Angular distributions of higher order splitting functions in the vacuum and in dense QCD matter

Fickinger, Michael; Ovanesyan, Grigory; Vitev, Ivan

doi:10.48550/arxiv.1304.3497

Cited by 21 publications

(31 citation statements)

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“…Now specialize to the multiple scattering approximation, where the quantum mechanics problems are harmonic oscillator problems. As reviewed in our notation in the preceding paper [7], 19 the single-splitting result is then specifically…”

Section: 23)mentioning

confidence: 99%

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The LPM effect in sequential bremsstrahlung 2: factorization

Arnold

Chang

Iqbal

2016

J. High Energ. Phys.

154

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The splitting processes of bremsstrahlung and pair production in a medium are coherent over large distances in the very high energy limit, which leads to a suppression known as the Landau-Pomeranchuk-Migdal (LPM) effect. In this paper, we continue analysis of the case when the coherence lengths of two consecutive splitting processes overlap (which is important for understanding corrections to standard treatments of the LPM effect in QCD), avoiding soft-gluon approximations. In particular, this paper analyzes the subtle problem of how to precisely separate overlapping double splitting (e.g. overlapping double bremsstrahlung) from the case of consecutive, independent bremsstrahlung (which is the case that would be implemented in a Monte Carlo simulation based solely on single splitting rates). As an example of the method, we consider the rate of real double gluon bremsstrahlung from an initial gluon with various simplifying assumptions (thick media;q approximation; large N c ; and neglect for the moment of processes involving 4-gluon vertices) and explicitly compute the correction ∆ dΓ/dx dy due to overlapping formation times.

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Section: 23)mentioning

confidence: 99%

“…For a discussion (in different formalism) of double bremsstrahlung in the opposite limit-media thin enough that the physics is dominated by a single interaction with the medium-see ref [19]…”

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confidence: 99%

The LPM effect in sequential bremsstrahlung 2: factorization

Arnold

Chang

Iqbal

2016

J. High Energ. Phys.

154

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“…Within SCET G , the relevant interaction terms are included at the level of the Lagrangian. By making use of the collinear sector of the corresponding EFT, the full collinear in-medium splitting functions have been derived in the past years to first order in opacity [28][29][30][31]. When finite quark masses are neglected, the in-medium splitting functions are given by the vacuum splitting functions times a modification factor that depends on the properties of the medium.…”

Section: Introductionmentioning

confidence: 99%

Inclusive production of small radius jets in heavy-ion collisions

2017

Self Cite

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We develop a new formalism to describe the inclusive production of small radius jets in heavy-ion collisions, which is consistent with jet calculations in the simpler proton-proton system. Only at next-to-leading order (NLO) and beyond, the jet radius parameter $R$ and the jet algorithm dependence of the jet cross section can be studied and a meaningful comparison to experimental measurements is possible. We are able to consistently achieve NLO accuracy by making use of the recently developed semi-inclusive jet functions within Soft Collinear Effective Theory (SCET). In addition, single logarithms of the jet size parameter $\alpha_s^n\ln^n R$ are resummed to next-to-leading logarithmic (NLL$_R$) accuracy. The medium modified semi-inclusive jet functions are obtained within the framework of SCET with Glauber gluons that describe the interaction of jets with the medium. We present numerical results for the suppression of inclusive jet cross sections in heavy ion collisions at the LHC and the formalism developed here can be extended directly to corresponding jet substructure observables.Comment: 8 pages, 5 figure

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“…Many theoretical formalisms have been developed in the study of multiple scatterings which in turn can be used to extract medium properties from the nontrivial nuclear dependence observed in the experiments of high-energy collisions with nuclear targets. Significant progress has been made in the past few years, in particular, in the study of parton energy loss [25][26][27][28][29], radiative corrections to transverse momentum broadening [30][31][32][33], effects of multiple gluon emissions [34][35][36], and phenomenological extraction of the jet transport parameter from jet quenching in high-energy heavy-ion collisions [37]. However, so far a complete next-to-leading-order (NLO) calculation in perturbative QCD (pQCD) for either jet quenching or transverse momentum broadening is still lacking, which is essential for more precise extraction of medium properties from experimental data.…”

Section: Introductionmentioning

confidence: 99%

Transverse momentum broadening in semi-inclusive deep inelastic scattering at next-to-leading order

Kang

Wang

et al. 2016

Phys. Rev. D

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Within the framework of higher-twist collinear factorization, transverse momentum broadening for the final hadrons in semi-inclusive deeply inelastic e + A collisions is studied at the next-to-leading order (NLO) in perturbative QCD. Through explicit calculations of real and virtual corrections at twist-4, the transverse-momentum-weighted differential cross section due to double scattering is shown to factorize at NLO and can be expressed as a convolution of twist-4 nuclear parton correlation functions, the usual twist-2 fragmentation functions and hard parts which are finite and free of any divergences. A QCD evolution equation is also derived for the renormalized twist-4 quarkgluon correlation function which can be applied to future phenomenological studies of transverse momentum broadening and jet quenching at NLO.

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Angular distributions of higher order splitting functions in the vacuum and in dense QCD matter

Cited by 21 publications

References 0 publications

The LPM effect in sequential bremsstrahlung 2: factorization

The LPM effect in sequential bremsstrahlung 2: factorization

Inclusive production of small radius jets in heavy-ion collisions

Transverse momentum broadening in semi-inclusive deep inelastic scattering at next-to-leading order

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