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The Compton amplitude subtraction function is an essential component in work concerning both the proton radius puzzle and the proton-neutron mass difference. However, owing to the difficulty in determining the subtraction function, it…

高能物理 - 格点 · 物理学 2025-05-22 K. U. Can , A. Hannaford-Gunn , R. Horsley , P. E. L. Rakow , T. Schar , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

We examine the QCD perturbation series at large orders, for different values of the 'large $\beta_0$ renormalization scale'. It is found that if we let this scale grow exponentially with the order, the divergent series can be turned into an…

高能物理 - 唯象学 · 物理学 2009-11-10 K. Van Acoleyen , H. Verschelde

We study the large-order asymptotic behavior of the perturbation series for short-distance coefficients in the NRQCD factorization formulas for the decays J/psi --> e^+e^- and eta_c --> gamma gamma. The short-distance coefficients of the…

高能物理 - 唯象学 · 物理学 2014-11-17 Eric Braaten , Yu-Qi Chen

We extend the Rome-Southampton regularization independent momentum-subtraction renormalization scheme(RI/MOM) for bilinear operators to one with a nonexceptional, symmetric subtraction point. Two-point Green's functions with the insertion…

高能物理 - 唯象学 · 物理学 2010-05-12 C. Sturm , Y. Aoki , N. H. Christ , T. Izubuchi , C. T. C. Sachrajda , A. Soni

A new method of divergence subtraction in Feynman parametric integrals is presented. The method is suitable for calculating the lepton anomalous magnetic moments (AMM) in quantum electrodynamics (QED). The subtraction procedure eliminates…

高能物理 - 唯象学 · 物理学 2022-09-07 Sergey Volkov

We consider a gauge-invariant, mass-independent prescription for renormalizing composite operators, regularized on the lattice, in the spirit of the coordinate space (X-space) renormalization scheme. The prescription involves only Green's…

高能物理 - 格点 · 物理学 2021-05-19 M. Costa , I. Karpasitis , G. Panagopoulos , H. Panagopoulos , T. Pafitis , A. Skouroupathis , G. Spanoudes

We define a family of Schroedinger Functional renormalization schemes for the four-quark multiplicatively renormalizable operators of the $\Delta F = 1$ and $\Delta F = 2$ effective weak Hamiltonians. Using the lattice regularization with…

高能物理 - 格点 · 物理学 2015-06-25 M. Guagnelli , J. Heitger , C. Pena , S. Sint , A. Vladikas

The shift in focus towards searches for physics beyond the Standard Model (SM) employing model-independent Effective Field Theory (EFT) methods necessitates a rigorous approach to matching to guarantee the validity of the obtained results…

高能物理 - 唯象学 · 物理学 2023-03-29 Upalaparna Banerjee , Joydeep Chakrabortty , Christoph Englert , Shakeel Ur Rahaman , Michael Spannowsky

We perform an all-orders resummation of the QCD Adler D-function for the vector correlator, in which the portion of perturbative coefficients involving the leading power of b, the first beta-function coefficient, is resummed. To avoid a…

高能物理 - 唯象学 · 物理学 2009-11-07 C. J. Maxwell , A. Mirjalili

The paper is devoted to the development of the octonion Fourier transform (OFT) theory initiated in 2011 in articles by Hahn and Snopek. It is also a continuation and generalization of earlier work by Blaszczyk and Snopek, where they proved…

经典分析与常微分方程 · 数学 2019-12-23 Łukasz Błaszczyk

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…

高能物理 - 唯象学 · 物理学 2009-11-07 Taekoon Lee

Apparently convergent contributions of resummed perturbative series at the next-to-leading order of the 1/N expansion in the O(N) model are reanalyzed in terms of renormalizability. Compared to our earlier article [G. Fejos et al., Phys.…

高能物理 - 唯象学 · 物理学 2015-06-19 G. Fejos , A. Patkos , Zs. Szep

Dimensionality reduction in mechanical vibratory systems poses challenges for distributed structures including geometric nonlinearities, mainly because of the lack of invariance of the linear subspaces. A reduction method based on direct…

数值分析 · 数学 2022-05-26 Andrea Opreni , Alessandra Vizzaccaro , Attilio Frangi , Cyril Touzé

We discuss upon recent progress in our knowledge of the large order behavior in perturbation theory of the pole mass and the singlet static potential. We also discuss about the renormalon subtracted scheme, a matching scheme between QCD and…

高能物理 - 唯象学 · 物理学 2009-11-07 Antonio Pineda

Using methods of effective field theory, factorized expressions for arbitrary B -> X_u l nu decay distributions in the shape-function region of large hadronic energy and moderate hadronic invariant mass are derived. Large logarithms are…

高能物理 - 唯象学 · 物理学 2009-11-10 S. W. Bosch , B. O. Lange , M. Neubert , G. Paz

We develop a systematic renormalization procedure for QFT in anti-de Sitter spacetime. UV infinities are regulated using a geodesic point-splitting method, which respects AdS isometries, while IR infinities are regulated by cutting off the…

高能物理 - 理论 · 物理学 2023-02-08 Máximo Bañados , Ernesto Bianchi , Iván Muñoz , Kostas Skenderis

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…

高能物理 - 唯象学 · 物理学 2016-08-25 Geoffrey T. Bodwin , Yu-Qi Chen

We present results for higher order perturbative corrections to Compton scattering in the generalized Bjorken kinematics. The approach we have used is based on the combination of two techniques: conformal operator product expansion on the…

高能物理 - 唯象学 · 物理学 2009-10-31 A. V. Belitsky , A. Schaefer

A new version of the so-called optimized perturbation (OPT), implementing consistently renormalization group properties, is used to calculate the nonperturbative ratio $F_\pi/\overline\Lambda$ of the pion decay constant and the basic QCD…

高能物理 - 唯象学 · 物理学 2013-10-25 J-L. Kneur , A. Neveu

We introduce a new massive renormalization scheme, denoted mSMOM, as a modification of the existing RI/SMOM scheme. We use SMOM for defining renormalized fermion bilinears in QCD at non-vanishing fermion mass. This scheme has properties…

高能物理 - 格点 · 物理学 2016-08-30 Peter Boyle , Luigi Del Debbio , Ava Khamseh