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Transverse-Energy-Energy Correlations in Deep Inelastic Scattering
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Transverse-Energy-Energy Correlations in Deep Inelastic Scattering
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Event shape observables have been widely used for precision QCD studies at various lepton and hadron colliders. We present the most accurate calculation of the transverse-energy-energy correlation event shape variable in deep-inelastic scattering. In the framework of soft-collinear effective theory the cross section is factorized as the convolution of the hard function, beam function, jet function and soft function in the back-to-back limit. A close connection to TMD factorization is established, as the beam function when combined with part of the soft function is identical to the conventional TMD parton distribution function, and the jet function is the second moment of the TMD fragmentation function matching coefficient. We validate our framework by comparing the obtained LO and NLO leading singular distributions to the full QCD calculations in the back-to-back limit. We report the resummed transverse-energy-energy correlation distributions up to N$^3$LL accuracy matched with the NLO cross section for the production of a lepton and two jets. Our work provides a new way to precisely study TMD physics at the future Electron-Ion Collider.
Forward citations
Cited by 5 Pith papers
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Multiplicity-dependent forward jet production in proton-nucleus collisions
New CGC+SCET factorization framework for multiplicity-dependent single-inclusive forward jets in pA collisions that preserves the inclusive limit and identifies saturation effects on internal jet evolution.
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Multiplicity-dependent forward jet production in proton-nucleus collisions
CGC plus SCET semi-inclusive jet functions yield a multiplicity-conditioned forward-jet factorization that reduces exactly to the known inclusive CGC jet cross section.
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Azimuthal decorrelation in diffractive dijet production
All-order resummation of soft gluons for transverse energy-energy correlators in diffractive dijet production demonstrates sensitivity of acoplanarity to diffractive TMDs.
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Exploring nuclear modification using one-point energy correlator at the electron-ion collider
OPEC in e+A collisions factorizes in TMD QCD and predicts ~0.3–0.4 nuclear suppression at small angles, growing with angle, as a probe of cold-nuclear-matter broadening.
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Energy Correlators Resolving Proton Spin
The work establishes a correspondence between spin-dependent energy correlators and polarized TMDs/NECs using SCET, yielding N3LL/N2LL predictions for correlation patterns in current and target fragmentation regions.
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