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Diehl, Markus; Gaunt, Jonathan R.; Ostermeier, Daniel; Plößl, Peter; Schäfer, Andreas

doi:10.1007/978-3-319-50699-9_6

Cited by 9 publications

(13 citation statements)

References 90 publications

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“…Glauber loops will in general vanish unless all of the Glauber exchanges can be slid without impediment to an equal longitudinal position when considering diagrams in time ordered perturbation theory. 24 In section 9.3 we consider the correspondence of our EFT derived results with the semi-classical picture of eikonal scattering, as well as with the shockwave picture and the multi-Wilson line EFT framework of [4]. While the exclusive two to two scattering amplitude can be thought of as a semiclassical process, virtual collinear corrections, even in the purely abelian case, violate this picture for this exclusive rate.…”

Section: Jhep08(2016)025mentioning

confidence: 93%

“…The process through which massless spectators interact is called "Glauber exchange" and proving that such interactions cancel in various observables has been a subject which, while well appreciated, has often not received the attention it deserves. Derivations of factorization theorems for hadron collisions exist in only a few special cases, namely for Drell-Yan-like process [19][20][21], for single inclusive hadron production [22,23], and recently for doubleparton scattering [24] (with arguments for situations with observed jets in [25]), each using the techniques of CSS [21]. These results are often used to motivate using factorization to make predictions in other hadron-hadron scattering observables without complete proofs.…”

Section: Jhep08(2016)025 1 Introductionmentioning

confidence: 99%

“…Here when we subtract, LS 2f − S (G 24 ) 3 is zero or proportional to δ(n · ). In both cases these δ-functions force the -momentum in these differences into a Glauber region, making the results equal to their (24) and (13) subtractions respectively. Rearranging, these results we have…”

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confidence: 99%

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An effective field theory for forward scattering and factorization violation

Rothstein

Stewart

2016

J. High Energ. Phys.

135

291

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Starting with QCD, we derive an effective field theory description for forward scattering and factorization violation as part of the soft-collinear effective field theory (SCET) for high energy scattering. These phenomena are mediated by long distance Glauber gluon exchanges, which are static in time, localized in the longitudinal distance, and act as a kernel for forward scattering where |t| s. In hard scattering, Glauber gluons can induce corrections which invalidate factorization. With SCET, Glauber exchange graphs can be calculated explicitly, and are distinct from graphs involving soft, collinear, or ultrasoft gluons. We derive a complete basis of operators which describe the leading power effects of Glauber exchange. Key ingredients include regulating light-cone rapidity singularities and subtractions which prevent double counting. Our results include a novel all orders gauge invariant pure glue soft operator which appears between two collinear rapidity sectors. The 1-gluon Feynman rule for the soft operator coincides with the Lipatov vertex, but it also contributes to emissions with ≥ 2 soft gluons. Our Glauber operator basis is derived using tree level and one-loop matching calculations from full QCD to both SCET II and SCET I . The one-loop amplitude's rapidity renormalization involves mixing of color octet operators and yields gluon Reggeization at the amplitude level. The rapidity renormalization group equation for the leading soft and collinear functions in the forward scattering cross section are each given by the BFKL equation. Various properties of Glauber gluon exchange in the context of both forward scattering and hard scattering factorization are described. For example, we derive an explicit rule for when eikonalization is valid, and provide a direct connection to the picture of multiple Wilson lines crossing a shockwave. In hard scattering operators Glauber subtractions for soft and collinear loop diagrams ensure that we are not sensitive to the directions for soft and collinear Wilson lines. Conversely, certain Glauber interactions can be absorbed into these soft and collinear Wilson lines by taking them to be in specific directions. We also discuss criteria for factorization violation.

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Section: Jhep08(2016)025mentioning

confidence: 93%

Section: Jhep08(2016)025 1 Introductionmentioning

confidence: 99%

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An effective field theory for forward scattering and factorization violation

Rothstein

Stewart

2016

J. High Energ. Phys.

135

291

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“…[47,48]) and have been recently retaken [49][50][51] developing numerical codes able to solve the evolution equations. In addition also theoretical progresses have been reported (for example the demonstration that the exchange of Glauber gluons cancels for the considered observable, a step forward in the proof of QCD factorization for DPS [52]). …”

Section: A Perturbative Evolution Of Dpdfs In Mellin Spacementioning

confidence: 99%

Correlations in double parton distributions: perturbative and non-perturbative effects

Rinaldi

Scopetta

Traini

et al. 2016

J. High Energ. Phys.

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The correct description of Double Parton Scattering (DPS), which represents a background in several channels for the search of new Physics at the LHC, requires the knowledge of double parton distribution functions (dPDFs). These quantities represent also a novel tool for the study of the three-dimensional nucleon structure, complementary to the possibilities offered by electromagnetic probes. In this paper we analyze dPDFs using Poincaré covariant predictions obtained by using a Light-Front constituent quark model proposed in a recent paper, and QCD evolution. We study to what extent factorized expressions for dPDFs, which neglect, at least in part, two-parton correlations, can be used. We show that they fail in reproducing the calculated dPDFs, in particular in the valence region. Actually measurable processes at existing facilities occur at low longitudinal momenta of the interacting partons; to have contact with these processes we have analyzed correlations between pairs of partons of different kind, finding that, in some cases, they are strongly suppressed at low longitudinal momenta, while for other distributions they can be sizeable. For example, the effect of gluon-gluon correlations can be as large as 20 %. We have shown that these behaviors can be understood in terms of a delicate interference of non-perturbative correlations, generated by the dynamics of the model, and perturbative ones, generated by the model independent evolution procedure. Our analysis shows that at LHC kinematics two-parton correlations can be relevant in DPS, and therefore we address the possibility to study them experimentally.

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“…One might expect that arguments similar to the ones used to justify factorization for inclusive double-parton scattering (see, e.g., Refs. [38,39,40]) apply to these proposed processes. We finally point out that the type of reactions discussed here could also constrain GPDs in the ERBL region, where experimental information is still sparse -see Refs.…”

Section: Discussionmentioning

confidence: 99%

Observables for Generalized TMDs of Quarks

Bhattacharya¹,

Metz²,

Zhou³

2018

Proceedings of QCD Evolution 2017 — PoS(QCDEV2017)

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Generalized TMDs (GTMDs) of hadrons are the most general two-parton correlation functions. Upon certain projections, several GTMDs reduce to generalized parton distributions (GPDs) and transverse momentum dependent parton distributions (TMDs), respectively. Therefore, GTMDs can be considered as partonic "mother functions". Moreover, two of the GTMDs play an important role in the nucleon spin structure. We show that, by means of the exclusive double Drell-Yan process, GTMDs for quarks can in principle be measured. This is the first known process which is sensitive to these objects. Specific GTMDs can be addressed via suitable polarization observables. We also identify other processes that are directly sensitive to GTMDs.

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Untitled

Cited by 9 publications

References 90 publications

An effective field theory for forward scattering and factorization violation

An effective field theory for forward scattering and factorization violation

Correlations in double parton distributions: perturbative and non-perturbative effects

Observables for Generalized TMDs of Quarks

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