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We propose a novel scheme for the exact renormalisation group motivated by the desire of reducing the complexity of practical computations. The key idea is to specify renormalisation conditions for all inessential couplings, leaving us with…

High Energy Physics - Theory · Physics 2022-10-12 Alessio Baldazzi , Riccardo Ben Alì Zinati , Kevin Falls

Infrared renormalons and $1/Q^2$ power corrections in deep-inelastic sum rules are studied. The renormalization of operators with power divergence are discussed. The higher-twist terms in the operator product expansion are shown to account…

High Energy Physics - Phenomenology · Physics 2015-06-25 Xiangdong Ji , MIT

We provide a precise statement of hard-soft-collinear factorization of scattering amplitudes and prove it to all orders in perturbation theory. Factorization is formulated as the equality at leading power of scattering amplitudes in QCD…

High Energy Physics - Phenomenology · Physics 2015-03-09 Ilya Feige , Matthew D. Schwartz

We study soft-gluon radiation for heavy quark production in charged-current Deep Inelastic Scattering processes. We resum large-x contributions to the MSbar coefficient function to next-to-leading logarithmic accuracy and present results…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gennaro Corcella , Alexander D. Mitov

The absence of fermionic, asymptotical one-particle states in the Luttinger model raises the suspicion that the interactions are actually strong at the vicinity of the Fermi points. The functional internal space renormalization group…

Strongly Correlated Electrons · Physics 2007-05-23 Janos Polonyi , Franck Stauffer

We introduce a novel method for the renormalization of the Hamiltonian operator in Quantum Field Theory in the spirit of the Wilson renormalization group. By a series of unitary transformations that successively decouples the high-frequency…

High Energy Physics - Theory · Physics 2009-10-31 G. Alexanian , E. F. Moreno

We provide an elementary pedagogical introduction to some basic concepts and techniques of soft (or Sudakov) resummation, specifically in QCD, paying particular attention to simple but useful tricks of the trade. We briefly review collinear…

High Energy Physics - Phenomenology · Physics 2026-04-09 Stefano Forte , Giovanni Ridolfi

We use soft-collinear effective theory (SCET) to study the factorization properties of deep inelastic scattering in the region of phase space where 1-x = O(Lambda_{QCD/Q}). By applying a regions analysis to loop diagrams in the Breit frame,…

High Energy Physics - Phenomenology · Physics 2009-11-11 Ben D. Pecjak

We demonstrate a factorization formula for semi-inclusive deep-inelastic scattering with hadrons in the current fragmentation region detected at low transverse momentum. To facilitate the factorization, we introduce the transverse-momentum…

High Energy Physics - Phenomenology · Physics 2011-08-01 Xiangdong Ji , Jian-ping Ma , Feng Yuan

We show how the exact renormalization group for the effective action with a sharp momentum cutoff, may be organised by expanding one-particle irreducible parts in terms of homogeneous functions of momenta of integer degree (Taylor…

High Energy Physics - Theory · Physics 2009-10-28 Tim R. Morris

Inclusive deep inelastic scattering factorization combines two features that are often treated separately: an asymptotic reconstruction of the current-current matrix element from hard and long-distance data, and an invariance under finite…

High Energy Physics - Phenomenology · Physics 2026-05-18 Dustin Keller

We consider the Sudakov form factor in effective theories and we show that one can derive correctly the double logarithms of the original, high-energy, theory. We show that in effective theories it is possible to separate explicitely soft…

High Energy Physics - Phenomenology · Physics 2009-10-30 U. Aglietti , G. Corbo` , L. Trentadue

We present a new method for renormalisation group improvement of the effective potential of a quantum field theory with an arbitrary number of scalar fields. The method amounts to solving the renormalisation group equation for the effective…

High Energy Physics - Phenomenology · Physics 2018-03-12 Leonardo Chataignier , Tomislav Prokopec , Michael G. Schmidt , Bogumila Swiezewska

We consider the effect of higher twist operators of the Wilson operator product expansion in the structure function $F_{2}(x,Q^{2})$ at small-$x$, taking into account QCD effective charges whose infrared behavior is constrained by a…

High Energy Physics - Phenomenology · Physics 2020-04-22 D. Hadjimichef , E. G. S. Luna , M. Peláez

The off-diagonal parton-scattering channels $g+\gamma^*$ and $q+\phi^*$ in deep-inelastic scattering are power-suppressed near threshold $x\to 1$. We address the next-to-leading power (NLP) resummation of large double logarithms of $1-x$ to…

High Energy Physics - Phenomenology · Physics 2020-12-02 Martin Beneke , Mathias Garny , Sebastian Jaskiewicz , Robert Szafron , Leonardo Vernazza , Jian Wang

We construct an effective field theory valid for processes in which highly energetic light-like particles interact with collinear and soft degrees of freedom, using the decay B -> X_s + gamma near the endpoint of the photon spectrum, x = 2…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. W. Bauer , S. Fleming , M. Luke

Renormalization group in the internal space consists of the gradual change of the coupling constants. Functional evolution equations corresponding to the change of the mass or the coupling constant are presented in the framework of a scalar…

High Energy Physics - Theory · Physics 2009-11-10 J. Polonyi , K. Sailer

The renormalization-group improved effective potential ---to leading-log and in the linear curvature approximation--- is constructed for ``finite'' theories in curved spacetime. It is not trivial and displays a quite interesting,…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. D. Odintsov

We present a factorization formula for the energy-energy correlator in the collinear limit for the case of heavy ion collisions. Employing Soft Collinear Effective Theory, we provide a complete framework for jet production and evolution by…

High Energy Physics - Phenomenology · Physics 2024-08-07 Balbeer Singh , Varun Vaidya

We develop a simple non-perturbative approach to the calculation of a field theory effective potential that is based on the Wilson or exact renormalization group. Our approach follows Shepard et al's idea [Phys. Rev. D51, 7017 (1995)] of…

High Energy Physics - Theory · Physics 2022-07-05 Jose Gaite