What was already known
The C-parameter shoulder produces large perturbative logarithms. Earlier shoulder-resummation work on thrust and heavy jet mass does not supply the C-parameter-specific measurement functions calculated here.
What changed and why it matters
A substantial factorization and perturbative calculation for a defined collider observable, beyond a known-answer classroom exercise.
The AI contribution
Schwartz conceived and directed the project and reports validating the calculations. Claude Opus 4.5 performed the derivations, Monte Carlo work, numerical analysis and manuscript preparation under his supervision; other models also assisted.
Limitations
The source is a preprint. Accuracy is limited to the stated perturbative and logarithmic orders and kinematic region. Reported Monte Carlo agreement is an author check, not independent validation. AIProofWatch has not audited or reproduced the calculations.
Verification evidence
Evidence labels show what supports the claim. Importance rates its impact if correct.
Author claim
The author reports the factorization result and validation against Monte Carlo.
Accessible artifact / proof
Detailed derivations and contribution statement are available; not reproduced by AIProofWatch.
Correction and publication history
Historical addition after primary-source review of statement, baseline, AI attribution and evidence scope. AIProofWatch has not independently verified the result; subscriber alerts disabled.
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