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arxiv: 2606.20825 · v1 · pith:NTL3G3UKnew · submitted 2026-06-18 · ✦ hep-ph

Centauric 1-Jettiness in DIS and Universal Power Corrections

Andrew Dotson , June-Haak Ee , Christopher Lee , Yiannis Makris , John Terry This is my paper

Pith reviewed 2026-06-26 16:23 UTC · model grok-4.3

classification ✦ hep-ph
keywords Centauric 1-jettinessDeep Inelastic Scatteringpower correctionsuniversality classjet radiusstrong couplingSCETnon-perturbative effects
0
0 comments X

The pith

Centauric 1-jettiness reduces to a rescaled hemisphere measurement and therefore inherits the same universal non-perturbative shift as DIS thrust.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper introduces Centauric 1-jettiness as a tunable event shape in deep inelastic scattering whose geometric boundaries match those of the Centauro jet algorithm when specific weights are chosen. Using soft-collinear effective theory it derives a factorized cross section valid at small values of the observable, permitting N³LL resummation matched to NLO fixed-order results. The soft measurement function is shown to collapse exactly to a rescaled hemisphere measurement, placing the observable in the same universality class as DIS thrust and jet mass. As a direct result the leading power correction is controlled by the single universal parameter Ω₁ and scales linearly as 1/R with jet radius, a dependence confirmed in simulations and offering a lever to separate the strong coupling from non-perturbative effects.

Core claim

Centauric 1-jettiness factorizes in SCET, its soft function reduces to a rescaled hemisphere measurement, and therefore the leading non-perturbative shift is given by the universal first-moment parameter Ω₁ and scales exactly as 1/R with the jet radius owing to boost invariance along the photon axis in the Breit frame.

What carries the argument

Reduction of the Centauric soft measurement function to a rescaled hemisphere measurement, which places the observable in the universality class of DIS thrust and jet mass.

If this is right

  • The leading non-perturbative shift scales exactly as 1/R with jet radius.
  • The same universal Ω₁ controls the power correction for Centauric 1-jettiness as for DIS thrust and jet mass.
  • Varying the jet radius R supplies an experimental handle to break the degeneracy between α_s and Ω₁.
  • New strategies become available for extracting the strong coupling from DIS event shapes.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same rescaling argument could be applied to any jet algorithm whose boundaries remain invariant under boosts along the photon axis.
  • The 1/R scaling provides a clean test that can be performed in existing Monte Carlo generators before data analysis.
  • Universality may extend to other DIS observables whose soft functions likewise reduce to hemisphere measurements.

Load-bearing premise

The soft measurement function for Centauric 1-jettiness reduces exactly to a rescaled hemisphere measurement.

What would settle it

A direct calculation or Monte Carlo extraction of the leading power correction that fails to scale linearly with 1/R or that requires a parameter other than the universal Ω₁.

read the original abstract

We introduce the \emph{Centauric 1-jettiness}, $\tau_1^C$, a generalized event shape for Deep Inelastic Scattering (DIS) with adjustable beam and jet reference vectors and thus beam and jet regions. We demonstrate that a specific choice of weights allows this observable to exactly reproduce the geometric boundaries of the Centauro jet algorithm in the Breit frame. Within the framework of Soft-Collinear Effective Theory (SCET), we derive a factorized cross section in the small-$\tau_1^C$ region in terms of known perturbative ingredients. This allows the resummation of large logarithms to N$^3$LL accuracy, which we then match to fixed-order NLO QCD ($\mathcal{O}(\alpha_s^2)$) predictions from \texttt{NLOJet++}. We establish that the soft measurement reduces to a rescaled hemisphere measurement, placing Centauric 1-jettiness in the same universality class, for the leading non-perturbative corrections, as DIS thrust and jet mass. As a consequence, the leading non-perturbative shift depends on the same universal first-moment-shift parameter $\Omega_1$ and scales exactly as $1/R$ with the jet radius, thanks to the boost invariance of the Centauro algorithm along the photon axis in the Breit frame, a scaling that we test using \textsc{Pythia} simulations. These results open new strategies for determining the strong coupling from DIS event shapes, with $R$ providing a handle to break the degeneracy between $\alpha_s$ and the universal non-perturbative shift parameter $\Omega_1$.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 2 minor

Summary. The paper introduces Centauric 1-jettiness τ₁^C, a generalized DIS event shape with adjustable reference vectors that, for a specific choice of weights, exactly reproduces the geometric boundaries of the Centauro jet algorithm in the Breit frame. Within SCET it derives a factorized cross section in the small-τ₁^C region using known perturbative ingredients, enabling N³LL resummation matched to NLO QCD from NLOJet++. It establishes that the soft measurement function reduces exactly to a rescaled hemisphere measurement, placing the leading non-perturbative corrections in the same universality class as DIS thrust and jet mass; consequently the leading power correction depends on the universal Ω₁ and scales as 1/R due to boost invariance along the photon axis, a scaling tested in Pythia simulations. The work suggests new strategies for extracting α_s from DIS event shapes by using R to resolve the α_s–Ω₁ degeneracy.

Significance. If the central results hold, the manuscript supplies a new, tunable DIS event shape whose power corrections are controlled by the same universal Ω₁ already established for thrust and jet mass, together with an explicit 1/R scaling that furnishes an experimental handle on the non-perturbative shift. The explicit reduction of the soft function to a rescaled hemisphere measurement (independent of the final universality claim) and the use of known perturbative SCET ingredients are clear strengths. These features extend the domain of universal power-correction studies in DIS and open a concrete route to breaking the α_s–Ω₁ degeneracy.

minor comments (2)
  1. The explicit form of the measurement function and the weights that enforce the Centauro boundaries should be written out in an equation (currently only described in the abstract and introduction) so that the reduction to the rescaled hemisphere can be verified directly.
  2. The Pythia scaling test in the final section would benefit from a quantitative assessment (e.g., fitted slope and uncertainty) rather than a qualitative statement that the 1/R behavior is observed.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive assessment of our work on Centauric 1-jettiness and the recommendation for minor revision. The report accurately captures the main results, including the factorization, N³LL resummation, reduction to the rescaled hemisphere soft function, and the 1/R scaling of the universal power correction.

Circularity Check

0 steps flagged

No significant circularity identified

full rationale

The central derivation proceeds by defining Centauric 1-jettiness via adjustable weights chosen to reproduce Centauro boundaries, then explicitly computing the SCET soft function and demonstrating its reduction to a rescaled hemisphere measurement. This reduction is obtained from the measurement function itself rather than by fitting, self-definition, or prior self-citation. The 1/R scaling of the leading power correction follows directly from the boost invariance of the algorithm in the Breit frame, an independent kinematic property. Universality with DIS thrust and jet mass is inherited only after the explicit reduction is shown; the prior universality results for thrust/jet mass are external and not required to be re-derived here. No load-bearing step reduces to its own input by construction, and no self-citation chain or ansatz smuggling is present in the argument.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claims rest on the SCET factorization framework and the established universality of leading power corrections for hemisphere-like soft functions in DIS; no new free parameters or invented entities are introduced in the abstract.

axioms (2)
  • domain assumption SCET factorization theorem applies to the small-τ₁^C region of this generalized jettiness observable
    Invoked to derive the factorized cross section allowing N3LL resummation.
  • domain assumption Leading non-perturbative corrections are universal for soft functions that reduce to rescaled hemisphere measurements
    Used to conclude that the shift depends on the same Ω₁ as DIS thrust and jet mass.

pith-pipeline@v0.9.1-grok · 5836 in / 1623 out tokens · 37534 ms · 2026-06-26T16:23:15.212413+00:00 · methodology

discussion (0)

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Reference graph

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