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Finding an efficient and compelling regularization of soft and collinear degrees of freedom at the same invariant mass scale, but separated in rapidity is a persistent problem in high-energy factorization. In the course of a calculation,…

High Energy Physics - Phenomenology · Physics 2016-04-05 Ye Li , Duff Neill , Hua Xing Zhu

I review the basics of the collinear factorization theorem applied primarily to deep inelastic scattering (DIS) involving forward parton distributions (PDFs) and the extensions of this theorem for exclusive processes probing non-forward…

High Energy Physics - Phenomenology · Physics 2015-03-20 Lech Szymanowski

We compute the inclusive unpolarized dihadron production cross section in the far from back-to-back region of $e^+ e^-$ annihilation in leading order pQCD using existing fragmentation function fits and standard collinear factorization,…

High Energy Physics - Phenomenology · Physics 2019-11-20 E. Moffat , T. C. Rogers , N. Sato , A. Signori

In the original Collins-Soper-Sterman (CSS) presentation of the results of transverse-momentum-dependent (TMD) factorization for the Drell-Yan process, results for perturbative coefficients can be obtained from calculations for collinear…

High Energy Physics - Phenomenology · Physics 2017-09-20 John Collins , Ted C. Rogers

The factorization theorem for $q_T$ spectra in Drell-Yan processes, boson production and semi-inclusive deep inelastic scattering allows for the determination of the non-perturbative parts of transverse momentum dependent parton…

High Energy Physics - Phenomenology · Physics 2015-06-23 Umberto D'Alesio , Miguel G. Echevarría , Stefano Melis , Ignazio Scimemi

In the target fragmentation region of Semi-Inclusive Deep Inelastic Scattering, the diffractively produced hadron has small transverse momentum. If it is at order of $\Lambda_{QCD}$, it prevents to make predictions with the standard…

High Energy Physics - Phenomenology · Physics 2022-01-17 K. B. Chen , J. P. Ma , X. B. Tong

I present some results about transverse momentum dependent distribution and fragmentation functions. Firstly I illustrate a simple model, with predictive power about the energy behavior, for T-odd, chiral odd functions. Moreover I propose a…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Di Salvo

We investigate the predictive power of transverse-momentum-dependent (TMD) distributions as a function of the light-cone momentum fraction $x$ and the hard scale $Q$ defined by the process. We apply the saddle point approximation to the…

High Energy Physics - Phenomenology · Physics 2020-07-03 Manvir Grewal , Zhong-Bo Kang , Jian-Wei Qiu , Andrea Signori

We introduce a modified factorization formalism in quantum chromodynamics for hadronic production of $W$ and $Z$ bosons at large transverse momentum $p_T$. When $p_T$ is much larger than the invariant mass $Q$ of the vector boson, this new…

High Energy Physics - Phenomenology · Physics 2015-06-10 Edmond L. Berger , Jun Gao , Zhong-Bo Kang , Jian-Wei Qiu , Hao Zhang

We derive a factorization theorem for Drell-Yan process at low q_T using effective field theory methods. In this theorem all the obtained quantities are gauge invariant and the special role of the soft function--and its subtraction…

High Energy Physics - Phenomenology · Physics 2015-06-03 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi

Probabilities of vibronic transitions in molecules are referred to as Franck-Condon factors (FCFs). Although several approaches for calculating FCFs have been developed, such calculations are still challenging. Recently it was shown that…

Quantum Physics · Physics 2020-09-16 Kevin Valson Jacob , Eneet Kaur , Wojciech Roga , Masahiro Takeoka

We study transverse momentum dependent factorization and resummation at sub-leading power in Drell-Yan and semi-inclusive deep inelastic scattering. In these processes the sub-leading power contributions to the cross section enter as a…

High Energy Physics - Phenomenology · Physics 2023-02-15 Leonard Gamberg , Zhong-Bo Kang , Ding Yu Shao , John Terry , Fanyi Zhao

Threshold resummation for factorizable cross sections in hadron-hadron collisions has a number of applications and extensions. We discuss factorization scale dependence, resummation at nonleading power in the moment variable, and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 George Sterman , Werner Vogelsang

A consistent factorization theorem is presented in the framework of effective field theories. Conventional factorization suffers from infrared divergences in the soft and collinear parts. We present a factorization theorem in which the…

High Energy Physics - Phenomenology · Physics 2013-03-27 Junegone Chay , Chul Kim

We present a theorem concerning the invariance of cross-correlation peak positions, which provides a foundation for a new method for time difference estimation that is potentially faster than the conventional fast Fourier transform (FFT)…

Signal Processing · Electrical Eng. & Systems 2025-09-25 Natsuki Ueno , Ryotaro Sato , Nobutaka Ono

Familiar factorized descriptions of classic QCD processes such as deeply-inelastic scattering (DIS) apply in the limit of very large hard scales, much larger than nonperturbative mass scales and other nonperturbative physical properties…

High Energy Physics - Phenomenology · Physics 2017-06-01 E. Moffat , W. Melnitchouk , T. C. Rogers , N. Sato

We define the collinear factorization scheme, which absorbs only the collinear physics into the parton distribution functions. In order to isolate the collinear physics, we introduce a procedure to combine real and virtual corrections,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fabio Maltoni , Thomas McElmurry , Robert Putman , Scott Willenbrock

Matching is a widely used causal inference design that aims to approximate a randomized experiment using observational data by forming matched sets of treated and control units based on similarities in their covariates. Ideally, treated…

Methodology · Statistics 2026-04-06 Jianan Zhu , Jeffrey Zhang , Zijian Guo , Siyu Heng

We derive a factorization theorem for the Higgs boson transverse momentum (p_T) and rapidity (Y) distributions at hadron colliders, using the Soft Collinear Effective Theory (SCET), for m_h>> p_T>> \Lambda_{QCD} where m_h denotes the Higgs…

High Energy Physics - Phenomenology · Physics 2015-03-13 Sonny Mantry , Frank Petriello

Explicit applications of factorization theorems for processes at hadron colliders near the hadronic endpoint have largely focused on simple final states with either no jets (e.g., Drell-Yan) or one inclusive jet (e.g., deep inelastic…

High Energy Physics - Phenomenology · Physics 2014-11-20 Christian W. Bauer , Nicholas Daniel Dunn , Andrew Hornig