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The asymptotic behaviour of the electromagnetic form factors of the electron and quark is obtained in the double-logarithmic approximation for Sudakov kinematics, i.e. for the case that the value of the momentum transfer is much greater…

高能物理 - 唯象学 · 物理学 2009-10-31 B. I. Ermolaev , S. I. Troyan

The effective kinematic diagram technique is applied to study inelastic form factors of electron and quark in QED and QCD. The explicit expressions for these form factors in the double-logarithmic approximation are presented. The…

高能物理 - 唯象学 · 物理学 2009-11-10 E. Bartos , E. A. Kuraev , I. O. Cherednikov

Accounting for double-logarithmic contributions to high-energy (>> 100 GeV) e^+ e^- annihilation into a quark or a lepton pair in the kinematics where the final particles are colinear to the e^+e^- beams leading to a sizable difference…

高能物理 - 唯象学 · 物理学 2007-05-23 B. I. Ermolaev , M. Greco , S. M. Oliveira , S. I. Troyan

In the asymptotic limit $Q^2 \gg m^2$, the heavy quark form factors exhibit Sudakov behavior. We study the corresponding renormalization group equations of the heavy quark form factors which do not only govern the structure of infrared…

高能物理 - 唯象学 · 物理学 2019-01-23 J. Blümlein , P. Marquard , N. Rana

We investigate the Sudakov double logarithmic corrections to the form factor of fermion in the SU(2)XU(1) electroweak theory. We adopt the familiar Feynman gauge and present explicit calculations at the two loop level. We show that the…

高能物理 - 唯象学 · 物理学 2009-10-31 M. Hori , H. Kawamura , J. Kodaira

The two-loop formfactor both for a U(1)xU(1) and a SU(2)xU(1) gauge theory with massive and massless gauge bosons respectively is evaluated at arbitrary momentum transfer q^2. The asymptotic behaviour for q^2->\infinity is compared to a…

高能物理 - 唯象学 · 物理学 2008-11-26 A. Kotikov , J. H. Kuhn , O. Veretin

We present closed analytic expressions of the electromagnetic vertex form factors for heavy quarks at the two-loop level in QCD for arbitrary momentum transfer. The calculation is carried out in dimensional regularization. The electric and…

高能物理 - 唯象学 · 物理学 2010-04-05 W. Bernreuther , R. Bonciani , T. Gehrmann , R. Heinesch , T. Leineweber , P. Mastrolia , E. Remiddi

We compare the existing data about electromagnetic form factors of the proton in the time-like region of momentum transfer (up to $q^2\simeq$ 14 (GeV/c)$^2$), with the corresponding data in the space-like region. From the constrains given…

核理论 · 物理学 2007-05-23 Egle Tomasi-Gustafsson , Michail P. Rekalo

In Next Linear Colliders at TeV scale, electroweak double logarithmic corrections, which come from the infrared behaviors of theory can not be neglected. It is well known that in QED and QCD, double logarithmic corrections are resummed to…

高能物理 - 唯象学 · 物理学 2007-05-23 Michihiro Hori

We evaluate the on shell form factors of the electron for arbitrary momentum transfer and finite electron mass, at two loops in QED, by integrating the corresponding dispersion relations, which involve the imaginary parts known since a long…

高能物理 - 唯象学 · 物理学 2008-11-26 P. Mastrolia , E. Remiddi

Accounting for the double-logarithmic (DL) contributions to amplitude of Z to f \bar{f} leads to the Sudakov suppression. In contrast, resumming DL contributions to amplitudes of W to f \bar{f}' results into an exponential with a positive…

高能物理 - 唯象学 · 物理学 2007-05-23 B. I. Ermolaev

We study the asymptotic behaviour of two-loop electroweak corrections at energies Q >> M_W, where logarithms of the type ln(Q/M_W) become dominant. The calculation of the leading and next-to-leading logarithmic terms for massless and…

高能物理 - 唯象学 · 物理学 2018-04-05 A. Denner , B. Jantzen , S. Pozzorini

A theorem about asymptotic estimation of multiple integral of a special type is proved for the case when the integrand peaks at the integration domain bound, but not at a point of extremum. Using this theorem the asymptotic expansion of the…

核理论 · 物理学 2008-11-26 A. F. Krutov , V. E. Troitsky , N. A. Tsirova

We discuss recent results for the asymptotic behavior of fermion scattering amplitudes in the Sudakov limit. The results include next-to-next-to-leading logarithmic electroweak corrections and are used for the analysis of…

高能物理 - 唯象学 · 物理学 2009-11-07 S. Moch

The two-loop Sudakov form factor is computed in a U(1) model with a massive gauge boson and a $U(1)\times U(1)$ model with mass gap. We analyze the result in the context of hard and infrared evolution equations and establish a matching…

高能物理 - 唯象学 · 物理学 2011-07-19 Bernd Feucht , Johann H. Kühn , Alexander A. Penin , Vladimir A. Smirnov

Point-form relativistic quantum mechanics is used to derive an expression for the electromagnetic form factor of a pseudoscalar meson for space-like momentum transfers. The elastic scattering of an electron by a confined quark-antiquark…

We present the complete analytical result for the two-loop logarithmically enhanced contributions to the high energy asymptotic behavior of the vector form factor and the four-fermion cross section in a spontaneously broken SU(2) gauge…

高能物理 - 唯象学 · 物理学 2014-11-18 Bernd Jantzen , Johann H. Kühn , Alexander A. Penin , Vladimir A. Smirnov

The off-shell and the on-shell Sudakov form factors in theories with broken gauge symmetry are calculated in the double-logarithmic approximation. We have used different infrared cut-offs, i.e. different mass scales, for virtual photons and…

高能物理 - 理论 · 物理学 2007-05-23 A. Barroso , B. I. Ermolaev

The dominant electroweak double logarithmic corrections to the process $e^+e^-\to f\bar f$ at high energy are found in all orders of perturbation theory. In contrast to results in simple Yang-Mills theories these corrections do not…

高能物理 - 唯象学 · 物理学 2007-05-23 J. H. Kühn , A. A. Penin

We calculate the virtual electroweak Sudakov (double) logarithms at one- and two-loop level for arbitrary on-shell/on-resonance particles in the Standard Model. The associated Sudakov form factors apply in a universal way to arbitrary…

高能物理 - 唯象学 · 物理学 2009-11-07 W. Beenakker , A. Werthenbach
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