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“…Upon taking Mellin moments, this quantity can be evaluated on the lattice [46,47], which suggests a lattice study of the GL dependence off (1)[U ] 1 (x, b 2 T ). For this purpose one can for example consider regularized versions of ratios such as 6) where…”

Section: Gauge Link Dependence In Lattice Studiesmentioning

confidence: 99%

Operator analysis of pT -widths of TMDs

Boer

Buffing

Mulders

2015

J. High Energ. Phys.

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Transverse momentum dependent (TMD) parton distribution functions (PDFs), TMDs for short, are defined as the Fourier transform of matrix elements of nonlocal combinations of quark and gluon fields. The nonlocality is bridged by gauge links, which for TMDs have characteristic paths (future or past pointing), giving rise to a process dependence that breaks universality. It is possible, however, to construct sets of universal TMDs of which in a given process particular combinations are needed with calculable, process-dependent, coefficients. This occurs for both T-odd and T-even TMDs, including also the unpolarized quark and gluon TMDs. This extends the by now well-known example of T-odd TMDs that appear with opposite sign in single-spin azimuthal asymmetries in semi-inclusive deep inelastic scattering or in the Drell-Yan process. In this paper we analyze the cases where TMDs enter multiplied by products of two transverse momenta, which includes besides the p T -broadening observable, also instances with rank-2 structures. To experimentally demonstrate the process dependence of the latter cases requires measurements of second harmonic azimuthal asymmetries, while the p T -broadening will require measurements of processes beyond semi-inclusive deep inelastic scattering or the Drell-Yan process. Furthermore, we propose specific quantities that will allow for theoretical studies of the process dependence of TMDs using lattice QCD calculations.

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Sivers and Boer-Mulders observables from lattice QCD

Cited by 160 publications

References 61 publications

Towards a first estimate of the gluon Sivers function from A N data in pp collisions at RHIC

Towards a first estimate of the gluon Sivers function from A N data in pp collisions at RHIC

Lattice QCD calculations of transverse momentum-dependent parton distributions (TMDs)

Operator analysis of pT -widths of TMDs

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