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A factorization formalism for jet processes involving massive colored particles such as the top quark is developed, extending earlier results for the massless case. The factorization of soft emissions from the underlying hard process is…

High Energy Physics - Phenomenology · Physics 2020-06-02 Marcel Balsiger , Thomas Becher , Andrea Ferroglia

We extend the class of factorization theorems for non-global observables from fixed angular constraints to cross sections defined in terms of sequential jet clustering. The associated hard and soft functions depend not only on the…

High Energy Physics - Phenomenology · Physics 2023-10-02 Thomas Becher , Jürg Haag

The $N$-jettiness subtraction has proven to be an efficient method to perform differential QCD next-to-next-to-leading order (NNLO) calculations in the last few years. One important ingredient of this method is the NNLO soft function. We…

High Energy Physics - Phenomenology · Physics 2017-02-03 Hai Tao Li , Jian Wang

We extend the threshold resummation exponents G^N in Mellin-N space to the fourth logarithmic (N^3LL) order collecting the terms alpha_s^2 (alpha_s ln N)^n to all orders in the strong coupling constant as. Comparing the results to our…

High Energy Physics - Phenomenology · Physics 2010-04-05 S. Moch , J. A. M. Vermaseren , A. Vogt

The energy dependence of the total hadroproduction cross section of pseudo-scalar quarkonia is computed via matching Next-to-Leading Order (NLO) Collinear-Factorisation (CF) results with resummed higher-order corrections, proportional to…

High Energy Physics - Phenomenology · Physics 2022-06-28 Jean-Philippe Lansberg , Maxim Nefedov , Melih A. Ozcelik

Jet calculus offers a unique mathematical technique to bridge the area of QCD resummation with Monte Carlo parton showers. With the ultimate goal of constructing next-to-next-to-leading logarithmic (NNLL) parton showers we study, using the…

High Energy Physics - Phenomenology · Physics 2024-04-24 Melissa van Beekveld , Mrinal Dasgupta , Basem Kamal El-Menoufi , Jack Helliwell , Pier Francesco Monni

We calculate the soft function for the global event variable 1-jettiness at next-to-next-to-leading order (NNLO) in QCD. We focus specifically on the non-Abelian contribution, which, unlike the Abelian part, is not determined by the…

High Energy Physics - Phenomenology · Physics 2018-04-18 John M. Campbell , R. Keith Ellis , Roberto Mondini , Ciaran Williams

Recently the two-loop next-to-leading logarithmic (NLL) virtual corrections to arbitrary processes with massless external fermions have been calculated. Within the spontaneously broken electroweak theory the one- and two-loop mass…

High Energy Physics - Phenomenology · Physics 2009-02-16 Bernd Jantzen

I present results for top quark production in hadronic collisions at LHC and Tevatron energies. The soft-gluon corrections to the differential cross section are resummed at next-to-next-to-leading-logarithm (NNLL) accuracy via the two-loop…

High Energy Physics - Phenomenology · Physics 2011-02-02 Nikolaos Kidonakis

An outstanding problem in QCD and jet physics is the factorization and resummation of logarithms that arise due to phase space constraints, so-called non-global logarithms (NGLs). In this paper, we show that NGLs can be factorized and…

High Energy Physics - Phenomenology · Physics 2015-10-28 Andrew J. Larkoski , Ian Moult , Duff Neill

In this talk we examine how one-loop soft and collinear splitting functions occur in the calculation of next-to-next-to-leading order (NNLO) corrections to production rates, and we present the one-loop gluon soft and splitting functions,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zvi Bern , Vittorio Del Duca , William B. Kilgore , Carl R. Schmidt

We investigate the factorization properties of the massive fermion form factor in QED, to next-to-leading power in the fermion mass, and up to two-loop order. For this purpose we define new jet functions that have multiple connections to…

High Energy Physics - Phenomenology · Physics 2025-03-17 Robin van Bijleveld , Eric Laenen , Coenraad Marinissen , Leonardo Vernazza , Guoxing Wang

We compute the N-jettiness soft function in hadronic collisions to next-to-next-to-leading order (NNLO) in the strong-coupling expansion. Our calculation is based on an extension of the SoftSERVE framework to soft functions that involve an…

High Energy Physics - Phenomenology · Physics 2024-08-08 Guido Bell , Bahman Dehnadi , Tobias Mohrmann , Rudi Rahn

We derive a factorization formula for the production of pairs of heavy coloured particles in hadronic collisions near the production threshold that establishes factorization of soft and Coulomb effects. This forms the basis for a combined…

High Energy Physics - Phenomenology · Physics 2011-03-22 Martin Beneke , Pietro Falgari , Christian Schwinn

It has been known for many years that jet cross sections at hadron colliders exhibit double-logarithmic corrections starting at four-loop order, arising from two soft Glauber-gluon interactions between the two colliding partons. The…

High Energy Physics - Phenomenology · Physics 2023-10-17 Philipp Böer , Matthias Neubert , Michel Stillger

We investigate the double logarithmic corrections $\alpha_s\ln^2 x$, x being a parton momentum fraction, in two-body nonleptonic B meson decays in collinear factorization theorem of perturbative QCD (PQCD). It is found that these…

High Energy Physics - Phenomenology · Physics 2010-04-05 Hsiang-nan Li , Kazumasa Ukai

We show that when the factorized cross section for heavy quarkonium production includes next-to-leading power (NLP) contributions associated with the production of the heavy quark pair at short distances, it naturally reproduces all high…

High Energy Physics - Phenomenology · Physics 2014-10-14 Yan-Qing Ma , Jian-Wei Qiu , George Sterman , Hong Zhang

We present the calculation of next-to-next-to-leading-order (NNLO) QCD corrections to hadron multiplicities in light-quark jets at lepton colliders, employing the ``projection-to-Born" (P2B) method implemented in the FMNLO program. Taking…

High Energy Physics - Phenomenology · Physics 2025-10-29 Bin Zhou , Jun Gao

We compute the two-loop heavy quark jet-function in the heavy quark limit. This is one of the key ingredients in next-to-next-to-leading order (NNLO) and next-to-next-to-leading-log order (NNLL) computations of the invariant mass…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ambar Jain , Ignazio Scimemi , Iain W. Stewart

We investigate the next-to-next-to-leading order (NNLO) QCD radiative corrections to the pion electromagnetic form factor with large momentum transfer. We explicitly verify the validity of the collinear factorization to two-loop order for…

High Energy Physics - Phenomenology · Physics 2024-08-01 Long-Bin Chen , Wen Chen , Feng Feng , Yu Jia