Angularity in DIS at next-to-next-to-leading log accuracy

Abstract

Angularity is a class of event-shape observables that can be measured in deep-inelastic scattering. With its continuous parameter $a$ one can interpolate angularity between thrust and broadening and further access beyond the region. Providing such systematic way to access various observables makes angularity attractive in analysis with event shapes. We give the definition of angularity for DIS and factorize the cross-section by using soft-collinear effective theory. The factorization is valid in a wide range of $a$ below and above thrust region but invalid in broadening limit. It contains an angularity beam function, which is new result and we give the expression at $\mathcal{O}(\as)$. We also perform large log resummation of angularity and make predictions at various values of $a$ at next-to-next-to-leading log accuracy.

37 pages, 7 figuers, 1 table

References in corpus (28)

• Parton distributions in the LHC era: MMHT 2014 PDFs
• Electron-Ion Collider in China
• 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
• Jets from Massive Unstable Particles: Top-Mass Determination
• Treating the b quark distribution function with reliable uncertainties
• NNLO corrections to event shapes in $e^{+}{e}^{-}$ annihilation
• Threshold Resummation in Momentum Space from Effective Field Theory
• NNLO corrections to 3-jet observables in electron-positron annihilation
• Momentum Flow Correlations from Event Shapes: Factorized Soft Gluons and Soft-Collinear Effective Theory
• Second-order QCD corrections to the thrust distribution
• Factorization of e+e- Event Shape Distributions with Hadronic Final States in Soft Collinear Effective Theory
• The Quark Beam Function at NNLL
• Science Requirements and Detector Concepts for the Electron-Ion Collider: EIC Yellow Report
• Resummation of Threshold Logarithms in Effective Field Theory For DIS, Drell-Yan and Higgs Production
• Event shapes and jet rates in electron-positron annihilation at NNLO
• C-parameter Distribution at N${}^3$LL${}^{\prime }$ including Power Corrections
• Parton Fragmentation within an Identified Jet at NNLL
• Fragmentation in Jets at NNLO
• Effective Predictions of Event Shapes: Factorized, Resummed, and Gapped Angularity Distributions
• Jet Angularities in Z+jet production at the LHC
• Jet Charge: A Flavor Prism for Spin Asymmetries at the EIC
• Energy-energy correlators in Deep Inelastic Scattering
• Transverse-Energy-Energy Correlations in Deep Inelastic Scattering
• $C$-parameter hadronisation in the symmetric 3-jet limit and impact on ${\alpha }_s$ fits
• The Fully-Differential Quark Beam Function at NNLO
• Measurements of the groomed and ungroomed jet angularities in pp collisions at $\sqrt{s}=5.02$ TeV
• Power corrections to event shapes using eikonal dressed gluon exponentiation

Cited by in corpus (3)

• Phenomenology of jet angularities at the LHC
• 1-jettiness with jet axis at $O({\alpha }_s)$ in jeep inelastic scattering
• Angularity in Higgs boson decays via $\mathbf{H}\to \mathbf{gg}$ at NNLL${}^{\prime }$ accuracy