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We present a calculation of the perturbative quark-to-quark transverse parton distribution function at next-to-next-to-leading order based on a gauge invariant operator definition. We demonstrate for the first time that such a definition…

High Energy Physics - Phenomenology · Physics 2013-05-30 Thomas Gehrmann , Thomas Lübbert , Li Lin Yang

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

We present the next-to-leading order perturbative QCD prediction to the four-jet angular distributions used by experimental collaborations at LEP for measuring the QCD color charge factors. We compare our results to ALEPH data corrected to…

High Energy Physics - Phenomenology · Physics 2016-08-25 Zoltan Nagy , Zoltan Trocsanyi

In this paper, asymptotic behavior of convolution of distributions belonging to two subclasses of distributions with exponential tails are considered, respectively. The precise second-order tail asymptotics of the convolutions are derived…

Probability · Mathematics 2015-05-22 Zuoxiang Peng , Xin Liao

We present the nuclear transverse momentum broadening for Drell-Yan lepton pair production in p+A collisions at next-to-leading order (NLO) in powers of strong coupling constant $\alpha_s$. We verify that the transverse momentum weighted…

High Energy Physics - Phenomenology · Physics 2016-11-02 Zhong-Bo Kang , Jian-Wei Qiu , Xin-Nian Wang , Hongxi Xing

Following a previous study of the one-loop factorization of the nonsinglet $g_2$ structure function of the nucleon, we present in this paper the next-to-leading order coefficient functions in the singlet sector. To obtain the result, the…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky , Xiangdong Ji , Wei Lu , Jonathan Osborne

We examine the QCD evolution of the helicity and transversity parton distribution functions when including also their dependence on transverse momentum. Using an appropriate definition of these polarized transverse momentum distributions…

High Energy Physics - Phenomenology · Physics 2015-06-15 Alessandro Bacchetta , Alexei Prokudin

We derive the analytic expression of the two one-loop dipole contributions to the elastic 4-gluon amplitude in QCD for arbitrary transverse momentum. The first one corresponds to the double QCD pomeron exchange, the other to an order…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Navelet , R. Peschanski

QCD evolution equations in minimal subtraction schemes have a hidden symmetry: One can construct three operators that commute with the evolution kernel and form an $SL(2)$ algebra, i.e. they satisfy (exactly) the $SL(2)$ commutation…

High Energy Physics - Phenomenology · Physics 2016-04-20 V. M. Braun , A. N. Manashov , S. Moch , M. Strohmaier

We assess and compare different methods for including leading threshold logarithms at next-to-leading-power in prompt photon production at hadron colliders, for both the direct and parton fragmentation mechanisms. We do this in addition to…

High Energy Physics - Phenomenology · Physics 2019-09-18 Melissa van Beekveld , Wim Beenakker , Rahul Basu , Eric Laenen , Anuradha Misra , Patrick Motylinski

We present a dynamical study of the double parton distribution in impact parameter space, which enters into the double scattering cross section in hadronic collisions. This distribution is analogous to the generalized parton densities in…

High Energy Physics - Phenomenology · Physics 2011-06-28 Christoffer Flensburg , Gösta Gustafson , Leif Lönnblad , Andras Ster

We apply the so-called conformal subtraction scheme to predict perturbatively exclusive processes beyond leading order. Taking into account evolution effects, we study the scheme dependence for the photon-to-pion transition form factor and…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Müller

Transverse momentum dependent parton distributions (TMDs) appear in many scattering processes at high energy, from the semi-inclusive DIS experiments at a few GeV to the Higgs transverse momentum distribution at the LHC. Predictions for TMD…

High Energy Physics - Phenomenology · Physics 2016-03-23 Daniel Boer

We present the next-to-next-to-leading order (NNLO) calculation of quark quasi parton distribution functions (PDFs) in the large momentum effective theory. The nontrivial factorization at this order is established explicitly and the full…

High Energy Physics - Phenomenology · Physics 2021-02-24 Long-Bin Chen , Wei Wang , Ruilin Zhu

We present the next-to-next-to-next-to-leading order (N^3LO) contributions to the non-singlet splitting functions for both parton distribution and fragmentation functions in perturbative QCD. The exact expressions are derived for the terms…

High Energy Physics - Phenomenology · Physics 2017-10-25 S. Moch , B. Ruijl , T. Ueda , J. A. M. Vermaseren , A. Vogt

The production of pairs of hadrons in hadronic collisions is studied using a next-to-leading-order Monte Carlo program based on the phase space slicing technique. Up-to-date fragmentation functions based on fits to LEP data are employed,…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. F. Owens

We argue that the perturbative QCD correlations contribute dominantly to the double parton distributions as compared to the nonperturbative ones in the limit of sufficiently large hard scales and for not parametrically small longitudinal…

High Energy Physics - Phenomenology · Physics 2014-07-16 A. M. Snigirev , N. A. Snigireva , G. M. Zinovjev

We use continuum simulations to study the impact of friction on the ordering of defects in an active nematic. Even in a frictionless system, +1/2 defects tend to align side-by-side and orient antiparallel reflecting their propensity to…

Soft Condensed Matter · Physics 2020-11-25 Kristian Thijssen , Mehrana R. Nejad , Julia M. Yeomans

For a long time, the predictive limits of perturbative quantum field theory have been limited by our inability to carry out loop calculations to arbitrarily high order, which become increasingly complex as the order of perturbation theory…

High Energy Physics - Theory · Physics 2020-07-01 L. T. Giorgini , U. D. Jentschura , E. M. Malatesta , G. Parisi , T. Rizzo , J. Zinn-Justin

We report results of a new global next-to-leading order fit of parton distribution functions in which cuts on W and Q are relaxed, thereby including more data at high values of x. Effects of target mass corrections (TMCs), higher twist…

High Energy Physics - Phenomenology · Physics 2010-05-28 A. Accardi , M. E. Christy , C. E. Keppel , W. Melnitchouk , P. Monaghan , J. G. Morfin , J. F. Owens