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We present a new procedure using on-shell recursion to determine coefficients of integral functions appearing in one-loop scattering amplitudes of gauge theories, including QCD. With this procedure, coefficients of integrals, including…

高能物理 - 唯象学 · 物理学 2009-11-11 Zvi Bern , N. E. J. Bjerrum-Bohr , David C. Dunbar , Harald Ita

We combine the known asymptotic behaviour of the QCD perturbation series expansion, which relates the pole mass of a heavy quark to the MSbar mass, with the exact series coefficients up to the four-loop order to determine the ultimate…

高能物理 - 唯象学 · 物理学 2017-11-22 M. Beneke , P. Marquard , P. Nason , M. Steinhauser

We present results of a lattice QCD application of a coordinate space renormalization scheme for the extraction of renormalization constants for flavour non-singlet bilinear quark operators. The method consists in the analysis of the…

高能物理 - 格点 · 物理学 2012-12-03 Krzysztof Cichy , Karl Jansen , Piotr Korcyl

A recent extension of a variationally optimized perturbation, combined with renormalization group properties in a straightforward way, can provide approximations to nonperturbative quantities such as the chiral symmetry breaking order…

高能物理 - 唯象学 · 物理学 2013-05-30 J. -L. Kneur , A. Neveu

We review on-shell methods for computing multi-parton scattering amplitudes in perturbative QCD, utilizing their unitarity and factorization properties. We focus on aspects which are useful for the construction of one-loop amplitudes needed…

高能物理 - 唯象学 · 物理学 2010-11-15 Zvi Bern , Lance J. Dixon , David A. Kosower

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 of a quenched QCD simulation with overlap fermions on a lattice of volume V = 16^3X32 at beta=6.0, which corresponds approximatively to a lattice cutoff of 2 GeV and an extension of 1.4 fm. From the two-point correlation…

高能物理 - 格点 · 物理学 2015-06-25 L. Giusti , C. Hoelbling , C. Rebbi

A method of evaluation of spacelike QCD observables ${\cal D}(Q^2)$ is developed, motivated by the renormalon structure of these quantities. A related auxiliary quantity ${\widetilde {\cal D}}(Q^2)$ is introduced, which is renomalization…

高能物理 - 唯象学 · 物理学 2019-01-23 Gorazd Cvetic

Using the method of on-shell recursion relations we compute tree level amplitudes including D-dimensional scalars and fermions. These tree level amplitudes are needed for calculations of one-loop amplitudes in QCD involving external quarks…

高能物理 - 唯象学 · 物理学 2009-11-11 Callum Quigley , Moshe Rozali

Precision tests of QCD perturbation theory are not readily available from experimental data. The main reasons are systematic uncertainties due to the confinement of quarks and gluons, as well as kinematical constraints which limit the…

高能物理 - 格点 · 物理学 2017-04-05 Stefan Sint

The QCD$\times$QED factorization is studied for two-body non-leptonic and semi-leptonic $B$ decays with heavy-light final states. These non-leptonic decays, like $\bar{B}^0_{(s)}\to D^+_{(s)} \pi^-$ and $\bar{B}_d^0 \to D^+ K^-$, are among…

高能物理 - 唯象学 · 物理学 2021-11-17 Martin Beneke , Philipp Böer , Gael Finauri , K. Keri Vos

QCD corrections are evaluated to FCNC processes like $B \to X_s \nu \bar{\nu}$, $K \to \pi \nu \bar{\nu}$, $B \to l^+ l^-$ or $K_L \to \mu^+ \mu^-$, i.e. to processes mediated by effective operators containing neutrino currents or axial…

高能物理 - 唯象学 · 物理学 2008-11-26 Mikolaj Misiak , Joerg Urban

Exponential resummation of the QCD finite-density Taylor series has been recently introduced as an alternative way of resumming the finite-density lattice QCD Taylor series. Unfortunately the usual exponential resummation formula suffers…

高能物理 - 格点 · 物理学 2023-09-06 Sabarnya Mitra , Prasad Hegde

Large Language Models (LLMs) are increasingly deployed to autonomously solve real-world tasks. A key ingredient for this is the LLM Function-Calling paradigm, a widely used approach for equipping LLMs with tool-use capabilities. However, an…

We calculate one-loop renormalization factors of three-quark operators, which appear in the low energy effective Lagrangian of the nucleon decay, for $O(a)$-improved quark action and gauge action including six-link loops. This calculation…

高能物理 - 格点 · 物理学 2016-12-28 S. Aoki , Y. Kuramashi , T. Onogi , N. Tsutsui

The perturbative and nonperturbative renormalisation of quark-antiquark operators in lattice QCD with two flavours of clover fermions is investigated within the research programme of the QCDSF collaboration. Operators with up to three…

This is a doctoral thesis dissertation developed in the frame of theoretical QCD predictions, with focus on two main topics. On the one hand, the large-order bahavior of perturbative QCD series is discussed. By reviewing the main…

高能物理 - 唯象学 · 物理学 2023-06-27 Nestor G. Gracia

This work develops a framework to apply normalizing-flow transformations of field configurations for all-orders Quantum Electrodynamics (QED) corrections in lattice field theory. This opens a new possibility to determine all-order…

高能物理 - 格点 · 物理学 2026-05-22 Nils Hermansson-Truedsson , Gurtej Kanwar

We apply the renormalization group optimized perturbation theory (RGOPT)to evaluate the QCD (matter) pressure at the two-loop level considering three flavors of massless quarks in a dense and cold medium. Already at leading order…

高能物理 - 唯象学 · 物理学 2019-12-11 Jean-Loïc Kneur , Marcus Benghi Pinto , Tulio Eduardo Restrepo

Higher order calculations in perturbative Quantum Field Theories often produce coupled linear systems of differential equations which factorize to first order. Here we present an algorithm to solve such systems in terms of iterated…

高能物理 - 唯象学 · 物理学 2020-08-26 J. Ablinger , J. Blümlein , P. Marquard , N. Rana , C. Schneider