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We analytically compute non-global logarithms at finite Nc fully up to 4 loops and partially at 5 loops, for the hemisphere mass distribution in e+e- to di-jets to leading logarithmic accuracy. Our method of calculation relies solely on…

High Energy Physics - Phenomenology · Physics 2015-03-27 Kamel Khelifa-Kerfa , Yazid Delenda

The Banfi-Marchesini-Smye (BMS) equation accounts for non-global logarithms to all orders in perturbation theory in the large-Nc approximation. We show that the squared amplitudes for the emission of soft energy-ordered gluons are correctly…

High Energy Physics - Phenomenology · Physics 2021-02-23 Hana Benslama , Yazid Delenda , Kamel Khelifa-Kerfa , Abdelaziz Mohamed Ibrahim

We extend our previous work [1] on calculating non-global logarithms in $e^+ e^-$ annihilation to Higgs/vector boson production in association with a single hard jet at hadron colliders. We analytically compute non-global coefficients in…

High Energy Physics - Phenomenology · Physics 2024-10-11 K. Khelifa-Kerfa

We consider the Banfi-Marchesini-Smye (BMS) equation which resums non-global energy logarithms in the QCD evolution of the energy lost by a pair of jets via soft radiation at large angles. We identify a new physical regime where, besides…

High Energy Physics - Phenomenology · Physics 2018-04-04 Y. Hatta , E. Iancu , A. H. Mueller , D. N. Triantafyllopoulos

We present a calculation of non-global logs at finite $\mathrm{N_c}$ for the hemisphere mass distribution in $e^+e^-\to 2$ jets at single log accuracy up to fifth order in the strong coupling constant. Our results suggest a possible…

High Energy Physics - Phenomenology · Physics 2015-07-07 Yazid Delenda , Kamel Khelifa-Kerfa

We develop an asymptotic perturbation theory for the large logarithmic behavior of the non-linear integro-differential equation describing the soft correlations of QCD jet measurements, the Banfi-Marchesini-Smye (BMS) equation. This…

High Energy Physics - Phenomenology · Physics 2017-03-08 Duff Neill

We compute the fixed-order distribution of the non-global hemisphere mass observable in $e^+ e^-$ annihilation up to four loops for various sequential recombination jet algorithms. In particular, we focus on the $k_t$ and Cambridge/Aachen…

High Energy Physics - Phenomenology · Physics 2025-11-25 K. Khelifa-Kerfa , M. Benghanem

Non-global logarithms (NGLs) are the leading manifestation of correlations between distinct phase space regions in QCD and gauge theories and have proven a challenge to understand using traditional resummation techniques. Recently, the…

High Energy Physics - Phenomenology · Physics 2016-12-21 Andrew J. Larkoski , Ian Moult , Duff Neill

In cross sections with angular cuts, an intricate pattern of enhanced higher-order corrections known as non-global logarithms arises. The leading logarithmic terms were computed numerically two decades ago, but the resummation of subleading…

High Energy Physics - Phenomenology · Physics 2024-03-21 Thomas Becher , Nicolas Schalch , Xiaofeng Xu

Non-global QCD observables are characterised by a sensitivity to the full angular distribution of soft radiation emitted coherently in hard scattering processes. This complexity poses a challenge to their all-order resummation, that was…

High Energy Physics - Phenomenology · Physics 2022-04-13 Andrea Banfi , Frédéric A. Dreyer , Pier Francesco Monni

We compute the logarithmic contributions to the polarized massive Wilson coefficients for deep-inelastic scattering in the asymptotic region $Q^2 \gg m^2$ to 3-loop order in the fixed-flavor number scheme and present the corresponding…

High Energy Physics - Phenomenology · Physics 2021-09-08 J. Blümlein , A. De Freitas , M. Saragnese , C. Schneider , K. Schönwald

We perform the leading logarithmic resummation of nonglobal logarithms for the single-hemisphere jet mass distribution in $e^+e^-$ annihilation including the finite-$N_c$ corrections. The result is compared with the previous all-order…

High Energy Physics - Phenomenology · Physics 2016-04-20 Yoshikazu Hagiwara , Yoshitaka Hatta , Takahiro Ueda

We compute the leading clustering (abelian non-global) logarithms, which arise in the distribution of non-global QCD observables when final-state partons are clustered using the $k_t$ jet algorithm, up to six loops in perturbation theory.…

High Energy Physics - Phenomenology · Physics 2025-06-18 K. Khelifa-Kerfa

This paper provides details of the massless three-loop three-point integrals calculation at the symmetric point. Our work aimed to extend known two-loop results for such integrals to the three-loop level. Obtained results can find their…

High Energy Physics - Phenomenology · Physics 2021-06-17 Andrey Pikelner

We present the analytic calculation of all master integrals for 3-, 4-, and 5-particle semi-inclusive cuts of four-loop massless propagators by means of differential equations. We fix the integration constants by reducing the semi-inclusive…

High Energy Physics - Phenomenology · Physics 2025-03-26 Vitaly Magerya , Levente Fekésházy

We consider a `color density matrix' in gauge theory. We argue that it systematically resums large logarithms originating from wide-angle soft radiation, sometimes referred to as non-global logarithms, to all logarithmic orders. We…

High Energy Physics - Phenomenology · Physics 2018-03-06 Simon Caron-Huot

In this work, we complete the calculation of the soft part of the two-loop integrated jet thrust distribution in e+e- annihilation. This jet mass observable is based on the thrust cone jet algorithm, which involves a veto scale for…

High Energy Physics - Phenomenology · Physics 2015-06-17 Andreas von Manteuffel , Robert M. Schabinger , Hua Xing Zhu

Exploiting the substructure of jets observed at the LHC to better understand and interpret the experimental data has recently been a very active area of research. In this thesis we study the substructure of high-p$_T$ QCD jets, which form a…

High Energy Physics - Phenomenology · Physics 2021-11-23 Kamel Khelifa-Kerfa

Clustering logs have been the subject of much study in recent literature. They are a class of large logs which arise for non-global jet-shape observables where final-state particles are clustered by a non-cone--like jet algorithm. Their…

High Energy Physics - Phenomenology · Physics 2015-06-05 Yazid Delenda , Kamel Khelifa-Kerfa

Many collider observables suffer from non-global logarithms not captured by standard resummation techniques. Classic examples are the light-jet mass event shape in the limit of small mass and the related hemisphere soft function. We derive…

High Energy Physics - Phenomenology · Physics 2016-12-21 Thomas Becher , Benjamin D. Pecjak , Ding Yu Shao
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