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The constraint of a progressive decrease in residual renormalization scale dependence with increasing loop order is developed as a method for obtaining bounds on unknown higher-order perturbative corrections to renormalization-group…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. R. Ahmady , F. A. Chishtie , V. Elias , A. H. Fariborz , D. G. C. McKeon , T. N. Sherry , T. G. Steele

By employing the perturbative QCD (PQCD) factorization approach, we made a systematic investigation for the CP-averaged branching ratios and the CP-violating asymmetries of the thirteen $\bar{B}^0_s \to PP $ decays ( here $P=(\pi,K, \eta,…

High Energy Physics - Phenomenology · Physics 2019-09-04 Da-Cheng Yan , Xin Liu , Zhen-Jun Xiao

We present a new approach to determining the strong coupling $\alpha_s(Q)$, over the entire range of validity of perturbative QCD, for scales above $\Lambda_{\mathrm{QCD}}$ and up to the Planck scale $\sim1.22\cdot10^{19}$\,GeV, with the…

High Energy Physics - Phenomenology · Physics 2025-09-16 Leonardo Di Giustino , Stanley J. Brodsky , Philip G. Ratcliffe , Sheng-Quan Wang , Xing-Gang Wu

In this paper we present a next-to-next-to-leading order (NNLO) calculation of the process $pp\rightarrow \gamma\gamma$ that we have implemented into the parton level Monte Carlo code MCFM. We do not find agreement with the previous…

High Energy Physics - Phenomenology · Physics 2021-09-15 John M. Campbell , R. Keith Ellis , Ye Li , Ciaran Williams

The next-to-leading order (NLO) corrections to the BFKL equation in the BLM optimal scale setting are briefly discussed. A striking feature of the BLM approach is rather weak Q^2-dependence of the Pomeron intercept, which might indicate an…

High Energy Physics - Phenomenology · Physics 2007-05-23 Victor T. Kim , Lev N. Lipatov , Grigorii B. Pivovarov

We study the triply heavy baryons $\Omega_{QQQ}$ $(Q=c, b)$ in the QCD sum rules by performing the first calculation of the next-to-leading order (NLO) contribution to the perturbative QCD part of the correlation functions. Compared with…

High Energy Physics - Phenomenology · Physics 2021-08-11 Ren-Hua Wu , Yu-Sheng Zuo , Ce Meng , Yan-Qing Ma , Kuang-Ta Chao

We briefly summarize the current status of perturbative calculations at next-to-next-to-leading-order (NNLO) accuracy in the \bar{B}\to X_s\gamma decay rate as well as that of non-perturbative power-corrections.

High Energy Physics - Phenomenology · Physics 2010-11-02 Thorsten Ewerth

In this work, we explicate a new approach for eliminating renormalization scale and scheme (RSS) dependence in observables. We develop this approach by matching RSS dependent observables (such as cross-sections and decay rates) to a theory…

High Energy Physics - Phenomenology · Physics 2022-02-01 Farrukh A. Chishtie

We extend the theoretical prediction for the width difference $\Delta \Gamma_q$ in the mixing of neutral $B$ mesons in the Standard Model to next-to-next-to-leading order in $\alpha_s$. To this aim we calculate three-loop diagrams with two…

High Energy Physics - Phenomenology · Physics 2022-09-14 Marvin Gerlach , Ulrich Nierste , Vladyslav Shtabovenko , Matthias Steinhauser

It is shown that the next-to-leading order (NLO) corrections to the QCD Pomeron intercept obtained from the BFKL equation, when evaluated in non-Abelian physical renormalization schemes with BLM optimal scale setting do not exhibit the…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky , Victor S. Fadin , Victor T. Kim , Lev N. Lipatov , Grigorii B. Pivovarov

We report on a detailed investigation of the next-to-leading order (NLO) QCD corrections to $W\gamma$+jet production at the Tevatron and the LHC using a fully-flexible parton-level Monte Carlo program. We include the full leptonic decay of…

High Energy Physics - Phenomenology · Physics 2011-04-22 Francisco Campanario , Christoph Englert , Michael Spannowsky

We present the results of a search for relations between observables that are independent of the Chiral Pertubation Theory (ChPT) Next-to-Next-to-Leading Order (NNLO) Low-Energy Constants (LECs). We have found some relations between…

High Energy Physics - Phenomenology · Physics 2009-04-24 Johan Bijnens , Ilaria Jemos

We compute the next-to-next-to-leading order (NNLO) QCD corrections to the thrust distribution in electron-positron annihilation. The corrections turn out to be sizable, enhancing the previously known next-to-leading order prediction by…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gehrmann-De Ridder , T. Gehrmann , E. W. N. Glover , G. Heinrich

The renormalized next-to-leading-order (NLO) chiral low-energy constant, $L_{10}^r$, is determined in a complete next-to-next-to-leading-order (NNLO) analysis, using a combination of lattice and continuum data for the flavor $ud$ $V-A$…

High Energy Physics - Phenomenology · Physics 2014-06-11 P. A. Boyle , L. Del Debbio , N. Garron , R. J. Hudspith , E. Kerrane , K. Maltman , J. M. Zanotti

We briefly describe a new general algorithm for carrying out QCD calculations to next-to-leading order in perturbation theory. The algorithm can be used for computing arbitrary jet cross sections in arbitrary processes and can be…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Catani , Michael H. Seymour

In the present article we analyze Non-Perturbative Renormalization Group flow equations in the order phase of $\mathbb{Z}_2$ and $O(N)$ invariant scalar models in the derivative expansion approximation scheme. We first address the behavior…

Statistical Mechanics · Physics 2016-11-02 Marcela Peláez , Nicolás Wschebor

Compton scattering is a fundamental process in QED with broad applications, yet its theoretical description at high energies is challenged by substantial next-to-leading order (NLO) corrections arising from double-logarithmic enhancements.…

High Energy Physics - Phenomenology · Physics 2025-11-13 Hai Tao Li , Yan-Qing Ma , Cheng-Tai Tan , Jian Wang , Hong-Fei Zhang

The recent determination of the $\beta$--function of the QCD running coupling $\alpha_{\overline{MS}}(Q^2)$ to 5-loops{\color{blue},} provides a verification of the convergence of a novel method for determining the fundamental QCD parameter…

High Energy Physics - Phenomenology · Physics 2017-09-11 A. Deur , S. J. Brodsky , G. F. de Teramond

We compute the next-to-next-to-leading order (NNLO) QCD corrections to b \to c l \bar \nu_l decay rate at a fully differential level. Arbitrary cuts on kinematic variables of the decay products can be imposed. Our computation can be used to…

High Energy Physics - Phenomenology · Physics 2014-11-18 Kirill Melnikov

We develop new perturbative tools to accurately study radiatively-induced first-order phase transitions. Previous perturbative methods have suffered internal inconsistencies and been unsuccessful in reproducing lattice data, which is often…

High Energy Physics - Phenomenology · Physics 2024-06-12 Andreas Ekstedt , Oliver Gould , Johan Löfgren