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Factorization restoration through Glauber gluons
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We analyze the low-energy dynamics of gap-between-jets cross sections at hadron colliders, for which phase factors in the hard amplitudes spoil collinear cancellations and lead to double (``super-leading'') logarithmic behavior. Based on a method-of-regions analysis, we identify three-loop contributions from perturbative active-active Glauber-gluon exchanges with the right structure to render the cross section consistent with PDF factorization below the gap veto scale. The Glauber contributions we identify are unambiguously defined without regulators beyond dimensional regularization.
Forward citations
Cited by 5 Pith papers
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geoSCET: Soft Theorems from Power Counting
geoSCET derives geometric soft theorems for scalar field theories directly from effective-field-theory power counting and proves they are exact to all orders in perturbation theory when no potential is present.
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Collinear-factorization-violating contributions from a single Glauber gluon factor into collinear and soft subgraphs, and their leading rapidity logarithms exponentiate via the gluon Regge trajectory.
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Low-energy theory of jet processes and PDF factorization
A three-loop Glauber contribution to low-energy soft-collinear matrix elements exactly cancels the collinear factorization-violating terms, so DGLAP running and PDF factorization are consistent with super-leading logarithms.
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Using colour conservation and rescaling symmetry, the two-particle collinear constraints are shown to imply multi-particle collinear factorisation through four loops, and a new triple-collinear constraint is derived f...
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