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Energy correlators provide a powerful observable to study fragmentation dynamics in QCD. We demonstrate that the leading nonperturbative corrections for projected $N$-point energy correlators are described by the same universal parameter…

High Energy Physics - Phenomenology · Physics 2024-12-12 Kyle Lee , Aditya Pathak , Iain Stewart , Zhiquan Sun

We show that the resummation of large perturbative corrections in QCD leads to ambiguities in high energy cross sections that are suppressed by powers of large momentum scales. These ambiguities are caused by infrared renormalons, which are…

High Energy Physics - Phenomenology · Physics 2014-11-17 G. P. Korchemsky , G. Sterman

We present the results of a calculation of the perturbative QCD corrections for the semileptonic inclusive width of a heavy flavored meson. Within the Heavy Quark Expansion we analytically compute the QCD correction to the coefficient of…

High Energy Physics - Phenomenology · Physics 2015-03-30 Thomas Mannel , Alexei A. Pivovarov , Denis Rosenthal

We calculate the leading perturbative and power corrections to the hadronic invariant mass and energy spectra in semileptonic heavy hadron decays. We apply our results to the $B$ system. Moments of the invariant mass spectrum, which vanish…

High Energy Physics - Phenomenology · Physics 2014-11-17 Adam F. Falk , Michael Luke , Martin J. Savage

We introduce and motivate the method of effective charges, and consider how to implement an all-orders resummation of large kinematical logarithms in this formalism. Fits for QCD \Lambda and power corrections are performed for the e+e-…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. J. Maxwell

QCD-based analysis of nonfactorizable parts of weak nonleptonic amplitudes is reported. Nonperturbative effects due to soft gluon exchange play a key role leading to the emergence of a dynamical rule of discarding $1/N_c$ corrections.

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Blok , M. Shifman

The largest contributions to the $n=2$ Lamb-shift, fine structure interval and $2s$ hyperfine structure of muonic hydrogen are calculated by exact numerical evaluations of the Dirac equation, rather than by a perturbation expansion in…

Atomic Physics · Physics 2013-05-30 Paul Indelicato

We present a QCD based interpretation of heavy quark fragmentation which utilizes the heavy quark mass expansion. By distinguishing between perturbative and non-perturbative QCD effects, we show how to reliably extract mass independent…

High Energy Physics - Phenomenology · Physics 2009-09-15 R. L. Jaffe , L. Randall

Nonperturbative corrections up to $m_b^{-2}$ to the heavy lepton energy distributions are investigated in the inclusive semileptonic weak decays of heavy flavors in QCD. In the case of $B$-meson decays, for $b \ra u\tau\bnu$ transitions…

High Energy Physics - Phenomenology · Physics 2009-10-22 L. Koyrakh

The short-distance behaviour of the hadronic light-by-light (HLbL) contribution to $(g-2)_{\mu}$ has recently been studied by means of an operator product expansion in a background electromagnetic field. The leading term in this expansion…

High Energy Physics - Phenomenology · Physics 2021-05-12 Johan Bijnens , Nils Hermansson-Truedsson , Laetitia Laub , Antonio Rodríguez-Sánchez

Hadronic tau decay precision data are analyzed with account of both perturbative and power corrections of high orders within QCD. It is found that contributions of high order power corrections are essential for extracting a numerical value…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. S. Gorbunov , A. A. Pivovarov

Even for short-distance dominated observables the QCD perturbation expansion is never complete. The divergence of the expansion through infrared renormalons provides formal evidence of this fact. In this article we review how this apparent…

High Energy Physics - Phenomenology · Physics 2016-11-23 M. Beneke , V. M. Braun

We study the perturbative QCD series for the hadronic width of the Z boson. We sum a class of large ``pi^2 terms'' and reorganize the series so as to minimize ``renormalon'' effects. We also consider the renormalization scheme-scale…

High Energy Physics - Phenomenology · Physics 2009-10-28 Levan Surguladze , Davison E. Soper

Infrared and collinear events shapes are suited to directly probe properties of hard QCD. They are traditionally used to measure the strong coupling and to test the gauge structure of QCD. Perturbative predictions exist in several…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Wicke

The wave function of a light pseudoscalar meson is considered and nonperturbative corrections as signaled by perturbation theory are calculated. Two schemes are used, the massive gluon and the running coupling scheme. Both indicate the…

High Energy Physics - Phenomenology · Physics 2016-08-25 R. Akhoury , A. Sinkovics , M. G. Sotiropoulos

We discuss the issue of interplay between perturbative and non-perturbative phenomena for power corrections to e+e- event shapes.

High Energy Physics - Phenomenology · Physics 2009-10-31 G. P. Salam , G. Zanderighi

Nonadiabatic corrections in molecules composed of a few atoms are considered. It is demonstrated that a systematic perturbative expansion around the adiabatic solution is possible, with the expansion parameter being the electron-nucleus…

Chemical Physics · Physics 2009-11-13 Krzysztof Pachucki , Jacek Komasa

We present a new semi-numerical method to compute leading hadronisation corrections to two-jet event shapes in $e^+e^-$ annihilation. The formalism we present utilises the dispersive approach, where the magnitude of power corrections is…

High Energy Physics - Phenomenology · Physics 2023-09-07 Andrea Banfi , Basem Kamal El-Menoufi , Ryan Wood

The leading nonperturbative effects to the fine and hyperfine splitting were calculated some time ago. Recently, they have been used in order to obtain realistic numerical results for the lower levels in bottomonium systems. We point out…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Pineda

Non-perturbative parameters to the order ${\cal O}({1 \over m_Q})$ in HQET expansion, $\bar{ \Lambda}$, $\lambda_1$ and $\lambda_2$, as well as the masses, $m_b$ and $m_c$, are estimated phenomenologically from $B$ and $D$ meson system…

High Energy Physics - Phenomenology · Physics 2011-01-27 Chao-shang Huang , C. S. Kim