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Related papers: Two-loop anomalous dimensions for small-$R$ jet ve…

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The resummation of soft gluon exchange for QCD hard scattering requires a matrix of anomalous dimensions, which has been computed through two loops. The two-loop matrix is proportional to the one-loop matrix. Recently there have been…

High Energy Physics - Phenomenology · Physics 2009-10-29 Lance J. Dixon

The measurement of the triple-differential dijet production cross section as a function of the average transverse momentum $p_{T,\textrm{avg}}$, half the rapidity separation $y^{*}$, and the boost $y_{b}$ of the two leading jets in the…

High Energy Physics - Phenomenology · Physics 2019-10-04 Aude Gehrmann-De Ridder , Thomas Gehrmann , E. W. N. Glover , Alexander Huss , Joao Pires

We study the Sudakov form factor and the four-point scattering amplitude on the Coulomb branch of planar $\mathcal{N}=4$ SYM as functions of the Coulomb-branch parameters and kinematic invariants. This setup provides a controlled probe of…

High Energy Physics - Theory · Physics 2026-05-18 Luis F. Alday , Elisabetta Armanini , Andrei V. Belitsky , Kelian Häring , Alexander Zhiboedov

In view of the increasing precision of theoretical calculations and experimental measurements, power corrections to transverse-momentum-dependent observables are highly important. We study the next-to-leading power corrections for…

High Energy Physics - Phenomenology · Physics 2024-02-06 Rafael F. del Castillo , Max Jaarsma , Ignazio Scimemi , Wouter Waalewijn

Often the factorization of differential cross sections results in the definition of fundamental hadronic functions/distributions which have a double-scale evolution, as provided by a pair of coupled equations. Typically, the two scales are…

High Energy Physics - Phenomenology · Physics 2018-08-29 Ignazio Scimemi , Alexey Vladimirov

The perturbative QCD fragmentation functions for a heavy quark to fragment into heavy-light mesons are studied in the heavy-quark limit. The fragmentation functions for S-wave pseudoscalar and vector mesons are calculated to next-to-leading…

High Energy Physics - Phenomenology · Physics 2010-11-01 E. Braaten , K. Cheung , S. Fleming , T. C. Yuan

We exactely calculate the inclusive transverse momentum (kt) distributions and the 2-particle momentum correlations in high energy hadronic jets at the Modified Leading Logarithmic Approximation (MLLA) of QCD (Quantum Chromodynamics). We…

High Energy Physics - Phenomenology · Physics 2007-05-23 Redamy Perez Ramos

Single-scale quantities, like the QCD anomalous dimensions and Wilson coefficients, obey difference equations. Therefore their analytic form can be determined from a finite number of moments. We demonstrate this in an explicit calculation…

High Energy Physics - Phenomenology · Physics 2014-11-18 J. Blümlein , M. Kauers , S. Klein , C. Schneider

The analytic calculation of the three-loop QCD $\beta$-function and anomalous dimensions within the minimal subtraction scheme in an arbitrary covariant guage is presented. The result for the $\beta$-function coincides with the previous…

High Energy Physics - Phenomenology · Physics 2011-05-05 S. A. Larin , J. A. M. Vermaseren

The general structure of infrared divergences in the scattering of massive particles is captured by the soft anomalous dimension matrix. The latter can be computed from a correlation function of multiple Wilson lines. The state-of-the-art…

High Energy Physics - Phenomenology · Physics 2023-10-17 Johannes M. Henn , Calum Milloy , Kai Yan

We reconsider the option of extracting the transversity distribution by using interference fragmentation functions into two leading hadrons inside the same current jet. To this end, we perform a new study of two-hadron fragmentation…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alessandro Bacchetta , Marco Radici

We present the result of a calculation for the third and fourth moments of the non-singlet four-loop anomalous dimension of Wilson twist-2 operators in QCD with full color and flavour structures. We discuss also a general expressions for…

High Energy Physics - Phenomenology · Physics 2014-12-17 V. N. Velizhanin

We study hadronic jets that are tagged as heavy-flavoured, i.e. they contain either beauty or charm. In particular, we consider heavy-flavour jets that have been groomed with the Soft Drop algorithm. In order to achieve a deeper…

High Energy Physics - Phenomenology · Physics 2024-03-01 Simone Caletti , Andrea Ghira , Simone Marzani

We report on recent progress on the flavour non-singlet splitting functions in perturbative QCD. The~exact four-loop (N^3LO) contribution to these functions has been obtained in the planar limit of a large number of colours.…

High Energy Physics - Phenomenology · Physics 2018-01-19 A. Vogt , S. Moch , B. Ruijl , T. Ueda , J. A. M. Vermaseren

In this talk we present the result for the $n_f$ dependent piece of the three-loop cusp anomalous dimension in QCD. Remarkably, it is parametrized by the same simple functions appearing in analogous anomalous dimensions in ${\mathcal N}=4$…

High Energy Physics - Theory · Physics 2014-08-21 Andrey Grozin , Johannes M. Henn , Gregory P. Korchemsky , Peter Marquard

To identify some way to measure the quark transversity, this thesis analyzes one-particle and two-particle inclusive deep inelastic scattering, where one and two of the outgoing hadrons are detected in coincidence with the electron. It is…

High Energy Physics - Phenomenology · Physics 2009-09-29 A. Bacchetta

We develop a factorization framework to compute the double differential cross section in soft drop groomed jet mass and groomed jet radius. We describe the effective theories in the large, intermediate, and small groomed jet radius regions…

High Energy Physics - Phenomenology · Physics 2021-04-21 Aditya Pathak , Iain W. Stewart , Varun Vaidya , Lorenzo Zoppi

In the framework based on the quasipotential method and relativistic quark model a new covariant expression for the heavy quark fragmentation amplitude to fragment into the pseudoscalar and vector S-wave heavy mesons is obtained. It…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. P. Martynenko

We consider reduced quantum electrodynamics (RQED$_{d_\gamma,d_e}$) a model describing fermions in a $d_e$-dimensional space-time and interacting via the exchange of massless bosons in $d_\gamma$-dimensions ($d_e \leq d_\gamma$). We compute…

High Energy Physics - Theory · Physics 2021-10-08 S. Metayer , S. Teber

We introduce a method for extracting the cusp anomalous dimension at L loops from four-gluon amplitudes in N=4 Yang-Mills without evaluating any integrals that depend on the kinematical invariants. We show that the anomalous dimension only…

High Energy Physics - Theory · Physics 2008-11-26 Freddy Cachazo , Marcus Spradlin , Anastasia Volovich