Exploring the structure of the proton through polarization observables in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>l</mml:mi><mml:mi>p</mml:mi><mml:mo>→</mml:mo><mml:mtext mathvariant="bold">jet</mml:mtext></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>X</mml:mi></mml:math>

We study single jet production in electron-nucleus collisions e − + N A → J + X, using the 1-jettiness (τ 1 ) global event shape. It inclusively quantifies the pattern of radiation in the final state, gives enhanced sensitivity to soft radiation at wide angles from the nuclear beam and final-state jet, and facilitates the resummation of large Sudakov logarithms associated with the veto on additional jets. Through their effect on the observed pattern of radiation, 1-jettiness can be a useful probe of nuclear PDFs and power corrections from dynamical effects in the nuclear medium. This formalism allows for the standard jet shape analysis while simultaneously providing sensitivity to soft radiation at wide angles from the jet. We use a factorization framework for cross-sections differential in τ 1 and the transverse momentum (P J T ) and rapidity (y) of the jet, in the region τ 1 P J T . The restriction τ 1 P J T allows only soft radiation between the nuclear beam and jet directions, thereby acting as a veto on additional jets. This region is also insensitive to the details of the jet algorithm, allowing for better theoretical control over resummation, while providing enhanced sensitivity to nuclear medium effects. We give numerical results at leading twist, with resummation at the next-to-next-to-leading logarithmic (NNLL) level of accuracy, for a variety of nuclear targets. Such studies would be ideal for the EIC and the LHeC proposals for a future electron-ion collider, where a range of nuclear targets are planned.

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“…From Eqs. (30) through (41), the soft function model can be parameterized by the function F mod. which is related to S mod.…”

Section: A Nuclear Pdfs and Master Formulamentioning

confidence: 99%

“…(41). The jet, beam, and soft functions in momentum space are given in terms of their position-space analogs as…”

Section: Appendix A: Field-theoretic Definitionsmentioning

confidence: 99%

Probing nuclear dynamics in jet production with a global event shape

et al. 2013

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“…) and DSAs ( n ↑ → {π, K} X [62]) in this reaction, and already several theoretical works in the literature have analyzed these observables [50,[63][64][65][66]. Lastly, one can attempt to push the twist-3 framework to next-to-leading-order for this process [67,68].…”

Section: Introductionmentioning

confidence: 99%

Operator constraints for twist-3 functions and Lorentz invariance properties of twist-3 observables

et al. 2016

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We investigate the behavior under Lorentz tranformations of perturbative coefficient functions in a collinear twist-3 formalism relevant for high-energy observables including transverse polarization of hadrons. We argue that those perturbative coefficient functions can, a priori, acquire quite different yet Lorentz-invariant forms in various frames. This somewhat surprising difference can be traced back to a general dependence of the perturbative coefficient functions on lightcone vectors which are introduced by the twist-3 factorization formulae and which are frame-dependent. One can remove this spurious frame dependence by invoking so-called Lorentz invariance relations (LIRs) between twist-3 parton correlation functions. Some of those relations for twist-3 distribution functions were discussed in the literature before. In this paper we derive the corresponding LIRs for twist-3 fragmentation functions. We explicitly demonstrate that these LIRs remove the lightcone vector dependence by considering transverse spin observables in the single-inclusive production of hadrons in leptonnucleon collisions, N → hX. With the LIRs in hand, we also show that twist-3 observables in general can be written solely in terms of three-parton correlation functions.

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“…The DSA A LT has already been studied in several processes: inclusive DIS, W boson decay from pp collisions, 5 jet production in lepton-proton collisions, 6 and Drell-Yan. 7 However, no process considered in the literature so far has involved a complete set of collinear twist-3 functions.…”

Section: Analytical Resultsmentioning

confidence: 99%

DOUBLE SPIN ASYMMETRY A_LT IN THE PRODUCTION OF PHOTONS, HADRONS, AND JETS

Pitonyak

2012

Int. J. Mod. Phys. Conf. Ser.

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We calculate the double spin asymmetry (DSA) A LT in proton-proton (pp) collisions for the production of photons, hadrons, and jets in the collinear twist-3 framework. These processes allows us for the first time to access a complete set of collinear twist-3 functions. We also give numerical estimates for the asymmetries of which photon production shows the most promise of a measurable effect. Furthermore, we comment on how these asymmetries would allow us to probe the gluon helicity down to as of yet unexplored x values, remark on the importance of these effects in determining the evolution of the Efremov-Teryaev-Qiu-Sterman (ETQS) function T F (x, x), and discuss their usefulness in resolving the true mechanism behind the large transverse single spin asymmetries (SSAs) measured in pp collisions.

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Exploring the structure of the proton through polarization observables inlp→jetX

Cited by 49 publications

References 101 publications

Probing nuclear dynamics in jet production with a global event shape

Probing nuclear dynamics in jet production with a global event shape

Operator constraints for twist-3 functions and Lorentz invariance properties of twist-3 observables

DOUBLE SPIN ASYMMETRY A_LT IN THE PRODUCTION OF PHOTONS, HADRONS, AND JETS

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Exploring the structure of the proton through polarization observables inlp→jetX

Cited by 49 publications

References 101 publications

Probing nuclear dynamics in jet production with a global event shape

Probing nuclear dynamics in jet production with a global event shape

Operator constraints for twist-3 functions and Lorentz invariance properties of twist-3 observables

DOUBLE SPIN ASYMMETRY ALT IN THE PRODUCTION OF PHOTONS, HADRONS, AND JETS

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DOUBLE SPIN ASYMMETRY A_LT IN THE PRODUCTION OF PHOTONS, HADRONS, AND JETS