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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…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Hori , H. Kawamura , J. Kodaira

In the context of AdS/CFT we provide analytical support for the proposed duality between a Wilson loop with a cusp, the cusp anomalous dimension, and the meson model constructed from a rotating open string with high angular momentum. This…

High Energy Physics - Theory · Physics 2020-06-24 R. Espíndola , J. Antonio García

Wilson lines capture important features of scattering amplitudes, for example soft effects relevant for infrared divergences, and the Regge limit. Beyond the leading power approximation, corrections to the eikonal picture have to be taken…

High Energy Physics - Theory · Physics 2018-05-23 Robin Brüser , Simon Caron-Huot , Johannes M. Henn

We compute the two-loop soft function for the associated production of a top quark and a $W$ boson near the threshold, where the invariant mass of the $tW$ system approaches the collider energy. We employ the reverse unitarity technique and…

High Energy Physics - Phenomenology · Physics 2025-06-23 Jia-Le Ding , Hai Tao Li , Jian Wang

We present results on the two-loop anomalous dimensions of the heavy baryon HQET currents $J=(q^TC\Gamma\tau q)\Gamma'Q$ with arbitrary Dirac matrices $\Gamma$ and $\Gamma'$. From our general result we obtain the two-loop anomalous…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Groote , J. G. Körner , O. I. Yakovlev

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…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michihiro Hori

The increasing accuracy of current and planned experiments to measure the anomalous magnetic moment of the muon requires more precision and reliability of its theoretical calculation. For this purpose, we calculate the differential cross…

High Energy Physics - Phenomenology · Physics 2023-08-21 V. S. Fadin , R. N. Lee

We consider the massless two-loop two-point function with arbitrary powers of the propagators and derive a representation, from which we can obtain the Laurent expansion to any desired order in the dimensional regularization parameter eps.…

High Energy Physics - Phenomenology · Physics 2009-11-10 Isabella Bierenbaum , Stefan Weinzierl

We demonstrate that it is possible to determine the coefficients of an all-order beta function linear in the anomalous dimensions using as data the two-loop coefficients together with the first one of the anomalous dimensions which are…

High Energy Physics - Phenomenology · Physics 2011-06-08 Claudio Pica , Francesco Sannino

The renormalization of higher-dimensional operators in quantum field theory is essential for phenomenological analyses in particle physics, and plays a significant role in the study of critical phenomena. We present a framework for…

High Energy Physics - Phenomenology · Physics 2025-12-10 Guilherme Guedes , Jasper Roosmale Nepveu

We derive exact, convergent representations of multiloop sunset Feynman integrals in two dimensions for arbitrary mass configurations and all loop orders valid for large Euclidean momentum. The integrals are expressed as sums of symmetric…

High Energy Physics - Theory · Physics 2026-03-04 Pierre Vanhove

Extending earlier work, we find the two-loop term in the beta-function for the scalar coupling $\zeta$ in a generalized Wilson loop operator of the $\mathcal{N}=4$ SYM theory, working in the planar weak-coupling expansion. The beta-function…

High Energy Physics - Theory · Physics 2022-02-02 Matteo Beccaria , Simone Giombi , Arkady A. Tseytlin

We present exact results, at next-to-leading order in renormalization-group improved perturbation theory, for the Wilson coefficients appearing at order 1/m_Q in the heavy-quark expansion of heavy-light current operators. To this end, we…

High Energy Physics - Phenomenology · Physics 2009-10-31 Thomas Becher , Matthias Neubert , Alexey A. Petrov

Complete two-loop calculation of a dimensionally regularized Wilson loop with light-like segments is performed in the light-like axial gauge with the Mandelstam-Leibbrandt prescription for the gluon propagator. We find an expression which…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. Bassetto , I. A. Korchemskaya , G. P. Korchemsky , G. Nardelli

We present the calculation of the $\mathcal{O}(\alpha_s^2 C_F T_F)$ massive quark corrections to the soft function for the double hemisphere jet mass distribution in $e^+ e^-$ collisions, a necessary ingredient for the calculation of…

High Energy Physics - Phenomenology · Physics 2014-02-05 Simon Gritschacher , Andre Hoang , Ilaria Jemos , Piotr Pietrulewicz

A general discussion is presented of the single logarithmic soft factor that appears in two scale QCD observables in processes involving four partons. We treat it as the ``fifth form factor'', accompanying the four collinear singular…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yu. L. Dokshitzer , G. Marchesini

We consider twist $J$ operators with spin $S$ in the $sl(2)$ sector of $\mathcal N=4$ SYM. The small spin expansion of their anomalous dimension defines the so-called slope functions. Much is known about the linear term, but the study of…

High Energy Physics - Theory · Physics 2015-06-19 Matteo Beccaria , Guido Macorini

In this work we propose improved holographic hard wall (HW) models by the inclusion of anomalous dimensions in the dual operators that describe glueballs inspired by the AdS/CFT correspondence. The anomalous dimensions come from well known…

High Energy Physics - Phenomenology · Physics 2024-04-25 Rafael A. Costa-Silva , Henrique Boschi-Filho

An important ``observable'' of planar N=4 SYM theory is the scaling function f(lambda) that appears in the anomalous dimension of large spin twist 2 operators and also in the cusp anomaly of light-like Wilson loops. The non-trivial relation…

High Energy Physics - Theory · Physics 2008-11-26 M. Kruczenski , R. Roiban , A. Tirziu , A. A. Tseytlin

We report on the recent completion of the three-loop calculation of the soft anomalous dimension in massless gauge-theory scattering amplitudes. This brings the state-of-the-art knowledge of long-distance singularities in multi-leg QCD…

High Energy Physics - Phenomenology · Physics 2016-06-21 Einan Gardi , Øyvind Almelid , Claude Duhr