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I review my explanation of the irreversibility of the renormalization-group flow in even dimensions greater than two and address new investigations and tests.

High Energy Physics - Theory · Physics 2007-05-23 Damiano Anselmi

The renormalized mass of the bottom quark is calculated at the two loop level to order ${\cal O}(\alpha_s G_F M_t^2)$ in the $\msbar$ renormalization scheme. Different strategies for the computation are outlined. The result is applied to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Axel Kwiatkowski , Matthias Steinhauser

New relations between Bjorken polarized, Gross-Llewellyn Smith and Bjorken unpolarized sum rules are proposed. They are based on the ``universality'' of the perturbative and non-perturbative $\rm{1/Q^2}$ contributions to these sum rules.…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. L. Kataev

A comparison of spectra obtained using the 1-loop MSSM and 2-loop R-parity violating MSSM renormalization group equations is presented. Influence of higher loop corrections and R-parity violating terms is discussed. Some numerical…

High Energy Physics - Phenomenology · Physics 2009-11-10 Marek Gozdz , Wieslaw A. Kaminski

We give a brief review of the current understanding of renormalons of the static QCD potential in coordinate and momentum spaces. We also reconsider estimate of the normalization constant of the $u=3/2$ renormalon and propose a new way to…

High Energy Physics - Phenomenology · Physics 2021-09-01 Hiromasa Takaura

Accurate determinations of the MS-bar b-quark mass $m_b(m_b)$ from $\sigma(e^+e^-\to{\rm hadrons})$ experimental data currently contain three comparable sources of uncertainty; the experimental uncertainty from moments of this…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. R. Ahmady , V. Elias , A. Squires , T. G. Steele , Ailin Zhang

In [1] we highlighted the fact that the log polynomial expansion employed in Nature Astron. 3, no.3, 272-277 (2019) [2] is a poor approximation to flat $\Lambda$CDM, so using it to infer deviations from flat $\Lambda$CDM is not…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-01 Aritra Banerjee , Eoin Ó Colgáin , Misao Sasaki , M. M. Sheikh-Jabbari

Recently evidence has been found that the perturbative QCD potential agrees well with phenomenological potentials and lattice computations of the QCD potential. We review the present status of the perturbative QCD potential and theoretical…

High Energy Physics - Phenomenology · Physics 2017-08-23 Y. Sumino

In the article "On chiral symmetry restoration at finite density in large-$N_c$ QCD" by Adhikari, Cohen, Ayyagari and Strother [Phys. Rev. C 83, 065201 (2011)] the description of dense nuclear matter by means of Skyrmions in hyperspherical…

Nuclear Theory · Physics 2015-06-22 Hilmar Forkel

A QCD Laplace sum rule framework is employed to investigate the relationship between the mass and the decay width of the sigma, the lowest-lying isoscalar resonance in the spin-zero meson channel. Our analysis differs from prior analyses,…

High Energy Physics - Phenomenology · Physics 2008-02-03 V. Elias , A. H. Fariborz , Fang Shi , T. G. Steele

We discuss the renormalon-based approach to power corrections in non-singlet deep inelastic scattering structure functions and compare it with the general operator product expansion. The renormalon technique and its variations relate the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Akhoury , V. I. Zakharov

We evaluate the impact of radiative corrections in the ratios $\Gamma[B\to M \mu^+\mu^-]/\Gamma[B\to M e^+e^-]$ when the meson $M$ is a $K$ or a $K^*$. Employing the cuts on $m^2_{\ell\ell}$ and the reconstructed $B$-meson mass presently…

High Energy Physics - Phenomenology · Physics 2017-05-08 Marzia Bordone , Gino Isidori , Andrea Pattori

The W Mass and QCD Working Group discussed a wide variety of topics relating to present and future measurements of M(W) at LEP2, including QCD backgrounds to W+W- production. Particular attention was focused on experimental issues…

We present improved estimates of the couplings, masses and mass ratios of the Z_Q,X_Q and T_{QQqq} states using QCD Laplace sum rules (LSR), their ratios R and double ratios DRSR within stability criteria, where the NLO factorized PT QCD…

High Energy Physics - Phenomenology · Physics 2023-08-08 R. Albuquerque , S. Narison , D. Rabetiarivony

I discuss aspects of the QCD sum rule method which attracted theorists' attention in earnest at a relatively late stage and are not yet fully solved. At first I briefly review such general topics as the structure of the operator product…

High Energy Physics - Phenomenology · Physics 2015-03-17 M. Shifman

This note fills a gap in the article with title above [1]. We provide the proof of Equation (82) of Lemma 5 in [1] and thereby complete its power counting analysis with a more precise next-to-leading-order estimate.

High Energy Physics - Theory · Physics 2017-12-21 Joseph Ben Geloun , Vincent Rivasseau

We extract (for the first time) the correlated values of the running masses m_c and m_b from M_Bc using QCD Laplace sum rules (LSR) within stability criteria where pertubative (PT) expressions at N2LO and non-perturbative (NP) gluon…

High Energy Physics - Phenomenology · Physics 2023-08-08 Stephan Narison

We derive QCD sum rules for heavy baryons at leading order in $1/m_Q$ and at next-to-leading order in $\alpha_s$. The calculation involves the evaluation of four different perturbative three-loop diagrams which determine the…

High Energy Physics - Phenomenology · Physics 2016-08-24 S. Groote , J. G. Körner , O. I. Yakovlev

Reaching a theoretical accuracy in the prediction of the lightest MSSM Higgs-boson mass, M_h, at the level of the current experimental precision requires the inclusion of momentum-dependent contributions at the two-loop level. Recently two…

High Energy Physics - Phenomenology · Physics 2015-09-30 S. Borowka , T. Hahn , S. Heinemeyer , G. Heinrich , W. Hollik

A new technique based on H\"older's integral inequality is applied to QCD sum-rules to provide fundamental constraints on the sum-rule parameters. These constraints must be satisfied if the sum-rules are to consistently describe integrated…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Benmerrouche , G. Orlandini , T. G. Steele