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We compute correlation functions of chiral primary operators in N=2 superconformal theories at large N using a construction based on supersymmetric localization recently developed by Gerchkovitz et al. We focus on N=4 SYM as well as on…

High Energy Physics - Theory · Physics 2016-07-20 Diego Rodriguez-Gomez , Jorge G. Russo

Extracting parton distribution functions (PDFs) from lattice QCD calculation of quasi-PDFs has been actively pursued in recent years. We extend our proof of the multiplicative renormalizability of quasi-quark operators in Ref. [1] to…

High Energy Physics - Phenomenology · Physics 2019-02-20 Zheng-Yang Li , Yan-Qing Ma , Jian-Wei Qiu

The field theoretic renormalization group is applied to the stochastic Navier-Stokes equation with the stirring force correlator of the form k^(4-d-2\epsilon) in the d-dimensional space, in connection with the problem of construction of the…

Chaotic Dynamics · Physics 2023-10-10 L. Ts. Adzhemyan , N. V. Antonov , P. B. Gol'din , T. L. Kim , M. V. Kompaniets

In this work we have studied the QCD phase structure and critical dynamics related to the 3-$d$ $O(4)$ and $Z(2)$ symmetry universality classes in the two-flavor quark-meson low energy effective theory within the functional renormalization…

High Energy Physics - Phenomenology · Physics 2021-09-15 Yong-rui Chen , Rui Wen , Wei-jie Fu

We accomplish for the first time the next-to-leading-order QCD computations of the leading-twist contributions to the Dirac form factors of both the proton and the neutron by applying the hard-collinear factorization theorem rigorously. The…

High Energy Physics - Phenomenology · Physics 2024-07-29 Yong-Kang Huang , Bo-Xuan Shi , Yu-Ming Wang , Xue-Chen Zhao

The spectral properties of the Wilson-Dirac operator in 2-dimensional QED responsible for the appearance of exceptional configurations in quenched simulations are studied in detail. The mass singularity structure of the quenched functional…

High Energy Physics - Lattice · Physics 2009-10-30 W. Bardeen , A. Duncan , E. Eichten , H. Thacker

The essentially non-perturbative polarization effects are considered for a planar supercritical Dirac-Coulomb system with strong coupling (similar to graphene and graphene-based heterostructures) in terms of induced charge density…

Mesoscale and Nanoscale Physics · Physics 2018-12-26 Yu. Voronina , K. Sveshnikov , P. Grashin , A. Davydov

Two-loop anomalous dimensions and one-loop renormalization scheme matching factors are calculated for six-quark operators responsible for neutron-antineutron transitions. When combined with lattice QCD determinations of the matrix elements…

High Energy Physics - Phenomenology · Physics 2018-10-03 Michael I. Buchoff , Michael Wagman

We develop a systematic renormalization procedure for QFT in anti-de Sitter spacetime. UV infinities are regulated using a geodesic point-splitting method, which respects AdS isometries, while IR infinities are regulated by cutting off the…

High Energy Physics - Theory · Physics 2023-02-08 Máximo Bañados , Ernesto Bianchi , Iván Muñoz , Kostas Skenderis

We compute the anomalous dimension of the fermion field with N_f flavours in the fundamental representation of a general Lie colour group in the non-abelian Thirring model at four loops. The implications on the renormalization of the two…

High Energy Physics - Theory · Physics 2016-09-06 D. B. Ali , J. A. Gracey

We derive a compact expression for the Borel sum of a QCD amplitude in terms of the inverse Mellin transform of the corresponding Borel function. The result allows us to investigate the momentum-plane analyticity properties of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Irinel Caprini , Matthias Neubert

We consider the singular behaviour of one-loop QCD matrix elements when several external partons become simultaneously parallel. We present a new factorization formula that describes the singular collinear behaviour directly in colour…

High Energy Physics - Phenomenology · Physics 2010-04-05 Stefano Catani , Daniel de Florian , German Rodrigo

We propose a renormalon-inspired resummation of QCD perturbation theory based on approximating the renormalization scheme (RS) invariant effective charge beta-function coefficients by the portion containing the highest power of…

High Energy Physics - Phenomenology · Physics 2009-10-28 C. J. Maxwell , D. G. Tonge

The renormalization constant $Z_J$ of the flavor-singlet axial-vector current with a non-anticommuting $\gamma_5$ in dimensional regularization is determined to order $\alpha_s^3$ in QCD with massless quarks. The result is obtained by…

High Energy Physics - Phenomenology · Physics 2021-06-02 Taushif Ahmed , Long Chen , Michał Czakon

Using Schroedinger Functional methods, we compute the non-perturbative renormalisation and renormalisation group running of several four-fermion operators, in the framework of lattice simulations with two dynamical Wilson quarks. Two…

High Energy Physics - Lattice · Physics 2008-11-26 P. Dimopoulos , G. Herdoiza , F. Palombi , M. Papinutto , C. Pena , A. Vladikas , H. Wittig

We argue that the renormalization factors for nonlocal quark-antiquark and gluon operators at space-like and time-like separations connected by a Wilson line coincide to all orders in perturbation theory. We calculate the anomalous…

High Energy Physics - Phenomenology · Physics 2020-09-25 V. M. Braun , K. G. Chetyrkin , B. A. Kniehl

We study the QCD Adler function in the energy region $\approx 0.7-2.5$ GeV, in which the non-perturbative effects become dominant. Our analysis is a renormalon-based evaluation using transseries within the resurgence of the…

High Energy Physics - Phenomenology · Physics 2021-05-12 Alessio Maiezza , Juan Carlos Vasquez

Using the semi-classical approximation to the Wheeler-DeWitt equation obtained via Arnowitt-Deser-Misner (ADM) formalism in the Friedmann-Lemaitre-Robertson-Walker (FLRW) model coupled to a scalar field and positive cosmological constant,…

General Relativity and Quantum Cosmology · Physics 2019-02-15 J. A. Astorga-Moreno , E. Mena , Miguel A. Garcia-Aspeitia

The angle-dependent cusp anomalous dimension governs divergences coming from soft gluon exchanges between heavy particles, such as top quarks. We focus on the matter-dependent contributions and compute the first truly non-planar terms. They…

High Energy Physics - Theory · Physics 2021-01-20 Robin Brüser , Christoph Dlapa , Johannes M. Henn , Kai Yan

We derive a compact representation of the renormalized $N$-jettiness soft function that is free of infrared and collinear divergences through next-to-next-to-leading order in perturbative QCD. The number of hard partons $N$ is a parameter…

High Energy Physics - Phenomenology · Physics 2024-03-06 Prem Agarwal , Kirill Melnikov , Ivan Pedron
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