<p>Energy-correlator-based jet substructure has gained significant attention in recent years. One of the notable applications has been the study of multi-scale jets, where distinct physical scales manifest as features localised in different angular regions of the correlator. In this article, we present the first high-precision study of energy correlators on the simplest multi-scale jets: heavy boson jets. In such systems, the boson mass <i>M</i> introduces an additional scale, generating a sharp peak at angles ~ <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi>M</mi> <mo>/</mo> <msubsup> <mi>p</mi> <mi>T</mi> <mi>jet</mi> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( M/{p}_T^{\mathrm{jet}} \)</EquationSource> </InlineEquation>. We show that this feature can be computed directly by boosting the EEC spectrum measured in <i>e</i><sup>+</sup><i>e</i><sup>−</sup> → hadrons at the <i>Z</i> pole. We identify that the peak arises from boosting the well-studied Sudakov factorisation governing the back-to-back limit of the two-point correlator. As a result, the feature is controlled by Sudakov resummation, not a Breit-Wigner-like structure in the <i>Z</i> decay, and is therefore calculable with exceptional precision. We provide predictions at N<sup>3</sup>LL<sup>′</sup> accuracy for both <i>pp Z</i>-tagged jets and <i>e</i><sup>+</sup><i>e</i><sup>−</sup> di-<i>Z</i> production, and compare them to Herwig and Pythia simulations, finding close agreement. We also demonstrate that the boosted-<i>Z</i> spectrum can be constructed directly by boosting OPAL measurements at the <i>Z</i> pole. In this light, energy-correlator jet substructure on the hadronic decays of heavy bosons at the LHC provide access to clean, lepton-collider-like measurements across a wide range of effective centre-of-mass energies set by the boson jet transverse momentum.</p>

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High precision heavy-boson-jet substructure with energy correlators

  • Jack Holguin,
  • Ian Moult,
  • Aditya Pathak,
  • Massimiliano Procura,
  • Siddharth Sule

摘要

Energy-correlator-based jet substructure has gained significant attention in recent years. One of the notable applications has been the study of multi-scale jets, where distinct physical scales manifest as features localised in different angular regions of the correlator. In this article, we present the first high-precision study of energy correlators on the simplest multi-scale jets: heavy boson jets. In such systems, the boson mass M introduces an additional scale, generating a sharp peak at angles ~ M / p T jet \( M/{p}_T^{\mathrm{jet}} \) . We show that this feature can be computed directly by boosting the EEC spectrum measured in e+e → hadrons at the Z pole. We identify that the peak arises from boosting the well-studied Sudakov factorisation governing the back-to-back limit of the two-point correlator. As a result, the feature is controlled by Sudakov resummation, not a Breit-Wigner-like structure in the Z decay, and is therefore calculable with exceptional precision. We provide predictions at N3LL accuracy for both pp Z-tagged jets and e+e di-Z production, and compare them to Herwig and Pythia simulations, finding close agreement. We also demonstrate that the boosted-Z spectrum can be constructed directly by boosting OPAL measurements at the Z pole. In this light, energy-correlator jet substructure on the hadronic decays of heavy bosons at the LHC provide access to clean, lepton-collider-like measurements across a wide range of effective centre-of-mass energies set by the boson jet transverse momentum.