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We review the field-theoretic renormalization-group approach to critical properties of flat polymerized membranes. We start with a presentation of the flexural effective model that is entirely expressed in terms of a transverse (flexural)…

Statistical Mechanics · Physics 2025-09-15 Simon Metayer , Sofian Teber

We discuss conceptual aspects of renormalization in the context of effective field theories for the two-nucleon system. It is shown that, contrary to widespread belief, renormalization scheme dependence of the scattering amplitude can only…

Nuclear Theory · Physics 2015-05-13 E. Epelbaum , J. Gegelia

We study the factorization of soft and collinear singularities in dimensionally-regularized fixed-angle scattering amplitudes in massless gauge theories. Our factorization is based on replacing the hard massless partons by light-like Wilson…

High Energy Physics - Phenomenology · Physics 2009-03-19 Einan Gardi , Lorenzo Magnea

The quark form factor is known to exponentiate within the framework of dimensionally regularized perturbative QCD. The logarithm of the form factor is expressed in terms of integrals over the scale of the running coupling. I show that these…

High Energy Physics - Phenomenology · Physics 2009-10-31 Lorenzo Magnea

We present the threshold resummation for the cross section of heavy quark production in polarized deep-inelastic scattering to next-to-leading logarithmic accuracy and in single-particle inclusive kinematics. We expand our resummed result…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. O. Eynck , S. Moch

The functional renormalization group method is used to take into account the vacuum polarization around localized bound states generated by external potential. The application to Atomic Physics leads to improved Hartree-Fock and Kohn-Sham…

Strongly Correlated Electrons · Physics 2007-05-23 Janos Polonyi

A two-loop calculation of the renormalization group $\beta$--function in a momentum subtraction scheme with massive quarks is presented using the background field formalism. The results have been obtained by using a set of new generalized…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. Jegerlehner , O. V. Tarasov

We describe the most general local, Lorentz-invariant, effective field theory of scalars, fermions and gauge bosons up to mass dimension 6. We first obtain both a Green and a physical basis for such an effective theory, together with the…

High Energy Physics - Phenomenology · Physics 2025-01-24 Renato M. Fonseca , Pablo Olgoso , José Santiago

In this article we show how the resummation of infrared and collinear logarithms within Soft-Collinear Effective Theory (SCET) can be formulated in a way that makes it suitable for a Monte-Carlo implementation. This is done by applying the…

High Energy Physics - Phenomenology · Physics 2019-03-27 Christian W. Bauer , Pier Francesco Monni

We study the transverse momentum dependent factorization for single spin asymmetries in Drell-Yan and semi-inclusive deep inelastic scattering processes at one-loop order. The next-to-leading order hard factors are calculated in the…

High Energy Physics - Phenomenology · Physics 2011-10-11 Zhong-Bo Kang , Bo-Wen Xiao , Feng Yuan

Many present lattice QCD approaches to calculate the parton distribution functions (PDFs) rely on a factorization formula or effective theory expansion of certain Euclidean matrix elements in boosted hadron states. In the quasi- and…

High Energy Physics - Phenomenology · Physics 2021-05-28 Xiang Gao , Kyle Lee , Swagato Mukherjee , Charles Shugert , Yong Zhao

We present calculations of structure functions using a renormalization scheme consistent expansion which is leading order in both ln(1/x) and \alpha_s(Q^2). There is no factorization scheme dependence, and the ``physical anomalous…

High Energy Physics - Phenomenology · Physics 2009-10-28 Robert S. Thorne

A method of exact all-order summation of leading infrared logarithms in two dimensional massless $\Phi^4$-type non-renormalizable effective field theories (EFTs) is developed. The method is applied to the ${\rm O}(N)$-symmetric EFT, which…

High Energy Physics - Phenomenology · Physics 2019-04-05 Jonas Linzen , Maxim V. Polyakov , Kirill M. Semenov-Tian-Shansky , Nika S. Sokolova

We study the factorization and resummation of t-channel top quark transverse momentum distribution at large pT in the SM at both the Tevatron and the LHC with soft-collinear effective theory. The cross section in the threshold region can be…

High Energy Physics - Phenomenology · Physics 2013-02-21 Jian Wang , Chong Sheng Li , Hua Xing Zhu

Effective field theory methods are used to study factorization of the deep inelastic scattering cross-section. The cross-section is shown to factor in QCD, even though it does not factor in perturbation theory for some choices of the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Aneesh V. Manohar

We introduce Scale Factorized-Quantum Field Theory (SF-QFT), a framework performing path-integral factorization of ultraviolet and infrared momentum modes at a physical scale $Q^*$ before perturbative expansion through Effective Dynamical…

High Energy Physics - Phenomenology · Physics 2026-03-23 Farrukh A. Chishtie

We show how the resummation of large logarithms can be incorporated into the method of effective charges. As an example, we apply this approach to the event shape variables thrust and heavy jet mass in e+e- annihilation. We find that,…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. J. Dinsdale , C. J. Maxwell

Here we discuss a regularized version of the factorization method for positive operators acting on a Hilbert Space. The factorization method is a qualitative reconstruction method that has been used to solve many inverse shape problems. In…

Analysis of PDEs · Mathematics 2022-04-11 Isaac Harris

We apply recently developed path integral resummation methods to perturbative quantum gravity. In particular, we provide supporting evidence that eikonal graviton amplitudes factorize into hard and soft parts, and confirm a recent…

High Energy Physics - Theory · Physics 2015-03-19 Chris D. White

The resummed differential thrust rate in e+e- annihilation is calculated using Soft-Collinear Effective Theory (SCET). The resulting distribution in the two-jet region T~1 is found to agree with the corresponding expression derived by the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Matthew D. Schwartz
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