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We show that transverse-momentum-dependent parton distribution functions (TMDPDFs), important non-perturbative quantities for describing the properties of hadrons in high-energy scattering processes such as Drell-Yan and semi-inclusive…

High Energy Physics - Phenomenology · Physics 2020-12-30 Xiangdong Ji , Yizhuang Liu , Yu-Sheng Liu

A linearized tensor renormalization group (LTRG) algorithm is proposed to calculate the thermodynamic properties of one-dimensional quantum lattice models, that is incorporated with the infinite time-evolving block decimation technique, and…

Strongly Correlated Electrons · Physics 2011-04-05 Wei Li , Shi-Ju Ran , Shou-Shu Gong , Yang Zhao , Bin Xi , Fei Ye , Gang Su

We develop a formalism for resumming threshold double logarithms that appear in fragmentation functions for production of heavy quarkonia. Threshold singularities appear in fixed-order calculations of quarkonium fragmentation functions in…

High Energy Physics - Phenomenology · Physics 2026-04-29 Hee Sok Chung , U-Rae Kim , Jungil Lee

We present the resumed predictions consisting of both soft-virtual(SV) as well as next-to-SV(NSV) threshold logarithms to all orders in perturbative QCD for the rapidity distribution of Higgs Boson till $\rm NNLO + \overline{NNLL}$ accuracy…

High Energy Physics - Phenomenology · Physics 2023-07-26 V. Ravindran , Aparna Sankar , Surabhi Tiwari

We present the leading-twist quark transverse momentum-dependent parton distribution functions (TMDs) for the spin-1 target, such as the $\rho$-meson, in the light-front framework. Specifically, we predict the TMDs in the light-front…

High Energy Physics - Phenomenology · Physics 2021-02-24 Satvir Kaur , Chandan Mondal , Harleen Dahiya

Resonant tunneling through quantum dot under a finite bias voltage at zero temperature is investigated by using the adaptive time-dependent density matrix renormalization group(TdDMRG) method. Quantum dot is modeled by the Anderson…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shunsuke Kirino , Tatsuya Fujii , Jize Zhao , Kazuo Ueda

We present a new framework for computing resummed and matched distributions in processes with many hard QCD jets. The intricate color structure of soft gluon emission at large angles renders resummed calculations highly non-trivial in this…

High Energy Physics - Phenomenology · Physics 2015-02-19 Erik Gerwick , Stefan Hoeche , Simone Marzani , Steffen Schumann

We discuss the state-of-the-art of the theory of transverse-momentum dependent parton densities (TMD)s, paying special attention to their renormalization properties, the structure of the gauge links in the operator definition, and the role…

High Energy Physics - Phenomenology · Physics 2017-08-23 I. O. Cherednikov , N. G. Stefanis

We combine soft and collinear matrix elements to define transverse momentum dependent parton distributions (TMDs) for gluons, free from rapidity divergences. We establish a factorization theorem at next-to-leading order for the Higgs boson…

High Energy Physics - Phenomenology · Physics 2015-08-12 Tomas Kasemets

The renormalization group is used to sum the leading-log (LL) contributions to the effective action for a large constant external gauge field in terms of the one-loop renormalization group (RG) function beta, the next-to-leading-log (NLL)…

High Energy Physics - Theory · Physics 2015-05-27 D. G. C. McKeon

In the following we present our recent results on the resummation of soft gluon corrections to the $pp\rightarrow t\bar{t}H$ cross section at the LHC. The resummation was carried out at next-to-next-to-leading-logarithmic (NNLL) accuracy…

High Energy Physics - Phenomenology · Physics 2017-10-18 Anna Kulesza , Leszek Motyka , Tomasz Stebel , Vincent Theeuwes

Expanding and improving the repertoire of numerical methods for studying quantum lattice models is an ongoing focus in many-body physics. While the density matrix renormalization group (DMRG) has been established as a practically useful…

Strongly Correlated Electrons · Physics 2021-09-28 Maxwell Block , Johannes Motruk , Snir Gazit , Michael P. Zaletel , Zeph Landau , Umesh Vazirani , Norman Y. Yao

Event shape observables have been widely used for precision QCD studies at various lepton and hadron colliders. We present the most accurate calculation of the transverse-energy-energy correlation event shape variable in deep-inelastic…

High Energy Physics - Phenomenology · Physics 2020-12-02 Hai Tao Li , Ivan Vitev , Yu Jiao Zhu

We recall the main features of the Regge approach used to understand soft interactions at LHC and higher energies. Unitarity tames the power growth of the elastic proton-proton scattering amplitude with energy, and leads to the migration of…

High Energy Physics - Phenomenology · Physics 2009-10-09 M. G. Ryskin , A. D. Martin , V. A. Khoze , A. G. Shuvaev

We use the functional Renormalisation Group (fRG) to describe the in and out of equilibrium dynamics of stochastic processes, governed by an overdamped Langevin equation. Exploiting the connection between Langevin dynamics and…

Statistical Mechanics · Physics 2021-02-05 Ashley Wilkins , Gerasimos Rigopoulos , Enrico Masoero

We develop an alternative time-dependent numerical renormalization group (TDNRG) formalism for multiple quenches and implement it to study the response of a quantum impurity system to a general pulse. Within this approach, we reduce the…

Strongly Correlated Electrons · Physics 2018-10-25 H. T. M. Nghiem , T. A. Costi

We re-examine observables with rapidity divergences in the context of a formulation of Soft-Collinear Effective Theory in which infrared degrees of freedom are not explicitly separated into modes. We consider the Sudakov form factor with a…

High Energy Physics - Phenomenology · Physics 2021-07-28 Matthew Inglis-Whalen , Michael Luke , Aris Spourdalakis

In this article we wish to present a new method to obtain spectral functions at finite temperature and density from the Functional Renormalization Group (FRG). The FRG offers a powerful non-perturbative tool to deal with phase transitions…

High Energy Physics - Phenomenology · Physics 2014-09-17 Jochen Wambach , Ralf-Arno Tripolt , Nils Strodthoff , Lorenz von Smekal

The functional renormalisation group equation is derived in a mathematically rigorous fashion in a framework suitable for the Osterwalder-Schrader formulation of quantum field theory. To this end, we devise a very general regularisation…

Mathematical Physics · Physics 2023-09-06 Jobst Ziebell

Renormalization group (RG) invariance implies that the predictions of effective field theory are independent of the momentum cutoffs introduced during regularization. Here we report the first systematic verification of RG invariance for…

Nuclear Theory · Physics 2025-09-04 Jia-Ai Shi , Chen-Can Wang , Bing-Nan Lu