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Related papers: Closing a Loophole in Factorization Proofs

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The factorization of soft and ultrasoft gluons from collinear particles is shown at the level of operators in an effective field theory. Exclusive hadronic factorization and inclusive partonic factorization follow as special cases. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian W. Bauer , Dan Pirjol , Iain W. Stewart

We outline a proof of factorization in exclusive processes, taking into account the presence of soft and collinear modes of arbitrarily low energy, which arise when the external lines of the process are taken on shell. Specifically, we…

High Energy Physics - Phenomenology · Physics 2010-06-28 Geoffrey T. Bodwin , Xavier Garcia i Tormo , Jungil Lee

When energies or angles of gluons emitted in a gauge-theory process are small and strongly ordered, the emission factorizes in a simple way to all orders in perturbation theory. I show how to unify the various strongly-ordered soft, mixed…

High Energy Physics - Phenomenology · Physics 2009-11-10 David A. Kosower

We show that soft gluons exchanged between the two colliding protons in multiparton scattering processes can be decoupled, such that their effects are described by the vacuum expectation values of Wilson lines. Our argument relies on…

High Energy Physics - Phenomenology · Physics 2019-05-22 Markus Diehl , Riccardo Nagar

In this paper we show how gauge symmetries in an effective theory can be used to simplify proofs of factorization formulae in highly energetic hadronic processes. We use the soft-collinear effective theory, generalized to deal with…

High Energy Physics - Phenomenology · Physics 2009-11-07 Christian W. Bauer , Sean Fleming , Dan Pirjol , Ira Z. Rothstein , Iain W. Stewart

In this thesis we present an introduction to Soft-Collinear Effective Theory, which can be used to prove (or disprove) factorization theorems to all orders in the strong coupling constant for some B decays into light and energetic…

High Energy Physics - Phenomenology · Physics 2007-05-23 Bjorn O Lange

We construct the Lagrangian for an effective theory of highly energetic quarks with energy Q, interacting with collinear and soft gluons. This theory has two low energy scales, the transverse momentum of the collinear particles, p_perp, and…

High Energy Physics - Phenomenology · Physics 2009-10-31 Christian W. Bauer , Sean Fleming , Dan Pirjol , Iain W. Stewart

We discuss recent developments in descriptions of processes using power expansion around the lightcone within Soft-Collinear Effective Theory. First, we present an overview of the systematically improvable framework that enables…

High Energy Physics - Phenomenology · Physics 2024-02-02 Sebastian Jaskiewicz

Factorization is possible due to the universal behavior of Yang-Mills theories in soft and collinear limits. Here, we take a small step towards a more transparent understanding of these limits by proving a form of perturbative factorization…

High Energy Physics - Theory · Physics 2013-09-25 Ilya Feige , Matthew D. Schwartz

Glauber gluons in Drell-Yan processes are soft gluons with the transverse momenta much larger than their momentum components along the directions of initial hadrons. Their existence has been a serious challenge in proving the factorization…

High Energy Physics - Phenomenology · Physics 2010-01-21 F. Liu , J. P. Ma

We exhibit an exclusive process, namely the photoproduction of a $\pi^{0}\gamma$ pair with large invariant mass, which violates collinear factorization. We explicitly demonstrate that this is due to the fact that there exists diagrams with…

High Energy Physics - Phenomenology · Physics 2024-09-25 Saad Nabeebaccus , Jakob Schoenleber , Lech Szymanowski , Samuel Wallon

We study transverse-momentum-dependent factorization at twist-3 for Drell-Yan processes. The factorization can be derived straightforwardly at leading order of $\alpha_s$. But at this order we find that light-cone singularities already…

High Energy Physics - Phenomenology · Physics 2017-04-11 A. P. Chen , J. P. Ma

We outline arguments for the cancellation of soft singularities in transition probabilities and parton distributions with incoming partons and Wilson lines, and with observed jets or heavy colored particles in the final states. We show the…

High Energy Physics - Phenomenology · Physics 2009-02-02 S. Mert Aybat , George Sterman

The soft-collinear effective theory has been recently applied to prove novel factorization theorems for many B decays. We describe here in some detail the factorization relation for color-supressed nonleptonic B -> D(*)0 pi0 decays and…

High Energy Physics - Phenomenology · Physics 2017-08-23 Dan Pirjol

Soft-collinear effective theory is used to prove factorization of the B->gamma+l+nu decay amplitude at leading power in Lambda/m_b, including a demonstration of the absence of non-valence Fock states and of the finiteness of the convolution…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. W. Bosch , R. J. Hill , B. O. Lange , M. Neubert

We reformulate the soft-collinear effective theory which includes the collinear quark and soft gluons. The quark form factor is used to prove that SCET$_{\rm II}$ reproduces the IR physics of the full theory. We give a factorization proof…

High Energy Physics - Phenomenology · Physics 2014-11-17 Zheng-Tao Wei

We compute the tree-level current for the emission of a soft quark-antiquark pair in association with a gluon. This soft current is the last missing ingredient to understand the infrared singularities that can arise in…

High Energy Physics - Phenomenology · Physics 2023-02-01 Vittorio Del Duca , Claude Duhr , Rayan Haindl , Zhengwen Liu

We prove a factorization theorem for heavy-to-light form factors. Our result differs in several important ways from previous proposals. A proper separation of scales gives hard kernels that are free of endpoint singularities. A general…

High Energy Physics - Phenomenology · Physics 2009-11-07 Christian W. Bauer , Dan Pirjol , Iain W. Stewart

The consistency of collinear factorization violation with PDF factorization has been an outstanding challenge and subject of considerable debate. In this work we demonstrate their compatibility using a factorization theorem for non-global…

High Energy Physics - Phenomenology · Physics 2025-09-10 Thomas Becher , Patrick Hager , Sebastian Jaskiewicz , Matthias Neubert , Dominik Schwienbacher

Working in the hybrid high-energy/collinear factorization, where the next-to-leading resummation of energy logarithms is combined with collinear parton densities and fragmentation functions, we study observables sensitive to high-energy…

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