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We linearize nonlinear supersymmetry in the Volkov-Akulov (VA) theory for extended SUSY in two dimensional spacetime ($d = 2$) based on the commutator algebra. Linear SUSY transformations of basic component fields for general vector…

High Energy Physics - Theory · Physics 2018-12-26 Motomu Tsuda

In this manuscript we study the Double SU(4) model as a grand unified theory based on the gauge group $\,SU(4)\times SU(4)\left(\times \mathcal{Z}_2\right)$. A complete set of generators is constructed according to a pattern of symmetry…

High Energy Physics - Phenomenology · Physics 2019-03-11 Jose A. R. Cembranos , Pablo Diez-Valle

To analyse pure ${\cal N}=2$ $SU(2)$ gauge theory in the Nekrasov-Shatashvili (NS) limit (or deformed Seiberg-Witten (SW)), we use the Ordinary Differential Equation/Integrable Model (ODE/IM) correspondence, and in particular its (broken)…

High Energy Physics - Theory · Physics 2020-03-25 Davide Fioravanti , Daniele Gregori

We obtain the operator product expansion of the self-energy in the O(N) non-linear $\sigma$-model to all orders in the coupling and the large momentum, and to next-to-leading order in 1/N. In the light of this result we discuss recent…

High Energy Physics - Phenomenology · Physics 2011-03-31 M. Beneke , V. M. Braun , N. Kivel

We derive compact analytical formulae for all tree-level color-ordered gauge theory amplitudes involving any number of external gluons and up to three massless quark-anti-quark pairs. A general formula is presented based on the…

High Energy Physics - Phenomenology · Physics 2011-01-24 Lance J. Dixon , Johannes M. Henn , Jan Plefka , Theodor Schuster

The extension of the linear flavor-wave theory (LFWT) to fully antisymmetric irreducible representations (irreps) of $\mathrm{SU}(N)$ is presented in order to investigate the color order of $\mathrm{SU}(N)$ antiferromagnetic Heisenberg…

Strongly Correlated Electrons · Physics 2019-02-12 Francisco Hyunkyu Kim , Karlo Penc , Pierre Nataf , Frédéric Mila

An important unresolved question in strong interaction physics concerns the parameterization of power-suppressed long-distance effects to hard processes that do not admit an operator product expansion (OPE). Recently Bauer et al.\ have…

High Energy Physics - Phenomenology · Physics 2011-05-05 M. Beneke , A. P. Chapovsky , M. Diehl , Th. Feldmann

We study the theta dependence of the spectrum of four-dimensional SU(N) gauge theories, where theta is the coefficient of the topological term in the Lagrangian, for N>=3 and in the large-N limit. We compute the O(theta^2) terms of the…

High Energy Physics - Theory · Physics 2008-11-26 Luigi Del Debbio , Gian Mario Manca , Haralambos Panagopoulos , Apostolos Skouroupathis , Ettore Vicari

Soft and collinear factorisations can be used to construct expressions for amplitudes in theories of gravity. We generalise the "half-soft" functions used previously to "soft-lifting" functions and use these to generate tree and one-loop…

High Energy Physics - Theory · Physics 2013-05-30 David C. Dunbar , James H. Ettle , Warren B. Perkins

We revisit the study of singular points in the Coulomb branch of $\mathcal{N}=2$ SQCD in four dimensions with gauge group $SU(N)$ and odd number of flavors. For certain choices of the mass parameters these vacua are not lifted by a mass…

High Energy Physics - Theory · Physics 2015-09-18 Stefano Bolognesi , Simone Giacomelli , Kenichi Konishi

We analyze a theory known as extended DBI, which interpolates between DBI and the $U(N)\times U(N)/U(N)$ non-linear sigma model and represents a nontrivial example of theories with mixed power counting. We discuss symmetries of the action…

High Energy Physics - Theory · Physics 2021-11-03 Karol Kampf , Jiri Novotny , Petr Vasko

Asymptotic particle states in four-dimensional celestial scattering amplitudes are labelled by their $SL(2,\mathbb{C})$ Lorentz/conformal weights $(h,\bar{h})$ rather than the usual energy-momentum four-vector. These boost eigenstates…

High Energy Physics - Theory · Physics 2019-10-30 Monica Pate , Ana-Maria Raclariu , Andrew Strominger

We study a finite SU(5) grand unified model based on the non-Abelian discrete symmetry A_4. This model leads to the democratic structure of the mass matrices for the quarks and leptons. In the soft supersymmetry breaking sector, the scalar…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. S. Babu , Tatsuo Kobayashi , Jisuke Kubo

Exceptional theories are a group of one-parameter scalar field theories with (enhanced) vanishing soft limits in the S-matrix elements. They include the nonlinear sigma model (NLSM), Dirac-Born-Infeld scalars and the special Galileon…

High Energy Physics - Theory · Physics 2019-05-01 Zhewei Yin

In the sigma model, soft insertions of moduli scalars enact parallel transport of $S$-matrix elements about the finite-dimensional moduli space of vacua, and the antisymmetric double-soft theorem calculates the curvature of the vacuum…

High Energy Physics - Theory · Physics 2023-07-07 Daniel Kapec

In M-theory on $S^1/Z_2$, we point out that to be consistant, we should keep the scale, gauge couplings and soft terms at next order, and obtain the soft term relations: $M_{1/2} = -A$, $|{{M_{0}}/{M_{1/2}}}| \leq {1/{\sqrt 3}}$ in the…

High Energy Physics - Theory · Physics 2009-10-31 Tianjun Li

In this paper, we study the single and double soft behaviors of tree level off-shell currents and on-shell amplitudes in nonlinear sigma model(NLSM). We first propose and prove the leading soft behavior of the tree level currents with a…

High Energy Physics - Theory · Physics 2015-08-27 Yi-Jian Du , Hui Luo

Leading (large) logarithms in non-renormalizable theories have been investigated in the recent past. Besides some general considerations, explicit results for the expansion coefficients (in terms of leading logarithms) of partial wave…

High Energy Physics - Phenomenology · Physics 2018-08-15 B. Ananthanarayan , Shayan Ghosh , Alexey Vladimirov , Daniel Wyler

Noncommutative U(1) gauge theory in 4-dimensions is shown to be equivalent in some scaling limit to an ordinary non-linear sigma model in 2-dimensions . The model in this regime is solvable and the corresponding exact beta function is…

High Energy Physics - Theory · Physics 2009-11-10 Badis Ydri

The soft theorem states that scattering amplitude in gauge theory with a soft gauge-boson emission can be factorized into a hard scattering amplitude and a soft factor. In this paper, we present calculations of the soft factor for processes…

High Energy Physics - Phenomenology · Physics 2024-01-25 Wen Chen , Ming-xing Luo , Tong-Zhi Yang , Hua Xing Zhu