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The Transverse Energy-Energy Correlator in the Back-to-Back Limit
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We present an operator based factorization formula for the transverse energy-energy correlator (TEEC) hadron collider event shape in the back-to-back (dijet) limit. This factorization formula exhibits a remarkably symmetric form, being a projection onto a scattering plane of a more standard transverse momentum dependent factorization. Soft radiation is incorporated through a dijet soft function, which can be elegantly obtained to next-to-next-to-leading order (NNLO) due to the symmetries of the problem. We present numerical results for the TEEC resummed to next-to-next-to-leading logarithm (NNLL) matched to fixed order at the LHC. Our results constitute the first NNLL resummation for a dijet event shape observable at a hadron collider, and the first analytic result for a hadron collider dijet soft function at NNLO. We anticipate that the theoretical simplicity of the TEEC observable will make it indispensable for precision studies of QCD at the LHC, and as a playground for theoretical studies of factorization and its violation.
Forward citations
Cited by 4 Pith papers
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Energy-Energy Correlator at Hadron Colliders: Celestial Blocks and Singularities
First analytic leading-order calculation of the full-angle energy-energy correlator in hadron collisions, with celestial block decomposition and Regge-limit factorization.
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The Three-Point Energy Correlator in the Coplanar Limit
A new tau_p projection makes the coplanar limit of the three-point energy correlator a TMD-factorized trijet observable, resummed to N3LL, the first trijet event shape at this order.
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Transverse Parton Distribution and Fragmentation Functions at NNLO: the Quark Case
The authors compute NNLO quark transverse momentum dependent PDFs and fragmentation functions with the exponential regulator, and extract the two-loop quark jet function needed for N3LL energy-energy correlator resummation.
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