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Tensor decompositions, which represent an $N$-order tensor using approximately $N$ factors of much smaller dimensions, can significantly reduce the number of parameters. This is particularly beneficial for high-order tensors, as the number…

Machine Learning · Computer Science 2025-06-23 Zhen Qin , Michael B. Wakin , Zhihui Zhu

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 report on progress toward computing a four-loop supersymmetric form factor in maximally supersymmetric Yang-Mills theory. A representative example particle content from the involved supermultiplets is a stress-tensor operator with two…

High Energy Physics - Theory · Physics 2016-07-04 Rutger H. Boels , Bernd A. Kniehl , Gang Yang

This paper deals with the introduction of a decomposition of the deformations of curved thin beams, with section of order $\delta$, which takes into account the specific geometry of such beams. A deformation $v$ is split into an elementary…

Numerical Analysis · Mathematics 2011-09-13 Dominique Blanchard , Georges Griso

We construct the quark-antiquark chiral odd distribution amplitudes including twist-four mass contributions for tensor mesons. We also give quark-antiquark-gluon distribution amplitudes, where we calculate the input parameters with QCD sum…

High Energy Physics - Phenomenology · Physics 2018-07-11 Maximilian Emmerich , Matthias Strohmaier , Andreas Schäfer

We present a systematic procedure to compute complete, analytic form factors of gauge-invariant operators at loop level in pure Yang-Mills. We consider applications to operators of the form $\mathrm{Tr}\, F^n$ where $F$ is the gluon field…

High Energy Physics - Theory · Physics 2020-01-15 Manuel Accettulli Huber , Andreas Brandhuber , Stefano De Angelis , Gabriele Travaglini

In this paper we generalize the O(p+1,p+1) solution generating technique (this is a method used to deform Dp-branes by turning on a NS-NS B-field) to M-theory, in order to be able to deform M5-brane supergravity solutions directly in eleven…

High Energy Physics - Theory · Physics 2009-11-07 Henric Larsson

In the first part of this thesis, we study form factors of general gauge-invariant local composite operators in $\mathcal{N}=4$ super Yang-Mills theory at various loop orders and for various numbers of external legs. We show how to use…

High Energy Physics - Theory · Physics 2016-03-04 Matthias Wilhelm

Since an old observation by Beenakker et al, the evaluation of QCD processes in dimensional reduction has repeatedly led to terms that seem to violate the QCD factorization theorem. We reconsider the example of the process gg->ttbar and…

High Energy Physics - Phenomenology · Physics 2010-04-05 Adrian Signer , Dominik Stöckinger

The QED four-photon amplitude has been well-studied by many authors, and on-shell is treated in many textbooks. However, a calculation with all four photons off-shell is presently still lacking, despite of the fact that this amplitude…

High Energy Physics - Theory · Physics 2023-05-24 Naser Ahmadiniaz , Cristhiam Lopez-Arcos , Misha A. Lopez-Lopez , Christian Schubert

The axial form factor of the nucleon is studied in a two-component model consisting of a three-quark intrinsic structure surrounded by a meson cloud. The experimental data in the space-like region are well reproduced with a minimal number…

Nuclear Theory · Physics 2008-11-26 C. Adamuščín , E. Tomasi-Gustafsson , E. Santopinto , R. Bijker

In a recent paper, we have shown that the way of gauge-invariant decomposition of the nucleon spin is not necessarily unique, but there still exists a preferable decomposition from the observational viewpoint. What was not complete in this…

High Energy Physics - Phenomenology · Physics 2011-02-16 M. Wakamatsu

In the first part of this thesis, we make use of representation theory of groups and algebras to perform an irreducible decomposition of tensors in the context of metric-affine gravity. In particular, we consider the action of the…

High Energy Physics - Theory · Physics 2024-07-26 Thomas Helpin

We present an unfolded off-shell formulation for free massless higher-spin fields in 4d Minkowski space in terms of spinorial variables. This system arises from the on-shell one by the addition of external higher-spin currents, for which we…

High Energy Physics - Theory · Physics 2021-12-21 Nikita Misuna

Strassler's formulation of the string-derived Bern-Kosower formalism is reconsidered with particular emphasis on effective actions and form factors. Two- and three point form factors in the nonabelian effective action are calculated and…

High Energy Physics - Theory · Physics 2009-10-22 M. G. Schmidt , C. Schubert

Using NLL values for Wilson coefficients and including the contributions from the penguin diagrams, we estimate the amount of nonfactorization in two-body hadronic B decays. Also, we investigate the model dependence of the nonfactorization…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. M. Al-Shamali , A. N. Kamal

Computing the renormalized masses and S-matrix elements in string theory, involving states whose masses are not protected from quantum corrections, requires defining off-shell amplitude with certain factorization properties. While in the…

High Energy Physics - Theory · Physics 2016-01-20 Ashoke Sen

Various applications of quantum algebraic techniques in nuclear structure physics, such as the su$_q$(2) rotator model and its extensions, the use of deformed bosons in the description of pairing correlations, and the construction of…

q-alg · Mathematics 2008-02-03 Dennis Bonatsos , C. Daskaloyannis , P. Kolokotronis , D. Lenis

We estimate nonfactorizable 1/$N_c$ contributions in the $K\rightarrow 2\pi$ amplitudes using the approach proposed in our previous work. It is demonstrated that for the conventional (nonpenguin) operators these contributions are close in…

High Energy Physics - Phenomenology · Physics 2010-11-01 B. Blok , M. Shifman

Making use of the effective field theory expansion recently developed by the authors, we compute the electromagnetic form factors of the deuteron analytically to next-to-leading order (NLO). The computation is rather simple, and involves…

Nuclear Theory · Physics 2009-10-31 David B. Kaplan , Martin J. Savage , Mark B. Wise
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