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Two-body weak decays of bottom mesons into two pseudoscalar mesons are examined employing SU(3) flavor symmetry for the nonfactorizable matrix elements. Using certain measured Cabibo-favored modes, we fix the reduced matrix elements and…

High Energy Physics - Phenomenology · Physics 2023-11-22 Maninder Kaur , R. C. Verma

We construct a regularization for light-like polygonal Wilson loops in ${\cal N}=4$ SYM, which matches them to the off-shell MHV gluon scattering amplitudes. Explicit calculations are performed for the 1-loop four gluon case. The off light…

High Energy Physics - Theory · Physics 2008-11-26 Harald Dorn , Charlotte Grosse Wiesmann

We introduce parametrizations of hadronic three-body $B$ and $D$ weak decay amplitudes that can be readily implemented in experimental analyses and are a sound alternative to the simplistic and widely used sum of Breit-Wigner type…

High Energy Physics - Phenomenology · Physics 2017-12-20 D. Boito , J. -P. Dedonder , B. El-Bennich , R. Escribano , R. Kaminski , L. Lesniak , B. Loiseau

We present a general formalism for computing the matrix-element squared for the emission of soft energy-ordered gluons beyond two loops in QCD perturbation theory at finite $N_c$. Our formalism is valid in the eikonal approximation. A…

High Energy Physics - Phenomenology · Physics 2016-03-24 Yazid Delenda , Kamel Khelifa-Kerfa

Integrable sl(N) spin chains, which we consider in this paper, are not only the prototypical example of quantum integrable systems but also systems with a wide range of applications. For these models we use the Functional Separation of…

High Energy Physics - Theory · Physics 2022-11-30 Nikolay Gromov , Nicolo Primi , Paul Ryan

We formulate the path integral of two- and three-flavor Wilson fermion in two dimensions as a multilayer Grassmann tensor network by the matrix product decomposition. Thanks to this new description, the memory cost scaling is reduced from…

High Energy Physics - Lattice · Physics 2023-09-04 Shinichiro Akiyama

In this PhD thesis we extend the twistor formalism to encompass (partially) off-shell quantities. We describe all gauge-invariant local composite operators in twistor space and show that they immediately generate all tree-level form factors…

High Energy Physics - Theory · Physics 2017-12-21 Laura Koster

An accurate low-energy dispersive parametrization of the scalar Kpi form factor was constructed some time ago in terms of a single parameter guided by the Callan-Treiman low-energy theorem. A similar twice subtracted dispersive…

High Energy Physics - Phenomenology · Physics 2009-09-01 Veronique Bernard , Micaela Oertel , Emilie Passemar , Jan Stern

We study form factors of the quantum complex sinh-Gordon theory in the algebraic approach. In the case of exponential fields the form factors can be obtained from the known form factors of the $Z_N$-symmetric Ising model. The algebraic…

High Energy Physics - Theory · Physics 2016-11-28 Michael Lashkevich , Yaroslav Pugai

In this paper we construct the Lagrangian and Hamiltonian formulations of N=4 supersymmetric systems describing the motion of an isospin particle on a conformally flat four-manifold with SO(4) isometry carrying the non-Abelian field of a…

High Energy Physics - Theory · Physics 2010-04-22 Sergey Krivonos , Olaf Lechtenfeld , Anton Sutulin

This paper is a sequel to "Computing diagonal form and Jacobson normal form of a matrix using Groebner bases", J. of Symb. Computation, 46 (5), 2011. We present a new fraction-free algorithm for the computation of a diagonal form of a…

Rings and Algebras · Mathematics 2017-12-06 Viktor Levandovskyy , Kristina Schindelar

In the present work we determine the eight form factors of the transversely-projected quark-gluon vertex in general kinematics, in the context of Landau-gauge QCD with two degenerate light dynamical quarks. The study is based on the set of…

High Energy Physics - Phenomenology · Physics 2024-08-29 A. C. Aguilar , M. N. Ferreira , G. T. Linhares , B. M. Oliveira , J. Papavassiliou

We derive a factorization theorem for the Higgs-boson production amplitude in gluon-gluon fusion induced by a light-quark loop, working at next-to-leading power in soft-collinear effective theory. The factorization is structurally similar…

High Energy Physics - Phenomenology · Physics 2023-07-26 Ze Long Liu , Matthias Neubert , Marvin Schnubel , Xing Wang

We study the radiative decay of $\Upsilon$ into a scalar glueball $\Upsilon \to \gamma G_s$ using QCD factorization. We find that for this process the non-perturbative effects can be factorized into a matrix element well defined in…

High Energy Physics - Phenomenology · Physics 2009-11-07 X. -G. He , H. -Y. Jin , J. P. Ma

This work considers a computationally and statistically efficient parameter estimation method for a wide class of latent variable models---including Gaussian mixture models, hidden Markov models, and latent Dirichlet allocation---which…

Machine Learning · Computer Science 2014-11-17 Anima Anandkumar , Rong Ge , Daniel Hsu , Sham M. Kakade , Matus Telgarsky

Bardeen-Buras-G\'{e}rard have proposed a large N$_c$ method to evaluate hadronic weak matrix elements to attack for instance the determination of the $\Delta I= \frac{1}{2}$-rule and $\mathrm{Re}(\frac{\epsilon'}{\epsilon})$. Here we test…

High Energy Physics - Phenomenology · Physics 2016-06-01 E. Coluccio Leskow , G. D'Ambrosio , D. Greynat , A. Nath

We consider the maximal cut of a three-loop four point function with massless kinematics. By applying Groebner bases and primary decomposition we develop a method which extracts all ten propagator master integral coefficients for an…

High Energy Physics - Phenomenology · Physics 2015-06-05 Simon Badger , Hjalte Frellesvig , Yang Zhang

Nonfactorizable contributions to exclusive two-body nonleptonic weak decays of heavy mesons arising from color octet currents, characterized by the parameter $r_2$, are extracted from the data. It is found that $r_2$ is equal to $\sim…

High Energy Physics - Phenomenology · Physics 2009-10-28 Hai-Yang Cheng

A numerical program is presented which facilitates the computation of the full set of one-gluon loop diagrams (including ghost loop contributions), with M attached external gluon lines in all possible ways. The feasibility of such a task…

High Energy Physics - Theory · Physics 2007-05-23 A. S. Kapoyannis , A. I. Karanikas , C. N. Ktorides

I briefly summarize the application of the Dyson-Schwinger/Faddeev approach to baryon form factors. Recent results for nucleon electromagnetic and axial form factors as well as N-Delta-Gamma electromagnetic transition form factors are…

High Energy Physics - Phenomenology · Physics 2011-12-22 Gernot Eichmann
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