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The Born--Oppenheimer approximation is the standard tool for the study of molecular systems. It is founded on the observation that the energy scale of the electron dynamics in a molecule is larger than that of the nuclei. A very similar…

High Energy Physics - Phenomenology · Physics 2018-01-31 Nora Brambilla , Gastão Krein , Jaume Tarrús Castellà , Antonio Vairo

The linearized massless wave equation in four-dimensional asymptotically flat spacetimes is known to admit two families of solutions that transform in highest-weight representations of the Lorentz group ${\rm SL}(2, \mathbb{C})$. The two…

High Energy Physics - Theory · Physics 2025-05-15 Elizabeth Himwich , Monica Pate

We investigate the breakdown of collinear factorization for non-inclusive observables in hadron-hadron collisions. For pure QCD processes, factorization is violated at the three-loop level and it has a structure identical to that…

High Energy Physics - Phenomenology · Physics 2015-06-05 Jeffrey R. Forshaw , Michael H. Seymour , Andrzej Siodmok

We generalize the celebrated heavy quark expansion to nonlocal QCD operators. By taking nonlocal heavy-light current on the light-cone as an example, we confirm that the collinear singularities are common between QCD operator and the…

High Energy Physics - Phenomenology · Physics 2020-04-29 Shuai Zhao

Correlation functions of energy flow operators (energy-energy correlators) are one of the simplest observables in quantum field theory and gravity, with diverse applications ranging from real world collider physics to constraining the space…

High Energy Physics - Theory · Physics 2025-12-12 Bianka Meçaj , Ian Moult , Matthew T. Walters , Yuan Xin

By utilizing the di-hadron fragmentation formalism, we extend the previous factorization of nearside energy-energy correlators (EEC) in the collinear limit and derive an all order resummation in the Fourier transform $b_T$-space. A perfect…

High Energy Physics - Phenomenology · Physics 2025-07-22 Yuxun Guo , Feng Yuan , Wenbin Zhao

We review the basic concepts of all-order calculations in Quantum Chromodynamics (QCD) and their application to collider phenomenology. We start by discussing the factorization properties of QCD amplitudes and cross-sections in the soft and…

High Energy Physics - Phenomenology · Physics 2017-10-11 Gionata Luisoni , Simone Marzani

Factorization theorems play a crucial role in our understanding of the strong interaction. For collider processes they are typically formulated at leading power and much less is known about power corrections in the $\lambda\ll 1$ expansion.…

High Energy Physics - Phenomenology · Physics 2018-05-09 Cyuan-Han Chang , Iain W. Stewart , Gherardo Vita

We consider a collinear effective theory of highly energetic quarks with energy E, interacting with collinear and soft gluons by integrating out collinear degrees of freedom to subleading order. The collinear effective theory offers a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Junegone Chay , Chul Kim

We calculate the next-to-leading order (NLO) quantum chromodynamics (QCD) corrections to $\gamma+\gamma\to \eta_c+c+\bar{c}$, $\gamma+\gamma\to \eta_b+b+\bar{b}$ and $\gamma+\gamma\to B_c+b+\bar{c}$ processes in the framework of…

High Energy Physics - Phenomenology · Physics 2022-05-25 Hao Yang , Zi-Qiang Chen , Cong-Feng Qiao

The calculation of physical quantities in certain quantum field theories such as those of the Argyres-Douglas type is notoriously hard, due to the lack of a Lagrangian description. Here we tackle this problem following two alternative…

High Energy Physics - Theory · Physics 2022-07-06 Agnese Bissi , Francesco Fucito , Andrea Manenti , José Francisco Morales , Raffaele Savelli

We introduce collinear drop jet substructure observables, which are unaffected by contributions from collinear radiation, and systematically probe soft radiation within jets. These observables can be designed to be either sensitive or…

High Energy Physics - Phenomenology · Physics 2020-07-15 Yang-Ting Chien , Iain W. Stewart

We calculate the next-to-leading order (NLO) quantum chromodynamics (QCD) correction to the exclusive process $\gamma+\gamma\to J/\psi+J/\psi$ in the framework of non-relativistic QCD (NRQCD) factorization formalism. The cross sections at…

High Energy Physics - Phenomenology · Physics 2020-06-11 Hao Yang , Zi-Qiang Chen , Cong-Feng Qiao

Light-front quantum chromodynamics may lead to an accurate constituent approximation for the low-energy properties of hadrons. This requires a cutoff that violates explicit gauge invariance and Lorentz covariance, leading to the calculation…

Nuclear Theory · Physics 2007-05-23 Robert J. Perry

We analytically calculate higher order corrections to coefficient functions of the operator product expansion (OPE) for the Euclidean correlator of two energy-momentum tensors in massless QCD. These are the three-loop contribution to the…

High Energy Physics - Phenomenology · Physics 2015-06-11 M. F. Zoller , K. G. Chetyrkin

The Large Hadron Collider (LHC) has provided, and will continue to provide, data for collisions at the highest energies ever seen in a particle accelerator. A strong knowledge of the properties of amplitudes for Quantum Chromodynamics in…

High Energy Physics - Phenomenology · Physics 2017-07-27 James D. Cockburn

We apply the Operator Product Expansion (OPE) algorithm to the renormalization of scalar-QED theory, with a specific focus on the fixed-charge operator $\phi^Q$. Within the OPE framework, the anomalous dimension of the $\phi^Q$ operator is…

High Energy Physics - Theory · Physics 2026-05-29 Rijun Huang , Qingjun Jin , Yi Li

The energy-energy correlation (EEC) measures the angular distribution of the energy that flows through two calorimeters separated by some relative angle in the final state created by a source. We study this observable in the limit of small…

High Energy Physics - Theory · Physics 2020-01-29 G. P. Korchemsky

We introduce the Celestial Energy-Energy Correlator (cEEC), an infrared and collinear safe observable that makes the celestial conformal symmetry of four-dimensional scattering manifest. The cEEC is defined as a correlation function of…

High Energy Physics - Theory · Physics 2026-01-30 HongYi Ruan , YiZhe Zheng , Hua Xing Zhu

We present automated next-to-leading order QCD and/or electroweak (EW) predictions for photon-photon processes in ultraperipheral high-energy collisions of protons and ions, extending the capabilities of the MadGraph5_aMC@NLO framework…

High Energy Physics - Phenomenology · Physics 2025-07-03 Hua-Sheng Shao , Lukas Simon