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The soft radiation emitted in jet cross sections can resolve the directions and colors of individual hard partons, leading to a complicated pattern of logarithmically enhanced terms in the perturbative series. Starting from a factorization…

High Energy Physics - Phenomenology · Physics 2022-09-07 Thomas Becher , Thomas Rauh , Xiaofeng Xu

We calculate the anomalous dimensions of the next-to-leading order dijet operators in soft-collinear effective theory (SCET). We use a formulation of SCET where the Lagrangian is multiple copies of QCD and the interactions between sectors…

High Energy Physics - Phenomenology · Physics 2014-12-10 Simon M. Freedman , Raymond Goerke

We investigate the regularization-scheme dependence of scattering amplitudes in massless QCD and find that the four-dimensional helicity scheme (FDH) and dimensional reduction (DRED) are consistent at least up to NNLO in the perturbative…

High Energy Physics - Phenomenology · Physics 2016-02-17 A. Broggio , Ch. Gnendiger , A. Signer , D. Stöckinger , A. Visconti

We make progress towards resummation of power-suppressed logarithms in dijet event shapes such as thrust, which have the potential to improve high-precision fits for the value of the strong coupling constant. Using a newly developed…

High Energy Physics - Phenomenology · Physics 2018-08-30 Raymond Goerke , Matthew Inglis-Whalen

We revisit the calculation of anomalies for global and gauge symmetries in the framework of the Covariant Derivative Expansion (CDE). Due to the presence of UV divergences, the result is an ambiguous quantity that depends on the…

High Energy Physics - Phenomenology · Physics 2023-07-05 Timothy Cohen , Xiaochuan Lu , Zhengkang Zhang

We demonstrate how to resum phase space logarithms in the Sterman-Weinberg (SW) dijet decay rate within the context of Soft Collinear Effective theory (SCET). An operator basis corresponding to two and three jet events is defined in SCET…

High Energy Physics - Phenomenology · Physics 2008-11-26 Michael Trott

In the framework of soft-collinear effective theory (SCET), we show how to formulate the resummation for a broad family of final-state, global observables in high-energy collisions in a general way that is suitable for a numerical…

High Energy Physics - Phenomenology · Physics 2020-05-20 Christian W. Bauer , Pier Francesco Monni

LHC measurements involve cuts on several observables, but resummed calculations are mostly restricted to single variables. We show how the resummation of a class of double-differential measurements can be achieved through an extension of…

High Energy Physics - Phenomenology · Physics 2015-06-23 Massimiliano Procura , Wouter J. Waalewijn , Lisa Zeune

We derive and analytically solve renormalization group (RG) equations of gauge invariant non-local Wilson line operators which resum logarithms for event shape observables $\tau$ at subleading power in the $\tau\ll 1$ expansion. These…

High Energy Physics - Phenomenology · Physics 2019-05-22 Ian Moult , Iain W. Stewart , Gherardo Vita , Hua Xing Zhu

The renormalization group equations (RGEs) in Standard Model effective theory are usually either solved analytically, neglecting the scale dependence of gauge and Yukawa couplings, or numerically without such approximations. We present…

High Energy Physics - Phenomenology · Physics 2018-08-01 Andrzej J. Buras , Martin Jung

Using rapidity evolution equations we study two-to-two gauge-theory scattering amplitudes in the Regge limit. We carry out explicit computations at next-to-next-to-leading logarithmic accuracy through four loops and present new results for…

High Energy Physics - Phenomenology · Physics 2022-03-30 Giulio Falcioni , Einan Gardi , Niamh Maher , Calum Milloy , Leonardo Vernazza

The high energy (Regge) limit provides a playground for understanding all loop structures of scattering amplitudes, and plays an important role in the description of many phenomenologically relevant cross-sections. While well understood in…

High Energy Physics - Phenomenology · Physics 2024-09-02 Anjie Gao , Ian Moult , Sanjay Raman , Gregory Ridgway , Iain W. Stewart

The soft anomalous dimension governs the infrared divergences of scattering amplitudes in general kinematics to all orders in perturbation theory. By comparing the recent Regge-limit results for $2\to2$ scattering (through…

High Energy Physics - Phenomenology · Physics 2022-02-07 Niamh Maher , Giulio Falcioni , Einan Gardi , Calum Milloy , Leonardo Vernazza

Based on the renormalization group summation method of McKeon ${\it et\; al.}$, it is shown that the renormalization group equation, while related to the radiatively mass scale $\mu$, would perform a summation over QCD perturbative terms.…

High Energy Physics - Phenomenology · Physics 2020-02-19 M. Akrami , A. Mirjalili

The hard-scattering contributions to heavy-to-light form factors at large recoil are studied systematically in soft-collinear effective theory (SCET). Large logarithms arising from multiple energy scales are resummed by matching QCD onto…

High Energy Physics - Phenomenology · Physics 2009-11-10 Richard J. Hill , Thomas Becher , Seung J. Lee , Matthias Neubert

The jet shape is a classic jet substructure observable that probes the average transverse energy profile inside a reconstructed jet. The studies of jet shapes in proton-proton collisions have served as precision tests of perturbative…

High Energy Physics - Phenomenology · Physics 2015-06-19 Yang-Ting Chien , Ivan Vitev

Nuclear effective field theory organizes the calculation of observables as a power series in terms of the ratio of soft and hard momentum scales. The rigorous implementation of this idea requires a mixture of perturbative and…

Nuclear Theory · Physics 2025-12-16 Manuel Pavon Valderrama

Using the framework of soft-collinear effective theory (SCET), we factorize and calculate $e^+e^-$ angularity distributions, including perturbative resummation and the incorporation of a universal model for the nonperturbative soft…

High Energy Physics - Phenomenology · Physics 2009-05-05 Christopher Lee , Andrew Hornig , Grigory Ovanesyan

The field theoretic renormalization group (RG) is applied to the problem of a passive scalar advected by the Gaussian self-similar velocity field with finite correlation time and in the presence of an imposed linear mean gradient. The…

chao-dyn · Physics 2009-10-31 N. V. Antonov

We propose the addition of a new "soft-collinear" mode to soft collinear effective theory (SCET) below the usual soft scale to factorize and resum logarithms of jet radii $R$ in jet cross sections. We consider exclusive 2-jet cross sections…

High Energy Physics - Phenomenology · Physics 2016-02-03 Yang-Ting Chien , Andrew Hornig , Christopher Lee
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