Analytic Calculation of 1-Jettiness in DIS at $\mathcal{O}({\alpha }_s)$

Abstract

We present an analytic $\mathcal{O}({\alpha }_s)$ calculation of cross sections in deep inelastic scattering (DIS) dependent on an event shape, 1-jettiness, that probes final states with one jet plus initial state radiation. This is the first entirely analytic calculation for a DIS event shape cross section at this order. We present results for the differential and cumulative 1-jettiness cross sections, and express both in terms of structure functions dependent not only on the usual DIS variables $x$, $Q^2$ but also on the 1-jettiness $\tau$. Combined with previous results for log resummation, predictions are obtained over the entire range of the 1-jettiness distribution.

40 pages, 8 figures

References in corpus (12)

• Parton distributions for the LHC
• A precise determination of alpha_s from LEP thrust data using effective field theory
• NNLO corrections to event shapes in $e^{+}{e}^{-}$ annihilation
• A practical Seedless Infrared-Safe Cone jet algorithm
• NNLO corrections to 3-jet observables in electron-positron annihilation
• Second-order QCD corrections to the thrust distribution
• The Quark Beam Function at NNLL
• Resummation of heavy jet mass and comparison to LEP data
• Event shapes and jet rates in electron-positron annihilation at NNLO
• Designing Gapped Soft Functions for Jet Production
• QCD Factorization for Deep-Inelastic Scattering At Large Bjorken $x_B\sim 1-\mathcal{O}({\Lambda }_{\mathrm{QCD}}/Q$
• Analytic Calculation of 1-Jettiness in DIS at $\mathcal{O}({\alpha }_s)$

Cited by in corpus (9)

• The N-jettiness soft function at next-to-next-to-leading order
• Analytic Calculation of 1-Jettiness in DIS at $\mathcal{O}({\alpha }_s)$
• Revisiting the role of grooming in DIS
• 1-jettiness with jet axis at $O({\alpha }_s)$ in jeep inelastic scattering
• The DIS 1-Jettiness Event Shape at N${}^3$LL+$\mathcal{O}({\alpha }_s^2)$
• Observation and differential cross section measurement of neutral current DIS events with an empty hemisphere in the Breit frame
• Angularity in Higgs boson decays via $\mathbf{H}\to \mathbf{gg}$ at NNLL${}^{\prime }$ accuracy
• Precision DIS thrust predictions for HERA and EIC
• Jet Charge with Global Event Shapes: Probing Quark Flavor Dynamics