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Aspects of Jets at 100 TeV

Andrew J. Larkoski, Jesse Thaler

TL;DR

Jet analyses at a future $100$ TeV collider face strong pileup and a wide dynamical range; the paper investigates three techniques to improve performance: WTA recoil-free jet axes, soft drop grooming, and Sudakov-safe observables. WTA axes provide recoil insensitivity, soft drop grooming preserves the scale invariance of QCD while mitigating contamination, and Sudakov-safe observables enable quasi-conformal, flavor-blind probes beyond IRC safety. They demonstrate through MC studies that WTA axes remain stable under pileup, soft drop stabilizes dijet mass across pileup scenarios, and Δ_E/z_max distributions show weak energy-scale dependence and approximate flavor independence, offering a potential standard candle for jet calibration. These results point to practical benefits for 100 TeV physics and also inform jet analyses at the LHC.

Abstract

We present three case studies at a 100 TeV proton collider for how jet analyses can be improved using new jet (sub)structure techniques. First, we use the winner-take-all recombination scheme to define a recoil-free jet axis that is robust against pileup. Second, we show that soft drop declustering is an effective jet grooming procedure that respects the approximate scale invariance of QCD. Finally, we highlight a potential standard candle for jet calibration using the soft-dropped energy loss. This latter observable is remarkably insensitive to the scale and flavor of the jet, a feature that arises because it is infrared/collinear unsafe, but Sudakov safe.

Aspects of Jets at 100 TeV

TL;DR

Jet analyses at a future TeV collider face strong pileup and a wide dynamical range; the paper investigates three techniques to improve performance: WTA recoil-free jet axes, soft drop grooming, and Sudakov-safe observables. WTA axes provide recoil insensitivity, soft drop grooming preserves the scale invariance of QCD while mitigating contamination, and Sudakov-safe observables enable quasi-conformal, flavor-blind probes beyond IRC safety. They demonstrate through MC studies that WTA axes remain stable under pileup, soft drop stabilizes dijet mass across pileup scenarios, and Δ_E/z_max distributions show weak energy-scale dependence and approximate flavor independence, offering a potential standard candle for jet calibration. These results point to practical benefits for 100 TeV physics and also inform jet analyses at the LHC.

Abstract

We present three case studies at a 100 TeV proton collider for how jet analyses can be improved using new jet (sub)structure techniques. First, we use the winner-take-all recombination scheme to define a recoil-free jet axis that is robust against pileup. Second, we show that soft drop declustering is an effective jet grooming procedure that respects the approximate scale invariance of QCD. Finally, we highlight a potential standard candle for jet calibration using the soft-dropped energy loss. This latter observable is remarkably insensitive to the scale and flavor of the jet, a feature that arises because it is infrared/collinear unsafe, but Sudakov safe.

Paper Structure

This paper contains 6 sections, 13 equations, 7 figures.

Table of Contents

  1. Introduction
  2. Winner-Take-All at 100 TeV
  3. Soft Drop at 100 TeV
  4. Standard Candles at 100 TeV
  5. Conclusions
  6. Effect of Non-Uniform Pileup

Figures (7)

  • Figure 1: The angular shift of the jet axis due to pileup, comparing the standard $E$-scheme jet axis (top) to the WTA jet axis (bottom), sweeping the number of pileup vertices $N_{\rm PV}$.
  • Figure 2: The median angular shift due to pileup as a function of the jet $p_T$, comparing the $E$-scheme and WTA axes. We have fixed $N_\text{PV} = 50$. The lower (upper) error bar corresponds to the first (third) quartile. For WTA, the median and the third quartile are in fact zero for the $p_T$ range studied.
  • Figure 3: Distribution of the reconstructed dijet invariant mass for a 10 TeV $Z'$ resonance, sweeping the number of pileup vertices $N_{\rm PV}$. The top plot is without any pileup mitigation and the bottom plot is after the soft drop procedure.
  • Figure 4: Comparing the median of the dijet mass from $Z'$ decays with different values of the soft drop grooming parameter $\beta$ as a function of the number of pileup vertices $N_{\text{PV}}$. The lower (upper) error bar corresponds to the first (third) quartile.
  • Figure 5: Distribution of the total fractional energy loss $\Delta_E$ after soft drop for quark jet (top) and gluon jets (bottom) over a range of $p_T$ values. "LL" is the distribution computed from Eq. (\ref{['eq:b0el']}), with the appropriate $B_i$ factors for quark and gluon jets.
  • ...and 2 more figures