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In asymptotically free theories with collinear divergences it is sometimes claimed that these divergences cancel if one sums over initial and final state degenerate cross-sections and uses an off-shell renormalisation scheme. We show for…

High Energy Physics - Phenomenology · Physics 2010-08-25 Martin Lavelle , David McMullan , Tom Steele

We discuss a constraint of conformal symmetry in the analysis of the pion form factor. The usual power-law behavior of the form factor obtained in the perturbative QCD analysis can also be attained by taking negligible quark masses in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. -M. Choi , C. -R. Ji

Applying the dispersion approach we compute perturbative QCD corrections to the power suppressed soft contribution of $B \to \gamma \ell \nu$ at leading twist. QCD factorization for the $B \to \gamma^{\ast}$ form factors is demonstrated…

High Energy Physics - Phenomenology · Physics 2016-11-03 Yu-Ming Wang

Proof of factorization of soft and collinear divergences in non-equilibrium QCD may be necessary to study hadronic signatures of quark-gluon plasma at RHIC and LHC. In this paper we prove factorization of soft and collinear divergences in…

High Energy Physics - Phenomenology · Physics 2010-05-28 Gouranga C Nayak

We present a formulation of soft-collinear effective theory (SCET) in the two-jet sector as a theory of decoupled sectors of QCD coupled to Wilson lines. The formulation is manifestly boost-invariant, does not require the introduction of…

High Energy Physics - Phenomenology · Physics 2018-04-04 Raymond Goerke , Michael Luke

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

Heavy-to-light weak form factor is calculated using the light-cone sum rule (LCSR)in the framework of soft-collinear effective theory (SCET). There are spin-symmetric and spin-nonsymmetric contributions. Leading order spin-symmetric…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jong-Phil Lee

We apply the soft-collinear effective theory (SCET) to deep inelastic scattering near the endpoint region. The forward scattering amplitude, and the structure functions are shown to factorize as a convolution of the Wilson coefficients, the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Junegone Chay , Chul Kim

The methods of non-linear realizations have proven to be powerful in studying the low energy physics resulting from spontaneously broken internal and spacetime symmetries. In this paper, we reconsider how these techniques may be applied to…

High Energy Physics - Theory · Physics 2014-07-22 Garrett Goon , Austin Joyce , Mark Trodden

We derive quasi-collinear factorization formulas in generic spontaneously broken gauge theories with scalars, fermions, and vector bosons. Specifically, we obtain polarized leading-order splitting functions for all possible final-state and…

High Energy Physics - Phenomenology · Physics 2025-12-17 Stefan Dittmaier , Max Reyer

Two-loop corrections for the form factor in a massive Abelian theory are evaluated, which result from the insertion of massless fermion or scalar loops into the massive gauge boson propagator. The result is valid for arbitrary energies and…

High Energy Physics - Phenomenology · Physics 2009-03-16 B. Feucht , J. H. Kühn , S. Moch

Soft-Collinear Effective Theory (SCET) has been formulated since a decade now in covariant gauges. In this work we derive a modified SCET Lagrangian applicable in both classes of gauges: regular and singular ones. This extends the range of…

High Energy Physics - Phenomenology · Physics 2011-08-08 Miguel Garcia-Echevarria , Ahmad Idilbi , Ignazio Scimemi

The behavior of the proton magnetic form factor is studied within the modified hard scattering picture, which takes into account gluonic radiative corrections in terms of transverse separations. We parallel the analysis given previously by…

High Energy Physics - Phenomenology · Physics 2009-09-25 J. Bolz , R. Jakob , P. Kroll , M. Bergmann , N. G. Stefanis

The summation of the small x-corrections to hard-scattering QCD amplitudes by collinear factorisation method is reconsidered and the K-factor is derived in leading ln x approximation with a result differing from the corresponding expression…

High Energy Physics - Phenomenology · Physics 2016-11-25 R. Kirschner , M. Segond

We derive a factorization theorem for the structure-dependent QED effects in the weak exclusive process $B^-\to\ell^-\bar\nu_\ell$, i.e., effects probing the internal structure of the $B$ meson. The derivation requires a careful treatment…

High Energy Physics - Phenomenology · Physics 2026-01-23 Claudia Cornella , Matthias König , Matthias Neubert

We study in details on how gauge bosons can acquire mass when the chiral symmetry dynamically breaks down for massless gauge theory without scalars. Introducing dynamical scalar fields into the original gauge theory, we show that when the…

High Energy Physics - Theory · Physics 2007-05-23 Takayuki Matsuki , Masashi Shiotani

We analyze the basic hard exclusive processes: \pi\gamma*\gamma - transition, pion and nucleon electromagnetic form factors, and discuss the analytic continuation of QCD formulas from the spacelike q^2<0 to the timelike region q^2 >0 of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. P. Bakulev , A. V. Radyushkin , N. G. Stefanis

The soft factorization theorem for 4D abelian gauge theory states that the $\mathcal{S}$-matrix factorizes into soft and hard parts, with the universal soft part containing all soft and collinear poles. Similarly, correlation functions on…

High Energy Physics - Theory · Physics 2018-04-04 Anjalika Nande , Monica Pate , Andrew Strominger

The C-parameter distribution in $e^+e^-$ annihilation exhibits a kinematic shoulder at $C = 3/4$, where three-parton final states reach their maximum and a fourth parton is required to exceed it. This boundary generates large logarithms…

High Energy Physics - Phenomenology · Physics 2026-01-07 Matthew D. Schwartz

Using soft-collinear effective theory (SCET), we examine the 1/m_b corrections to the factorization formulas for inclusive semi-leptonic B decays in the endpoint region, where the hadronic final state consists of a single jet. At tree…

High Energy Physics - Phenomenology · Physics 2011-01-27 M. Beneke , F. Campanario , T. Mannel , B. D. Pecjak
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