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A summary of the current understanding of methods of analytical higher order perturbative computations of total cross sections and decay widths in Quantum Chromodynamics is presented. As examples, the total cross section in electron…

High Energy Physics - Phenomenology · Physics 2009-10-28 Levan R. Surguladze , Mark A. Samuel

In these lectures we give a concise introduction to the ideas of renormalon calculus in QED and QCD. We focus in particular on the example of the Adler D function of vacuum polarization, and on relations between perturbative renormalon…

High Energy Physics - Phenomenology · Physics 2011-03-28 C. J. Maxwell

In this paper we use abstract vector spaces and their duals without any canonical basis. Some of our results can be extended to infinite dimensional vector spaces too, but here we consider only finite dimensional spaces. We focus on a…

Rings and Algebras · Mathematics 2008-10-08 Attila Andai

We calculate the branching ratios and CP asymmetries of the $B \to \pi \rho$, $\pi\omega $ decays in the perturbative QCD factorization approach up to the next-to-leading-order contributions. We find that the next-to-leading-order…

High Energy Physics - Phenomenology · Physics 2012-03-20 Zhou Rui , Gao Xiangdong , Cai-Dian Lu

We discuss some problems concerning the application of perturbative QCD to high energy processes. In particular for hard processes, we analyze higher order and higher twist corrections. It is argued that these effects are of great…

High Energy Physics - Phenomenology · Physics 2009-12-18 A. Efremov , A. Radyushkin

Perturbative quantum gravity starts from prescribing a background metric. That background metric is then used in order to carry out two separate steps: 1. One splits the non-perturbative metric into background and deviation from it…

General Relativity and Quantum Cosmology · Physics 2024-05-03 Thomas Thiemann

While causal perturbation theory and lattice regularisation allow treatment of the ultraviolet divergences in qed, they do not resolve the issues of constructive field theory, or show the validity of qed except as a perturbation theory. I…

General Relativity and Quantum Cosmology · Physics 2014-10-30 Charles Francis

In the literature, the study of electron transport in quantum devices is mainly devoted to DC properties. The fluctuations of the electrical current around these DC values, the so-called quantum noise, are much less analyzed. The…

Quantum Physics · Physics 2015-03-11 Damiano Marian , Enrique Colomés , Zhen Zhan , Xavier Oriols

We propose a method to analyze infrared contributions to non-inclusive processes in QCD. We use the one-loop Sudakov form factor as a working example. Borrowing techniques from renormalization theory, we construct counterterms for the…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. C. Collins , F. Hautmann

The removal of unphysical singularities in the perturbatively calculable part of the pion form factor--a classic example of a three-point function in QCD--is discussed. Different ``analytization'' procedures in the sense of Shirkov and…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. P. Bakulev , A. I. Karanikas , N. G. Stefanis

We establish a no-go result for the infrared sector of quantum electrodynamics. Using the standard Fock-space formulation, we show that gauge invariance enforces coherent soft-photon phases that guarantee the…

High Energy Physics - Theory · Physics 2026-02-12 Takeshi Fukuyama

Quantum fluctuations in the QED vacuum generate non-linear effects, such as peculiar induced electromagnetic fields. In particular, we show here that an electrically neutral particle, possessing a magnetic dipole moment, develops an induced…

High Energy Physics - Phenomenology · Physics 2009-09-01 C. A. Dominguez , H. Falomir , M. Ipinza , S. Kohler , M. Loewe , J. C. Rojas

We propose a quantum distance measure between probability distributions encoded in quantum states based on the fragility of quantum interference under entangling evolution. The Quantum Interference-Induced Bhattacharyya Distance (QIBD) is…

Quantum Physics · Physics 2026-01-12 Mostafizur Rahaman Laskar

Recently, we have introduced a unified theory to deal with perturbative and non-perturbative QCD contributions to hadronic structure functions in deep inelastic scattering. This formulation is realized by combining the coordinate space…

High Energy Physics - Phenomenology · Physics 2016-08-25 A. Harindranath , Rajen Kundu , Wei-Min Zhang

In this work we show how to construct the one-loop vacuum polarization for light-front QED$_{4}$ in the framework of the perturbative causal theory. Usually, in the canonical approach, it is considered for the fermionic propagator the…

High Energy Physics - Theory · Physics 2014-11-27 R. Bufalo , B. M. Pimentel , D. E. Soto

The notion of a non-perturbative effect is ambiguous if it requires the subtraction of a perturbative part defined by a diverging series. A common procedure consists in dropping the order of minimal contribution and the higher orders. This…

High Energy Physics - Lattice · Physics 2011-04-12 A. Denbleyker , D. Du , Y. Meurice , M. Naides

The quantum structure of Spacetime at the Planck scale suggests the use, in defining interactions between fields, of the Quantum Wick product. The resulting theory is ultraviolet finite, but subject to an adiabatic cutoff in time which…

Mathematical Physics · Physics 2020-07-15 Sergio Doplicher , Gerardo Morsella , Nicola Pinamonti

We consider the behaviour of the perturbative QCD corrections to the R(e+e-) ratio in the limit that the c.m. energy sqrt(s) vanishes. We find that for N(f)<9 flavours of massless quarks, the perturbative correction to the parton model…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. M. Howe , C. J. Maxwell

The leading order coefficients of the beta-function of QCD are computed in a large N_f expansion. They are in agreement with the three loop MSbar calculation. The method involves computing the anomalous dimension of the operator (G^2_{mu…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. A. Gracey

We consider dephasing in the electronic Mach-Zehnder interferometer strongly coupled to current noise created by a voltage biased quantum point contact (QPC). We find the visibility of Aharonov-Bohm oscillations as a function voltage bias…

Mesoscale and Nanoscale Physics · Physics 2009-07-16 Ivan P. Levkivskyi , Eugene V. Sukhorukov
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