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Related papers: Simplicity from Recoil: The Three-Loop Soft Functi…

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We study the transverse spin structure of the squeezed limit of the three-point energy correlator, $\langle \mathcal{E}(\vec n_1) \mathcal{E}(\vec n_2) \mathcal{E}(\vec n_3) \rangle$. To describe its all orders perturbative behavior, we…

High Energy Physics - Phenomenology · Physics 2022-09-07 Hao Chen , Ian Moult , Hua Xing Zhu

Finding an efficient and compelling regularization of soft and collinear degrees of freedom at the same invariant mass scale, but separated in rapidity is a persistent problem in high-energy factorization. In the course of a calculation,…

High Energy Physics - Phenomenology · Physics 2016-04-05 Ye Li , Duff Neill , Hua Xing Zhu

Jet shapes are weighted sums over the four-momenta of the constituents of a jet and reveal details of its internal structure, potentially allowing discrimination of its partonic origin. In this work we make predictions for quark and gluon…

High Energy Physics - Phenomenology · Physics 2010-12-06 Stephen D. Ellis , Andrew Hornig , Christopher Lee , Christopher K. Vermilion , Jonathan R. Walsh

Energy-energy correlators (EECs), which are energy-weighted cross-sections of particle pairs, offer incisive probes into QCD dynamics, across the full scale of jet evolution, by separating energy scales in the jet fragmentation through the…

Nuclear Experiment · Physics 2025-12-16 Minyoung Hwang

A method to quantitatively assess the consistency of power-counting proposals in Effective Field Theories (EFT) which are non-perturbative at leading order is presented. The Renormalisation Group evolution of an observable predicts the…

Nuclear Theory · Physics 2020-05-20 Harald W. Griesshammer

The energy-energy correlation (EEC) function in $e^+e^-$ annihilation is currently the only QCD event shape observable for which we know the full analytic result at the next-to-leading order (NLO). In this work we calculate the EEC…

High Energy Physics - Phenomenology · Physics 2019-06-17 Ming-xing Luo , Vladyslav Shtabovenko , Tong-Zhi Yang , Hua Xing Zhu

We present a QCD study of fragmentation processes for light and heavy quarks in the semi-inclusive region of large x. Large logarithmic terms, due to soft-gluon radiation, are evaluated and resummed to all perturbative orders in the QCD…

High Energy Physics - Phenomenology · Physics 2010-05-28 M. Cacciari , S. Catani

We consider the production of a pair of heavy quarks ($Q{\bar Q}$) in hadronic collisions. When the transverse momentum $q_T$ of the heavy-quark pair is much smaller than its invariant mass, the QCD perturbative expansion is affected by…

High Energy Physics - Phenomenology · Physics 2015-06-22 S. Catani , M. Grazzini , A. Torre

The cross section for top quark pair production factorizes at small transverse momentum of the heavy quark pair, $q_T$. One of the key ingredients that appears in the factorization formula is the soft function, which mediates soft gluon…

High Energy Physics - Phenomenology · Physics 2018-11-15 Rene Angeles-Martinez , Michal Czakon , Sebastian Sapeta

We construct an evolution equation for the pion wave function in the $k_T$ factorization theorem, whose solution sums the mixed logarithm $\ln x\ln k_T$ to all orders, with $x$ ($k_T$) being a parton momentum fraction (transverse momentum).…

High Energy Physics - Phenomenology · Physics 2015-06-17 Hsiang-nan Li , Yue-Long Shen , Yu-Ming Wang

Using the formalism of soft-collinear effective theory, a complete separation of short- and long-distance contributions to heavy-to-light transition form factors at large recoil is performed. The universal functions $\zeta_M(E)$…

High Energy Physics - Phenomenology · Physics 2010-04-05 Bjorn O. Lange , Matthias Neubert

We present a unified derivation of the resummation of Sudakov logarithms, directly from the factorization properties of cross sections in which they occur. We rederive in this manner the well-known exponentiation of leading and nonleading…

High Energy Physics - Phenomenology · Physics 2008-11-26 Harry Contopanagos , Eric Laenen , George Sterman

The precision description of jet production plays an important role in many aspects of collider physics. In a recent paper we have presented a new factorization theorem for inclusive small radius jet production. The jet function appearing…

High Energy Physics - Phenomenology · Physics 2024-10-04 Kyle Lee , Ian Moult , Xiaoyuan Zhang

We study the QCD scaling behavior of the small-angle Energy-Energy Correlator (EEC), focusing on the transition between its perturbative pre-confinement and non-perturbative post-confinement regimes. Applying the light-ray Operator Product…

High Energy Physics - Phenomenology · Physics 2025-07-23 Cyuan-Han Chang , Hao Chen , Xiaohui Liu , David Simmons-Duffin , Feng Yuan , Hua Xing Zhu

We derive a factorization theorem for the Higgs boson transverse momentum (p_T) and rapidity (Y) distributions at hadron colliders, using the Soft Collinear Effective Theory (SCET), for m_h>> p_T>> \Lambda_{QCD} where m_h denotes the Higgs…

High Energy Physics - Phenomenology · Physics 2015-03-13 Sonny Mantry , Frank Petriello

Starting from the first renormalized factorization theorem for a process described at subleading power in soft-collinear effective theory, we discuss the resummation of Sudakov logarithms for such processes in renormalization-group improved…

High Energy Physics - Phenomenology · Physics 2021-07-14 Ze Long Liu , Bianka Mecaj , Matthias Neubert , Xing Wang

We consider electroweak (EW) virtual corrections to $2\to 2$ fermion scattering processes mediated by a vector boson $V$ ($V=W^\pm,Z$) in the pole approximation. As is well known, the computation can be organised into factorisable and…

High Energy Physics - Phenomenology · Physics 2026-05-12 Fazila Ahmadova , Luca Buonocore , Massimiliano Grazzini , Chiara Savoini

In this contribution to the Proceedings of the US Community Study on the Future of Particle Physics (Snowmass 2021) we review recent progress in the evaluation and application of the Energy-Energy Correlator (EEC) event shape observable in…

High Energy Physics - Phenomenology · Physics 2022-03-15 Duff Neill , Gherardo Vita , Ivan Vitev , Hua Xing Zhu

We calculate three-loop corrections to correlation functions of heavy-quark currents in the low- and high-energy regions. We present 30 coefficients both in the low-energy and the high-energy expansion of the scalar and the vector…

High Energy Physics - Phenomenology · Physics 2015-05-30 A. Maier , P. Marquard

We construct a factorization theorem that allows to systematically include QCD corrections to the contribution of the electromagnetic dipole operator in the effective weak Hamiltonian to the $\bar B_s \to \mu^+\mu^-$ decay amplitude. We…

High Energy Physics - Phenomenology · Physics 2023-02-08 Thorsten Feldmann , Nico Gubernari , Tobias Huber , Nicolas Seitz