CompleteO(? s 2 ) corrections to (2 + 1) jet cross sections in deep inelastic scattering

Asymmetries in heavy quark pair and dijet production in electron-proton collisions allow studies of gluon TMDs in close analogy to studies of quark TMDs in semiinclusive DIS. Here we present expressions for azimuthal asymmetries for both unpolarized and transversely polarized proton cases and consider the maximal asymmetries allowed. The latter are found to be rather sizeable, except in certain kinematic limits which are pointed out. In addition, we consider the small-x limit and expectations from a McLerranVenugopalan model for unpolarized and linearly polarized gluons and from a perturbative, large transverse momentum calculation for the T-odd gluon TMDs. Comparison to related observables at RHIC and LHC is expected to provide valuable information about the process dependence of the gluon TMDs. In particular this will offer the possibility of a sign change test of the gluon Sivers TMD and two other T-odd gluon TMDs. This provides additional motivation for studies of azimuthal asymmetries in heavy quark pair and dijet production at a future Electron-Ion Collider.

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“…where the subscripts U + L, L, I, T refer to the specific polarization of the photon [2,36]. 11) JHEP08 (2016)001…”

Section: Heavy Quark Pair Productionmentioning

confidence: 99%

Asymmetries in heavy quark pair and dijet production at an EIC

Boer

Mulders

Pisano

et al. 2016

J. High Energ. Phys.

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“…studied by several authors [31,32], the D and SR contributions for real photons can be found in [13], whereas the D contributions with one virtual photon have only been studied in this work, yet. Because of their importance, we show in Fig.…”

Section: Notationmentioning

confidence: 96%

Inclusive Single- and Dijet Rates in Next-to-Leading Order QCD for γp and γγ Collisions

Pötter

2000

EPJ direct

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We present one-and two-jet inclusive cross sections for γ * γ scattering and virtual photoproduction in ep collisions. The hard cross sections are calculated in next-to-leading order QCD. Soft and collinear singularities are extracted using the phase-space-slicing method. The initial state singularity of the virtual photon depends logarithmically its' virtuality. This logarithm is large and has to be absorbed into the parton distribution function of the virtual photon. We define for this purpose an MS factorization scheme similar to the real photon case. We numerically study the dependence of the inclusive cross sections on the transverse energies and rapidities of the outgoing jets and on the photon virtuality. The ratio of the resolved to the direct cross section in ep collisions is compared to ZEUS data. under Contract 05 7 HH 92P (0), and by EEC Program Human Capital and Mobility through Network Physics at High Energy Colliders under Contract CHRX-CT93-0357 (DG12 COMA). Recently, data has been presented by the ZEUS [23] and the H1 [24] collaborations for electron-proton collisions involving photons with small, but notvanishing P 2 that allow a test of the virtual photon structure. So far, there has only been one measurement of the virtual photon structure function from the PLUTO collaboration at the PETRA e + e − collider [25]. In [26] we made a comparison of theoretical NLO predictions for γ * p inclusive jet production with data from [23], by extending the methods used in [11,12]. This extension will be described in detail in this work. Some theoretical studies of inclusive γ * p cross sections in LO have been presented in [27,28,29]. We also include the case of γ * γ scattering that will become important at LEP2 [30], which is an extension of the work from [20,21].Since the partonic subprocesses of ep and γ * γ scattering are very similar, we will take over the notation 'SR' and 'DR' from the γγ case to ep scattering to simplify the discussion. In ep scattering, the SR component denotes the contribution, where the virtual photon is directly interacting with the partons from the proton, whereas in the DR component the resolved photon interacts with the partons from the proton.The extension from real to virtual photoproduction is done by taking the Weizsäcker-Williams formula to describe the momentum spread of the virtual photon, but keeping P 2 fixed, not integrating over the region of small P 2 and not assuming P 2 = 0. This is described by the unintegrated Weizsäcker-Williams formula. In the hard process, the matrix elements for finite P 2 have to be taken. The matrix elements and the initial and final state singularities for the SR contribution with P 2 = 0 have been calculated in [31,32] in connection with deepinelastic ep scattering (DIS) at HERA, where P 2 is large. Since we consider P 2 to be finite, the photon initial state singularities encountered in real photoproduction do not occur. Instead, when integrating over the phase-space of the final state particles, a logarithm of the type ln(P 2 /E 2 T...

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“…• DISJET [18]: Again the jet definition is restricted to the modified JADE scheme; the program is based on the calculation in Refs. [19,20]. • MEPJET [21]: This is a program for the calculation of arbitrary observables which uses the phase-space-slicing method.…”

Section: Calculationsmentioning

confidence: 99%

Jets and fragmentation

Graudenz¹

1999

J. Phys. G: Nucl. Part. Phys.

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I review the status of next-to-leading-order calculations for hadronic final states in deeply-inelastic lepton-nucleon scattering. In more detail, I focus on calculations of (2+1)-jet-type cross sections, describe recent progress in extending the perturbative description into the transition region between deeply inelastic scattering and photoproduction, and study the validity of the fragmentation function picture for one-particle-inclusive cross sections at small Q 2 and small xp. ‡ Electronic mail address: Dirk.Graudenz@psi.ch,

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CompleteO(? s 2 ) corrections to (2 + 1) jet cross sections in deep inelastic scattering

Cited by 19 publications

References 22 publications

Asymmetries in heavy quark pair and dijet production at an EIC

Asymmetries in heavy quark pair and dijet production at an EIC

Inclusive Single- and Dijet Rates in Next-to-Leading Order QCD for γp and γγ Collisions

Jets and fragmentation

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CompleteO(? s 2 ) corrections to (2 + 1) jet cross sections in deep inelastic scattering

Cited by 19 publications

References 22 publications

Asymmetries in heavy quark pair and dijet production at an EIC

Asymmetries in heavy quark pair and dijet production at an EIC

Inclusive Single- and Dijet Rates in Next-to-Leading Order QCD for γ*p and γ*γ Collisions

Jets and fragmentation

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Product

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Inclusive Single- and Dijet Rates in Next-to-Leading Order QCD for γp and γγ Collisions