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We study, by means of a topological approach, the forced oscillations of second order functional retarded differential equations subject to periodic perturbations. We consider a delay-type functional dependence involving a gamma probability…

Classical Analysis and ODEs · Mathematics 2022-05-30 Alessandro Calamai , Maria Patrizia Pera , Marco Spadini

In the framework of nonrelativistic QCD, we compute the leading double-logarithmic corrections of order alpha_s^3 ln^2(1/alpha_s) to the heavy-quark-antiquark bound-state wave function at the origin, which determines the production and…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. A. Kniehl , A. A. Penin

We investigate the role of heavy quarks in the production of light flavored hadrons and in the determination of the corresponding non perturbative hadronization probabilities. We define a general mass variable flavor number scheme for…

High Energy Physics - Phenomenology · Physics 2016-08-31 M. Epele , C. A. Garcia Canal , R. Sassot

The mass ordering of mean transverse momentum $\left<p_T\right>$ and of the Fourier harmonic coefficient $v_2 (p_T)$ of azimuthally anisotropic particle distributions in high energy hadron collisions is often interpreted as evidence for the…

High Energy Physics - Phenomenology · Physics 2016-10-19 Bjoern Schenke , Soeren Schlichting , Prithwish Tribedy , Raju Venugopalan

The total cross section for the production of massive quarks in electron positron annihilation can be predicted in perturbative QCD. After expansion in m^2/s the quartic terms, i.e. those proportional to m^4/s^2, are calculated up to order…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. G. Chetyrkin , R. V. Harlander , J. H. Kuehn

It is hoped that the accuracy of a variety of lattice calculations will be improved by perturbatively eliminating effects proportional to the lattice spacing. In this paper, we apply this improvement program to the heavy quark effective…

High Energy Physics - Phenomenology · Physics 2010-11-01 Oscar F. Hernandez , Brian R. Hill

We propose that the non-perturbative fragmentation functions describing the transition from a heavy quark to a heavy meson is proportional to the square of the produced meson wave function at the origin. We analyze the effects of this…

High Energy Physics - Phenomenology · Physics 2008-11-26 Fernando Cornet , Carlos A. Garcia Canal

The state of the art of the theoretical calculations for heavy quarks photoproduction is reviewed. The full fixed order next-to-leading order massive calculation and the resummation of large log(p_T/m) terms for differential cross sections…

High Energy Physics - Phenomenology · Physics 2007-05-23 Matteo Cacciari

We study the kinetics of nonlinear irreversible fragmentation. Here fragmentation is induced by interactions/collisions between pairs of particles, and modelled by general classes of interaction kernels, and for several types of breakage…

Statistical Mechanics · Physics 2007-05-23 M. H. Ernst , I. Pagonabarraga

We study the radiative decay B -> gamma l nu_l in the framework of QCD factorization. We demonstrate explicitly that, in the heavy-quark limit and at one-loop order in perturbation theory, the amplitude does factorize, i.e. that it can be…

High Energy Physics - Phenomenology · Physics 2009-10-09 S. Descotes-Genon , C. T. Sachrajda

Matching conditions are universal ingredients that describe how fragmentation functions change when heavy-flavour thresholds are crossed during the factorisation scale evolution. They are the last missing piece for a consistent description…

High Energy Physics - Phenomenology · Physics 2024-11-27 Christian Biello , Leonardo Bonino

Conventional perturbative QCD calculations on the production of a heavy quark ``$H$'' consist of two contrasting approaches: the usual QCD parton formalism uses the zero-mass approximation ($m_H=0$) once above threshold, and treats $H$ just…

High Energy Physics - Phenomenology · Physics 2009-10-30 Wu-Ki Tung

In the computation of short-distance cross sections initiated by electrons and photons one can adopt the so-called structure-function approach, in which these particles play formally the same roles as hadrons do in QCD factorisation…

High Energy Physics - Phenomenology · Physics 2020-01-08 Stefano Frixione

We carry out a comprehensive study of the quark-to-meson fragmentation function in the 't Hooft model, i.e., the two-dimensional Quantum Chromodynamics (QCD) in $N_c\to \infty$ limit, following the operator definition pioneered by Collins…

High Energy Physics - Phenomenology · Physics 2023-10-27 Yu Jia , Zhewen Mo , Xiaonu Xiong

Recently, the {\it Belle} and {\it BABAR} Collaborations published the single-inclusive electron-positron annihilation data at the center of mass energies ($\sqrt{s}$) of $10.52$ GeV and $10.54$ GeV, respectively. These new data offer one…

High Energy Physics - Phenomenology · Physics 2016-11-24 S. M. Moosavi Nejad , M. Soleymaninia , A. N. Khorramian

We analyze the properties of the ACOT scheme for heavy quark production and make use of the MS-Bar massless results at NNLO and N3LO for the structure functions F2 and FL in neutral current deep-inelastic scattering to estimate the higher…

High Energy Physics - Phenomenology · Physics 2012-06-12 T. Stavreva , F. I. Olness , I. Schienbein , T. Jezo , A. Kusina , K. Kovarik , J. Y. Yu

We give a general overview of the role and interpretation of fragmentation functions in hard processes. Transverse momentum dependence gives rise to time-reversal odd fragmentation functions contributing at leading order. Final state…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Bianconi , S. Boffi , R. Jakob , M. Radici

The heavy quark self-energy in nonrelativistic lattice QCD is calculated to $O(\alpha_s)$ in perturbation theory. An action which includes all spin-independent relativistic corrections to order $v^2$, where $v$ is the typical heavy quark…

High Energy Physics - Lattice · Physics 2010-11-01 Colin J. Morningstar

Heavy quark effective theory can be used to calculate the values of the semileptonic B^(*) -> D^(*) decays in the limit that the heavy quark masses are infinite. We calculate the lowest order chiral corrections, which are of O(1/M^2), from…

High Energy Physics - Lattice · Physics 2009-11-07 Daniel Arndt

The first complete calculation of the quadratic quark mass correction to the correlator of the two currents relevant for the strangeness-changing semihadronic tau-decay rate is presented including its real part at the four-loop level. This…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn