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Related papers: NLO evolution of 3-quark Wilson loop operator

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We obtain relations between partial-wave amplitudes for pi-N-->pi-N and pi-N-->pi-Delta directly from large N_c QCD. While linear relations among certain amplitudes holding at leading order (LO) in 1/N_c were derived in the context of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Thomas D. Cohen , Daniel C. Dakin , Richard F. Lebed , Abhinav Nellore

We present a calculation of next-to-leading-order (NLO) QCD corrections to total hadronic production cross sections and to light-hadron-decay rates of heavy quarkonium states. Both colour-singlet and colour-octet contributions are included.…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Petrelli , M. Cacciari , M. Greco , F. Maltoni , M. L. Mangano

We calculate the order alpha_s^2 and order alpha_s^3 QCD contributions to colour-singlet exchange in the leading log s approximation. We implement the resulting amplitude at the hadronic level and thus construct the QCD pomeron and odderon…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. R. Cudell , B. U. Nguyen

We consider elastic quark-quark scattering at high energy and fixed transferred momentum. Performing factorization of soft gluon exchanges into Wilson lines vacuum expectation values and studying their properties, we find that the…

High Energy Physics - Phenomenology · Physics 2009-10-22 G. P. Korchemsky

The high energy evolution equations that describe the evolution of hadronic amplitudes with energy are derived assuming eikonal interaction of the evolved hadronic wave function with the target. In this note we remark that this derivation…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tolga Altinoluk , Alex Kovner , Javier Peressutti

Scattering amplitudes in maximally supersymmetric gauge theory are dual to super-Wilson loops on null polygonal contours. The operator product expansion for the latter revealed that their dynamics is governed by the evolution of…

High Energy Physics - Theory · Physics 2015-06-18 A. V. Belitsky , S. E. Derkachov , A. N Manashov

At hadron colliders, the leading production mechanism for a pair of photons is from quark-anti-quark annihilation at the tree level. However, due to large gluon-gluon luminosity, the loop-induced process $gg\to \gamma \gamma$ provides a…

High Energy Physics - Phenomenology · Physics 2019-10-16 Fabio Maltoni , Manoj K. Mandal , Xiaoran Zhao

We present the predictions at next-to-leading order (NLO) in the strong coupling for the single-top cross section in the t channel at the Tevatron and the LHC. Our calculation starts from the 2 -> 3 Born amplitude g q -> t bbar q', keeping…

High Energy Physics - Phenomenology · Physics 2009-06-30 John M. Campbell , Rikkert Frederix , Fabio Maltoni , Francesco Tramontano

We introduce a new model of near-forward elastic proton-(anti)proton scattering at high energy based on the modern formulation of Pomeron and Odderon in terms of Wilson lines and generalized TMDs (GTMDs). We compute the helicity-dependent…

High Energy Physics - Phenomenology · Physics 2020-06-24 Yoshikazu Hagiwara , Yoshitaka Hatta , Roman Pasechnik , Jian Zhou

Classes of two-nucleon ($2N$) contact interactions are developed in configuration space at leading order (LO), next-to-leading order (NLO), and next-to-next-to-next-to-leading order (N3LO) by fitting the experimental singlet $np$ scattering…

Nuclear Theory · Physics 2021-06-02 R. Schiavilla , L. Girlanda , A. Gnech , A. Kievsky , A. Lovato , L. E. Marcucci , M. Piarulli , M. Viviani

I demonstrate that the amplitude for high-energy scattering can be factorized as a convolution of the contributions due to fast and slow fields. The fast and slow fields interact by means of Wilson-line operators -- infinite gauge factors…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ian Balitsky

We rederive the small-$x$ evolution equations governing quark helicity distribution in a proton using solely an operator-based approach. In our previous works on the subject, the evolution equations were derived using a mix of diagrammatic…

High Energy Physics - Phenomenology · Physics 2019-04-03 Yuri V. Kovchegov , Matthew D. Sievert

The hadron-energy evolution (Collins and Soper) equation for all the leading-twist transverse-momentum and spin dependent parton distributions is derived in the impact parameter space. Based on the result, we present resummation formulas…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ahmad Idilbi , Xiangdong Ji , Jian-Ping Ma , Feng Yuan

We present the two- and three-pion exchange contributions to the nucleon-nucleon interaction which occur at next-to-next-to-next-to-next-to-leading order (N4LO, fifth order) of chiral effective field theory, and calculate nucleon-nucleon…

Nuclear Theory · Physics 2015-01-14 D. R. Entem , N. Kaiser , R. Machleidt , Y. Nosyk

We consider the perturbative (weak field) limit of the small $x$ QCD evolution equation for quadrupole, the normalized trace of four Wilson lines in the fundamental representation, which appears in di-hadron angular correlation in high…

High Energy Physics - Phenomenology · Physics 2013-05-30 Jamal Jalilian-Marian

We revisit the calculation of the next-to-leading order (NLO) corrections to dijet production in electron-ion collisions at small $x$. We focus on the back-to-back configuration where the relative transverse momentum $P_\perp$ of the…

High Energy Physics - Phenomenology · Physics 2025-10-10 Paul Caucal , Edmond Iancu , Farid Salazar , Feng Yuan

We report on recent progress in the calculation of the 3-loop massive Wilson coefficients in deep-inelastic scattering at general values of $N$ for neutral and charged current reactions in the asymptotic region $Q^2 \gg m^2$. Four new out…

High Energy Physics - Phenomenology · Physics 2013-12-03 A. Behring , J. Blümlein , A. De Freitas , T. Pfoh , C. Raab , M. Round , J. Ablinger , A. Hasselhuhn , C. Schneider , F. Wißbrock , A. von Manteuffel

The amplitude for the collision of two hadrons with the lowest order pomeron loop is calculated. Numerical calculations show that the loop contribution to the amplitude begins to dominate the single pomeron exchange at rapidities 8-10. Full…

High Energy Physics - Phenomenology · Physics 2015-06-15 M. A. Braun , A. N. Tarasov

Compton scattering is a fundamental process in QED with broad applications, yet its theoretical description at high energies is challenged by substantial next-to-leading order (NLO) corrections arising from double-logarithmic enhancements.…

High Energy Physics - Phenomenology · Physics 2025-11-13 Hai Tao Li , Yan-Qing Ma , Cheng-Tai Tan , Jian Wang , Hong-Fei Zhang

Most of the progress in high-energy Quantum Chromodynamics has been obtained within the eikonal approximation and infinite Wilson-line operators. Evolution equations of Wilson lines with respect to the rapidity parameter encode the dynamics…

High Energy Physics - Phenomenology · Physics 2019-01-18 Giovanni Antonio Chirilli