Jet mass with a jet veto at two loops and the universality of non-global structure

Abstract

We investigate the exclusive jet mass distribution in e+e- events, defined with a veto on the out-of-jet radiation, at two-loop order. In particular, we calculate the two-loop soft function, which is required to describe this distribution in the threshold region. When combined with other ingredients using soft-collinear effective theory, this generates the complete singular distribution for jet thrust, the sum of the jet masses, at two-loop order. The result is in excellent agreement with full QCD. The integrated jet thrust distribution is found to depend in an intricate way on both the finite jet cone size, R, and the jet veto scale. The result clarifies the structure of the potentially large logarithms (both global and non- global) which arise in jet observables for the first time at this order. Somewhat surprisingly, we find that, in the small R limit, there is a precise and simple correspondence between the non-global contribution to the integrated jet thrust distribution and the previously calculated non-global contribution to the integrated hemisphere soft function, including subleading terms. This suggests that the small R limit may provide a useful expansion for studying other exclusive jet substructure observables.

36 pages, 4 Figures

References in corpus (19)

• Top-tagging: A Method for Identifying Boosted Hadronic Tops
• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• A precise determination of alpha_s from LEP thrust data using effective field theory
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• Jets from Massive Unstable Particles: Top-Mass Determination
• NNLO corrections to event shapes in $e^{+}{e}^{-}$ annihilation
• NNLO corrections to 3-jet observables in electron-positron annihilation
• Second-order QCD corrections to the thrust distribution
• Resummation of heavy jet mass and comparison to LEP data
• Resummation and NLO Matching of Event Shapes with Effective Field Theory
• The Beam Thrust Cross Section for Drell-Yan at NNLL Order
• The Soft Function for Exclusive N-Jet Production at Hadron Colliders
• W-jet Tagging: Optimizing the Identification of Boosted Hadronically-Decaying W Bosons
• Non--global logs and clustering impact on jet mass with a jet veto distribution
• Double Non-Global Logarithms In-N-Out of Jets
• Threshold Hadronic Event Shapes with Effective Field Theory
• Hemisphere Soft Function at O(alpha_s^2) for Dijet Production in e+e- Annihilation
• Jet Regions from Event Shapes and the N-Jet Soft Function at Hadron Colliders
• Measurement of the top pair invariant mass distribution at 7 TeV and search for new physics

Cited by in corpus (25)

• Jet Substructure at the Large Hadron Collider: A Review of Recent Advances in Theory and Machine Learning
• 50 Years of Quantum Chromodynamics
• An Effective Field Theory for Jet Processes
• Hard-Soft-Collinear Factorization to All Orders
• Jet Mass Spectra in Higgs + One Jet at NNLL
• N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution
• NNLL Resummation for Jet Broadening
• Non-global Logarithms at 3 Loops, 4 Loops, 5 Loops and Beyond
• Resummation of Jet Mass at Hadron Colliders
• A Soft-Collinear Mode for Jet Cross Sections in Soft Collinear Effective Theory
• Jet axes and universal transverse-momentum-dependent fragmentation
• Abelian Non-Global Logarithms from Soft Gluon Clustering
• Jet Shape Resummation Using Soft-Collinear Effective Theory
• Generic dijet soft functions at two-loop order: correlated emissions
• Factorization for the light-jet mass and hemisphere soft function
• QCD resummation for light-particle jets
• The two-loop soft function for heavy quark pair production at future linear colliders
• The Edge of Jets and Subleading Non-Global Logs
• Transverse Vetoes with Rapidity Cutoff in SCET
• Disentangling Clustering Effects in Jet Algorithms
• Resummation with Wilson lines off the light cone
• Analytic Boosted Boson Discrimination
• Pileup and Infrared Radiation Annihilation (PIRANHA): A Paradigm for Continuous Jet Grooming
• Non-Global Correlations in Collider Physics
• Effective Field Theories for the LHC