scholarly journals Color-kinematic duality in ABJM theory without amplitude relations

2017 ◽  
Vol 32 (02n03) ◽  
pp. 1750002
Author(s):  
Allic Sivaramakrishnan
Keyword(s):  
Gauge Group ◽  
Explicit Form ◽  
Tree Level ◽  
Abjm Theory ◽  
Gauge Freedom

We explicitly show that the Bern–Carrasco–Johansson color-kinematic duality holds at tree level through at least eight points in Aharony–Bergman–Jafferis–Maldacena theory with gauge group [Formula: see text]. At six points we give the explicit form of numerators in terms of amplitudes, displaying the generalized gauge freedom that leads to amplitude relations. However, at eight points no amplitude relations follow from the duality, so the diagram numerators are fixed unique functions of partial amplitudes. We provide the explicit amplitude-numerator decomposition and the numerator relations for eight-point amplitudes.

scholarly journals Zeros of amplitude in the associated production of photon and leptoquark at $$\varvec{e}$$-$$\varvec{p}$$ collider

2021 ◽  
Vol 81 (4) ◽  
Author(s):  
Priyotosh Bandyopadhyay ◽  
Saunak Dutta ◽  
Anirban Karan
Keyword(s):  
Standard Model ◽  
Gauge Group ◽  
Single Photon ◽  
Tree Level ◽  
Associated Production ◽  
The Standard Model ◽  
Radiation Amplitude ◽  
Complementary Set

AbstractThough various extensions of the Standard Model with higher gauge group predict the existence of leptoquarks, none of them has been observed yet at any of the colliders. In this paper, we study the prospect of several past and future $$e$$ e -$$p$$ p colliders like HERA, LHeC and FCC-he to detect them through radiation amplitude zero. We find that the leptoquarks showing zeros in the tree-level single-photon amplitudes at $$e$$ e -$$p$$ p collider lie within the complementary set of those exhibiting zeros at e-$$\gamma $$ γ collider. We present a PYTHIA-based analysis for HERA, LHeC and FCC-he (run II) to detect the leptoquarks with masses 70 GeV, 900 GeV and 1.5 TeV (2.0 TeV) respectively through radiation amplitude zero.

scholarly journals Tree-level recursion relation and dual superconformal symmetry of the ABJM theory

2011 ◽  
Vol 2011 (3) ◽  
Author(s):  
Dongmin Gang ◽  
Yu-tin Huang ◽  
Eunkyung Koh ◽  
Sangmin Lee ◽  
Arthur E. Lipstein
Keyword(s):  
Recursion Relation ◽  
Tree Level ◽  
Abjm Theory ◽  
Superconformal Symmetry

scholarly journals A Z2 × Z2 ORIENTIFOLD WITH SPONTANEOUSLY BROKEN SUPERSYMMETRY

1999 ◽  
Vol 14 (36) ◽  
pp. 2487-2497 ◽  
Author(s):  
A. L. COTRONE
Keyword(s):  
Gauge Group ◽  
Tree Level ◽  
Chiral Model ◽  
Radiative Corrections

We present a Z2 × Z2 four-dimensional orientifold in which supersymmetry is broken by a temperature-like Scherk–Schwarz mechanism. As usual in this type of models, at the tree-level the breaking affects only the branes tangent to the direction involved by the SS deformation, and it can propagate only through radiative corrections to other sectors, where the gauge group is broken. The result is a non-chiral model with gauge group Usp (16)⊗2× Usp (8)⊗4.

scholarly journals A Sub-GeV Low Mass Hidden Dark Sector of SU(2)H × U(1)X

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Raymundo Ramos ◽  
Van Que Tran ◽  
Tzu-Chiang Yuan
Keyword(s):  
Dark Matter ◽  
Gauge Group ◽  
Parameter Space ◽  
Scalar Potential ◽  
Indirect Detection ◽  
Tree Level ◽  
Dark Matter Candidate ◽  
Dark Photon ◽  
Relic Density ◽  
Low Mass

Abstract We present a detailed study of the non-abelian vector dark matter candidate Wt with a MeV–GeV low mass range, accompanied by a dark photon A′ and a dark Z′ of similar masses, in the context of a gauged two-Higgs-doublet model with the hidden gauge group that has the same structure as the Standard Model electroweak gauge group. The stability of dark matter is protected by an accidental discrete Z2 symmetry (h-parity) which was usually imposed ad hoc by hand. We examine the model by taking into account various experimental constraints including dark photon searches at NA48, NA64, E141, ν-CAL, BaBar and LHCb experiments, electroweak precision data from LEP, relic density from Planck satellite, direct (indirect) detection of dark matter from CRESST-III, DarkSide-50, XENON1T (Fermi-LAT), and collider physics from the LHC. The theoretical requirements of bounded from below of the scalar potential and tree level perturbative unitarity of the scalar sector are also imposed. The viable parameter space of the model consistent with all the constraints is exhibited. While a dark Z′ can be the dominant contribution in the relic density due to resonant annihilation of dark matter, a dark photon is crucial to dark matter direct detection. We also demonstrate that the parameter space can be further probed by various sub-GeV direct dark matter experimental searches at CDEX, NEWS-G and SuperCDMS in the near future.

scholarly journals The simplest 3-3-1 model

2016 ◽  
Vol 31 (10) ◽  
pp. 1650062 ◽  
Author(s):  
Le Tho Hue ◽  
Le Duc Ninh
Keyword(s):  
Standard Model ◽  
Gauge Group ◽  
Electric Charge ◽  
Energy Scale ◽  
Tree Level ◽  
Simple Extension ◽  
Flavor Changing ◽  
The Standard Model ◽  
Custodial Symmetry ◽  
Free Parameters

A simple extension of the Standard Model (SM), based on the gauge group [Formula: see text] with [Formula: see text] being the hypercharge, is considered. We show that, by imposing an approximate global [Formula: see text] custodial symmetry at the SM energy scale, the [Formula: see text] mixing is absent at tree level and the value of the [Formula: see text] parameter can be kept close to one. Tree-level flavor-changing neutral currents (FCNCs) are also reduced to three particles, namely [Formula: see text], a CP-odd Higgs and a CP-even Higgs. The model predicts new leptons with electric charges of ±1/2e and new quarks with ±1/6e charges as well as new gauge and scalar bosons with ±1/2e charges. Electric charge conservation requires that one of them must be stable. Their masses are unfortunately free parameters.

scholarly journals Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT1

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
L. Bianchi ◽  
G. Bliard ◽  
V. Forini ◽  
L. Griguolo ◽  
D. Seminara
Keyword(s):  
Wilson Line ◽  
Conformal Symmetry ◽  
Tree Level ◽  
Abjm Theory ◽  
One Dimensional ◽  
Fundamental String ◽  
Single Function ◽  
Bootstrap Approach ◽  
Line Defects ◽  
The One

Abstract We study local operator insertions on 1/2-BPS line defects in ABJM theory. Specifically, we consider a class of four-point correlators in the CFT1 with SU(1, 1|3) super- conformal symmetry defined on the 1/2-BPS Wilson line. The relevant insertions belong to the short supermultiplet containing the displacement operator and correspond to fluctuations of the dual fundamental string in AdS4× ℂP3 ending on the line at the boundary. We use superspace techniques to represent the displacement supermultiplet and we show that superconformal symmetry determines the four-point correlators of its components in terms of a single function of the one-dimensional cross-ratio. Such function is highly constrained by crossing and internal consistency, allowing us to use an analytical bootstrap approach to find the first subleading correction at strong coupling. Finally, we use AdS/CFT to compute the same four-point functions through tree-level AdS2 Witten diagrams, producing a result that is perfectly consistent with the bootstrap solution.

scholarly journals The two-loop contributions to muon MDM in $$U(1)_X$$ SSM

2021 ◽  
Vol 81 (5) ◽  
Author(s):  
Lu-Hao Su ◽  
Shu-Min Zhao ◽  
Xing-Xing Dong ◽  
Dan-Dan Cui ◽  
Tai-Fu Feng ◽  
...  
Keyword(s):  
Experimental Data ◽  
Gauge Group ◽  
Analytical Calculation ◽  
New Physics ◽  
Light Neutrino ◽  
Tree Level ◽  
Seesaw Mechanism ◽  
Loop Diagram ◽  
Local Gauge ◽  
Effective Lagrangian

AbstractThe MSSM is extended to the $$U(1)_X$$ U ( 1 ) X SSM, whose local gauge group is $$SU(3)_C \times SU(2)_L \times U(1)_Y \times U(1)_X$$ S U ( 3 ) C × S U ( 2 ) L × U ( 1 ) Y × U ( 1 ) X . To obtain the $$U(1)_X$$ U ( 1 ) X SSM, we add the new superfields to the MSSM, namely: three Higgs singlets $${\hat{\eta }},~\hat{{\bar{\eta }}},~{\hat{S}}$$ η ^ , η ¯ ^ , S ^ and right-handed neutrinos $${\hat{\nu }}_i$$ ν ^ i . It can give light neutrino tiny mass at the tree level through the seesaw mechanism. The study of the contribution of the two-loop diagrams to the MDM of muon under $$U(1)_X$$ U ( 1 ) X SSM provides the possibility for us to search for new physics. In the analytical calculation of the loop diagrams (one-loop and two-loop diagrams), the effective Lagrangian method is used to derive muon MDM. Here, the considered two-loop diagrams include Barr-Zee type diagrams and rainbow type two-loop diagrams, especially Z–Z rainbow two-loop diagram is taken into account. The obtained numerical results can reach $$7.4\times 10^{-10}$$ 7.4 × 10 - 10 , which can remedy the deviation between SM prediction and experimental data to some extent.

scholarly journals Modular invariant holographic correlators for $$ \mathcal{N} $$ = 4 SYM with general gauge group

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Luis F. Alday ◽  
Shai M. Chester ◽  
Tobias Hansen
Keyword(s):  
Gauge Group ◽  
Flat Space ◽  
Closed Form Expression ◽  
Tree Level ◽  
Modular Invariant ◽  
Higher Derivative ◽  
S Matrix ◽  
Space Limit ◽  
Type Iib String Theory ◽  
General Gauge

Abstract We study the stress tensor four-point function for $$ \mathcal{N} $$ N = 4 SYM with gauge group G = SU(N), SO(2N + 1), SO(2N) or USp(2N) at large N . When G = SU(N), the theory is dual to type IIB string theory on AdS5× S5 with complexified string coupling τs, while for the other cases it is dual to the orbifold theory on AdS5× S5/ℤ2. In all cases we use the analytic bootstrap and constraints from localization to compute 1-loop and higher derivative tree level corrections to the leading supergravity approximation of the correlator. We give perturbative evidence that the localization constraint in the large N and finite complexified coupling τ limit can be written for each G in terms of Eisenstein series that are modular invariant in terms of τs ∝ τ, which allows us to fix protected terms in the correlator in that limit. In all cases, we find that the flat space limit of the correlator precisely matches the type IIB S-matrix. We also find a closed form expression for the SU(N) 1-loop Mellin amplitude with supergravity vertices. Finally, we compare our analytic predictions at large N and finite τ to bounds from the numerical bootstrap in the large N regime, and find that they are not saturated for any G and any τ , which suggests that no physical theory saturates these bootstrap bounds.

scholarly journals D-TERM DYNAMICAL SUPERSYMMETRY BREAKING GENERATING SPLIT ${\mathcal N} = 2$ GAUGINO MASSES OF MIXED MAJORANA–DIRAC TYPE

2012 ◽  
Vol 27 (26) ◽  
pp. 1250159 ◽  
Author(s):  
H. ITOYAMA ◽  
NOBUHITO MARU
Keyword(s):  
Gauge Theory ◽  
Supersymmetry Breaking ◽  
Explicit Form ◽  
Tree Level ◽  
Leading Order ◽  
Gap Equation ◽  
Four Dimensions ◽  
Hartree Fock ◽  
Self Consistent ◽  
Chiral Superfields

Under a few mild assumptions, [Formula: see text] supersymmetry (SUSY) in four dimensions is shown to be spontaneously broken in a metastable vacuum in a self-consistent Hartree–Fock approximation of Bardeen–Cooper–Schrieffer/Nambu–Jona-Lasinio (BCS/NJL) type to the leading order, in the gauge theory specified by the gauge kinetic function and the superpotential of adjoint chiral superfields, in particular, that possess [Formula: see text] extended SUSY spontaneously broken to [Formula: see text] at tree level. We derive an explicit form of the gap equation, showing the existence of a nontrivial solution. The [Formula: see text] gauginos in the observable sector receive mixed Majorana–Dirac masses and are split due to both the nonvanishing 〈D0〉 and 〈F0〉 induced with 〈D0〉. It is argued that proper physical applications and assessment of the range of the validity of our framework are made possible by rendering the approximation into [Formula: see text] expansion.

scholarly journals THE SU(2) ⊗ U(1) ELECTROWEAK MODEL BASED ON THE NONLINEARLY REALIZED GAUGE GROUP

2009 ◽  
Vol 24 (14) ◽  
pp. 2639-2654 ◽  
Author(s):  
D. BETTINELLI ◽  
R. FERRARI ◽  
A. QUADRI
Keyword(s):  
Gauge Group ◽  
Dimensional Regularization ◽  
Higgs Field ◽  
Landau Gauge ◽  
Tree Level ◽  
Subtraction Procedure ◽  
Local Functional ◽  
Weinberg Angle ◽  
Electroweak Model ◽  
Intermediate Vector

The electroweak model is formulated on the nonlinearly realized gauge group SU (2) ⊗ U (1). This implies that in perturbation theory no Higgs field is present. This paper provides the effective action at the tree level, the Slavnov–Taylor identity (necessary for the proof of physical unitarity), the local functional equation (used for the control of the amplitudes involving the Goldstone bosons) and the subtraction procedure (nonstandard, since the theory is not power-counting renormalizable). Particular attention is devoted to the number of independent parameters relevant for the vector mesons; in fact, there is the possibility of introducing two mass parameters. With this choice the relation between the ratio of the intermediate vector meson masses and the Weinberg angle depends on an extra free parameter. We briefly outline a method for dealing with γ5 in dimensional regularization. The model is formulated in the Landau gauge for sake of simplicity and conciseness. The QED Ward identity has a simple and intriguing form.

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