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We analyze the renormalon ambiguities that appear in factorization formulas in QCD. Our analysis contains a simple argument that the ambiguities in the short-distance coefficients and operator matrix elements are artifacts of…

High Energy Physics - Phenomenology · Physics 2016-08-25 Geoffrey T. Bodwin , Yu-Qi Chen

Exact large-$N_{f}$ results for the QCD Adler $D$-function and Deep Inelastic Scattering sum rules are used to resum to all orders the portion of QCD perturbative coefficients containing the highest power of…

High Energy Physics - Phenomenology · Physics 2011-05-05 C. N. Lovett-Turner , C. J. Maxwell

In a typical exclusive quarkonium production process, when the center-of-mass energy, $\sqrt{s}$, is much greater than the heavy quark mass $m$, large kinematic logarithms of $s/m^2$ will unavoidably arise at each order of perturbative…

High Energy Physics - Phenomenology · Physics 2009-03-15 Yu Jia , Deshan Yang

The single renormalon-chain contribution to the correlator of scalar currents in QCD is calculated in the $\bar{MS}$-scheme in the limit of a large $N_f$. We find that in the factorial growth of the coefficients due to renormalons takes…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. J. Broadhurst , A. L. Kataev , C. J. Maxwell

In the framework of a newly developed factorization formalism which is based on NRQCD, explicit cancellations are shown for the infrared divergences that appeared in the previously calculated hadronic annihilation decay rates of P-wave and…

High Energy Physics - Phenomenology · Physics 2016-09-01 Han-Wen Huang , Kuang-Ta Chao

Perturbation series in QCD are generally asymptotic and suffer from so-called infrared renormalon ambiguities. In the context of the standard operator product expansion in MS-bar these ambiguities are compensated by matrix elements of…

High Energy Physics - Phenomenology · Physics 2009-05-21 Andre H. Hoang , Ambar Jain , Ignazio Scimemi , Iain W. Stewart

We compute the O(alpha_s^2) correction to the decay rate eta_c --> gamma gamma and discuss its implications for precision quarkonium physics. We study the suitability of the ratio Gamma(J/psi --> e+e-)/Gamma(eta_c --> gamma gamma), in which…

High Energy Physics - Phenomenology · Physics 2009-11-07 Andrzej Czarnecki , Kirill Melnikov

We present a new computation of S-wave color-singlet nonrelativistic QCD matrix elements for the J/psi and the eta_c. We compute the matrix elements of leading order in the heavy-quark velocity v and the matrix elements of relative order…

High Energy Physics - Phenomenology · Physics 2008-11-26 Geoffrey T. Bodwin , Hee Sok Chung , Daekyoung Kang , Jungil Lee , Chaehyun Yu

We propose a renormalon-inspired resummation of QCD perturbation theory based on approximating the renormalization scheme (RS) invariant effective charge beta-function coefficients by the portion containing the highest power of…

High Energy Physics - Phenomenology · Physics 2009-10-28 C. J. Maxwell , D. G. Tonge

Hadronic annihilation rate of $1^{+-}$ heavy quarkonium is given to next-to-leading order in $\alpha_s$ and leading order in $v^2$ using a recently developed factorization formalism which is based on NRQCD. The result includes both the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Han-Wen Huang , Kuang-Ta Chao

We compute the next-to-next-to-leading order (NNLO) QCD corrections to the hadronic decay rates of the pseudoscalar quarkonia, at the lowest order in velocity expansion. The validity of NRQCD factorization for inclusive quarkonium decay…

High Energy Physics - Phenomenology · Physics 2017-12-27 Feng Feng , Yu Jia , Wen-Long Sang

Precise extractions of $\alpha_s$ from $\tau\to {\rm (hadrons)}+\nu_\tau$ and from $e^+e^-\to {\rm (hadrons)}$ below the charm threshold rely on finite energy sum rules (FESRs) where the experimental side is given by integrated spectral…

High Energy Physics - Phenomenology · Physics 2020-04-15 D. Boito , F. Oliani

Recently, we have developed a formalism to evaluate QCD loop diagrams with a single virtual gluon using a running coupling constant at the vertices. This corresponds to an all-order resummation of certain terms (the so-called renormalon…

High Energy Physics - Phenomenology · Physics 2008-02-03 Matthias Neubert

Based on the nonrelativistic QCD factorization theorem, we resum QCD corrections to the inclusive decay rate of $\eta_c$ and $\eta_b$ in the large-$n_f$ limit using bubble chain resummation. By employing dimensional regularization, we show…

High Energy Physics - Phenomenology · Physics 2018-12-24 Nora Brambilla , Hee Sok Chung , Javad Komijani

For the heavy quarkonium system we examine ${\cal O}(\Lambda_{\rm QCD}^2/m)$ renormalons, which are expected to be included in the perturbative series of the pole mass and $1/(mr^2)$ interquark potential. We find indications of existence…

High Energy Physics - Phenomenology · Physics 2024-02-07 Takuya Agemura , Yukinari Sumino

We present a complete calculation of the Leading Order QCD corrections to the quark level decay amplitude for b -> s gamma gamma and study their relevance for both the inclusive branching ratio BR(B -> X_s gamma gamma) and for the exclusive…

High Energy Physics - Phenomenology · Physics 2014-11-17 Laura Reina , Giulia Ricciardi , Amarjit Soni

We present a Borel resummation method for the QCD corrections in inclusive, charmless, semileptonic B meson decay. The renormalon contributions are resummed to all orders by employing a bilocal expansion of the Borel transform that…

High Energy Physics - Phenomenology · Physics 2009-11-07 Taekoon Lee

Using the renormalon calculus, we study the asymptotic behavior of the perturbative expansion of the hard-scattering kernels entering the QCD factorization formula for the nonleptonic weak decays B->D M, where M is a light meson. In the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Thomas Becher , Matthias Neubert , Ben D. Pecjak

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 discuss the contribution of ultraviolet (UV) renormalons in QCD to two-point functions of quark current operators. This explicitly includes effects due to the exchange of one renormalon chain as well as two chains. It is shown that, when…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Peris , E. de Rafael
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