Complete one-loop matching of the general MSSM onto SMEFT in the Warsaw basis, including all SUSY-governed correlations among Wilson coefficients.
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A Supersymmetry Primer
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abstract
I provide a pedagogical introduction to supersymmetry. The level of discussion is aimed at readers who are familiar with the Standard Model and quantum field theory, but who have had little or no prior exposure to supersymmetry. Topics covered include: motivations for supersymmetry, the construction of supersymmetric Lagrangians, superspace and superfields, soft supersymmetry-breaking interactions, the Minimal Supersymmetric Standard Model (MSSM), R-parity and its consequences, the origins of supersymmetry breaking, the mass spectrum of the MSSM, decays of supersymmetric particles, experimental signals for supersymmetry, and some extensions of the minimal framework.
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representative citing papers
Exact fermionic bubble loop signals in cosmological collider physics are obtained via spectral and Mellin-Barnes methods, with the Yukawa bispectrum vanishing identically due to field redefinition.
Viable μNMSSM regions can fit the 95 GeV diphoton/bb anomalies and produce H→hhs and A2→hA1→4b cascades near the 650 and (600,400) GeV CMS structures.
A Z4 × Z3 discrete gauge symmetry in the SM requires three new Majorana fermions whose lightest member is stable DM with mass from a singlet scalar VEV near the electroweak scale, enabling WIMP freeze-out via scalar-mediated annihilation.
A double right-handed U(1) gauge extension generates the Standard Model fermion mass hierarchy at tree and loop levels and stabilizes a viable scalar singlet dark matter particle consistent with relic density and direct detection bounds.
No weak scale triggers exist in the SMEFT up to dimension six (and likely eight) that can solve the hierarchy problem far above the weak scale.
A gauged, flavor-specific U(1)_X two-Higgs-doublet model can realize the axial-vector Z' couplings needed to explain the ATOMKI 8Be and 4He anomalies while evading current bounds.
A unified Lagrangian framework connects supersymmetric and non-supersymmetric scalar-fermion theories and supplies Ward identities that simplify computations of anomalous dimensions in the non-supersymmetric case.
Radiative barriers in SUSY flat directions enable supercooled PTs yielding Ω_GW h² up to ~3e-10 for M_λ̃/v_X in 0.05-0.23, with the hidden sector also reproducing Ω_CDM h²=0.12 for m_q ~30-800 keV.
Gravitino masses in the 100 TeV to 10^10 TeV range can be inferred from two frequency features in the stochastic gravitational wave spectrum produced by an early matter-dominated phase.
ANUBIS offers the highest projected sensitivity for detecting single-photon signatures from long-lived neutralinos at the LHC among several remote detector proposals, based on six benchmark scenarios.
Scaling and non-overlapping global symmetries produce RGIs for bilinear operators to all loops via scale-invariant field directions, demonstrated in non-SUSY models including the 2HDM.
The Hierarchy Problem splits into Intrinsic (RG-induced cutoff sensitivity) and Extrinsic (UV augmentation making IR theory appear finetuned) versions, with the latter formalized as a paradox whose solutions are classified by premise violations.
A Higgs-assisted razor search with ML for Higgsino NLSPs decaying to Bino LSP via Z/h at 100 TeV projects 5σ discovery to 1.4 TeV Higgsino mass (Bino ~0.9 TeV) with 3000 fb^{-1}.
Magnetized SYM on (T^2)^3/(Z_2 x Z'_2) with 7-branes, fluxes, and Wilson lines produces MSSM chiral fields and semi-realistic hierarchical Yukawas for quarks and leptons.
A spectator scalar field with strong portal coupling to the inflaton sources a stochastic gravitational wave background reaching Ω_GW h² ∼ 10^{-11} at frequencies 10^7-10^8 Hz for benchmark parameters σ/λ ≃ 10^4 and T_reh = 2×10^{14} GeV.
Corrected reality conditions on the 10 and 120 Higgs representations in minimal SO(10) allow the Yukawa sector to fit all fermion masses and mixings while predicting a hierarchical right-handed neutrino spectrum and proton decay modes testable in upcoming experiments.
Anomaly-free discrete R-symmetries plus Kim-Nilles regeneration of the mu term force an accidental U(1)_PQ whose spontaneous breaking yields a SUSY DFSZ axion that solves strong CP.
MCMC scan of bilinear RPV SUSY parameters constrained by neutrino data yields branching ratios that set LHC exclusions of wino-like χ̃1±/χ̃10 up to 565 GeV now and 950 GeV at HL-LHC for the best-fit point.
Deep learning on calorimeter information achieves approximately 4.5 sigma significance for detecting NMSSM heavy Higgs chain decays in vector boson fusion with 300 fb^{-1} luminosity.
In supersymmetric DFSZ axion models, the LHC with 140 fb^{-1} can probe axion decay constants below 10^{11} GeV for higgsino masses under 1 TeV via displaced neutralino decays to axino LSPs.
Analysis of the NMSSM shows that the 125 GeV Higgs is not expected to be exactly SM-like, with deviations in signal strengths that can be correlated or anti-correlated between bosonic and fermionic channels.
No significant excess observed; gauginos excluded up to 1.2 TeV in specific supersymmetric decay scenarios.
A review summarizing current observational, experimental, and theoretical results on dark matter.
citing papers explorer
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SUSY meets SMEFT: Complete one-loop matching of the general MSSM
Complete one-loop matching of the general MSSM onto SMEFT in the Warsaw basis, including all SUSY-governed correlations among Wilson coefficients.
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Fermionic Bubble Loop in Cosmological Collider Revisited: Exact signals from spectral and Mellin-Barnes methods
Exact fermionic bubble loop signals in cosmological collider physics are obtained via spectral and Mellin-Barnes methods, with the Yukawa bispectrum vanishing identically due to field redefinition.
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Interpreting Light Scalar Excesses and Heavy Scalar Cascades in the $\mu$-Term Extended NMSSM
Viable μNMSSM regions can fit the 95 GeV diphoton/bb anomalies and produce H→hhs and A2→hA1→4b cascades near the 650 and (600,400) GeV CMS structures.
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WIMP Dark Matter from a Natural Discrete Gauge Symmetry in the Standard Model
A Z4 × Z3 discrete gauge symmetry in the SM requires three new Majorana fermions whose lightest member is stable DM with mass from a singlet scalar VEV near the electroweak scale, enabling WIMP freeze-out via scalar-mediated annihilation.
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Physical implications of a double right-handed gauge symmetry
A double right-handed U(1) gauge extension generates the Standard Model fermion mass hierarchy at tree and loop levels and stabilizes a viable scalar singlet dark matter particle consistent with relic density and direct detection bounds.
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Weak Scale Triggers in the SMEFT
No weak scale triggers exist in the SMEFT up to dimension six (and likely eight) that can solve the hierarchy problem far above the weak scale.
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Flavor specific chiral $U(1)_X$ framework for explaining the ATOMKI anomaly
A gauged, flavor-specific U(1)_X two-Higgs-doublet model can realize the axial-vector Z' couplings needed to explain the ATOMKI 8Be and 4He anomalies while evading current bounds.
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Connecting Supersymmetry to Non-Supersymmetric theories: the Gross-Neveu-Yukawa example
A unified Lagrangian framework connects supersymmetric and non-supersymmetric scalar-fermion theories and supplies Ward identities that simplify computations of anomalous dimensions in the non-supersymmetric case.
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Natural Supercooling and Reheating along Supersymmetric Flat Directions and Observable Gravitational Waves at the Einstein Telescope and the Cosmic Explorer
Radiative barriers in SUSY flat directions enable supercooled PTs yielding Ω_GW h² up to ~3e-10 for M_λ̃/v_X in 0.05-0.23, with the hidden sector also reproducing Ω_CDM h²=0.12 for m_q ~30-800 keV.
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Whispers of Supergravity in Gravitational Wave Backgrounds: Determining the Gravitino Mass from Cosmic Thermal History
Gravitino masses in the 100 TeV to 10^10 TeV range can be inferred from two frequency features in the stochastic gravitational wave spectrum produced by an early matter-dominated phase.
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The Single Photon Signature of a Light Long-lived Neutralino at Remote Detectors at the LHC
ANUBIS offers the highest projected sensitivity for detecting single-photon signatures from long-lived neutralinos at the LHC among several remote detector proposals, based on six benchmark scenarios.
-
Renormalisation Group Invariants from Scaling and Non-overlapping Symmetries
Scaling and non-overlapping global symmetries produce RGIs for bilinear operators to all loops via scale-invariant field directions, demonstrated in non-SUSY models including the 2HDM.
-
The Intrinsic and Extrinsic Hierarchy Problems
The Hierarchy Problem splits into Intrinsic (RG-induced cutoff sensitivity) and Extrinsic (UV augmentation making IR theory appear finetuned) versions, with the latter formalized as a paradox whose solutions are classified by premise violations.
-
Higgs Assisted Razor Search for Higgsinos at a 100 TeV pp Collider
A Higgs-assisted razor search with ML for Higgsino NLSPs decaying to Bino LSP via Z/h at 100 TeV projects 5σ discovery to 1.4 TeV Higgsino mass (Bino ~0.9 TeV) with 3000 fb^{-1}.
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MSSM flavors from 7-brane configurations of magnetized SYM on $R^{1,3} \times (T^2)^3/(Z_2 \times Z'_2)$
Magnetized SYM on (T^2)^3/(Z_2 x Z'_2) with 7-branes, fluxes, and Wilson lines produces MSSM chiral fields and semi-realistic hierarchical Yukawas for quarks and leptons.
-
Gravitational Waves from Matter Perturbations of Spectator Scalar Fields
A spectator scalar field with strong portal coupling to the inflaton sources a stochastic gravitational wave background reaching Ω_GW h² ∼ 10^{-11} at frequencies 10^7-10^8 Hz for benchmark parameters σ/λ ≃ 10^4 and T_reh = 2×10^{14} GeV.
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Reality-constrained Minimal Yukawa Structure in SO(10) GUT
Corrected reality conditions on the 10 and 120 Higgs representations in minimal SO(10) allow the Yukawa sector to fit all fermion masses and mixings while predicting a hierarchical right-handed neutrino spectrum and proton decay modes testable in upcoming experiments.
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Serendipitous supersymmetric solution to the strong CP problem
Anomaly-free discrete R-symmetries plus Kim-Nilles regeneration of the mu term force an accidental U(1)_PQ whose spontaneous breaking yields a SUSY DFSZ axion that solves strong CP.
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Complementary probes of Bilinear RPV SUSY models with a wino-like LSP via Neutrino Oscillation and LHC
MCMC scan of bilinear RPV SUSY parameters constrained by neutrino data yields branching ratios that set LHC exclusions of wino-like χ̃1±/χ̃10 up to 565 GeV now and 950 GeV at HL-LHC for the best-fit point.
-
Machine Learning Enhanced Detection of Higgs Chain Decays in Vector Boson Fusion
Deep learning on calorimeter information achieves approximately 4.5 sigma significance for detecting NMSSM heavy Higgs chain decays in vector boson fusion with 300 fb^{-1} luminosity.
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Bridging the divide: axion searches and axino phenomenology at colliders
In supersymmetric DFSZ axion models, the LHC with 140 fb^{-1} can probe axion decay constants below 10^{11} GeV for higgsino masses under 1 TeV via displaced neutralino decays to axino LSPs.
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Is the observed 125 GeV Higgs boson expected to be SM-like in the NMSSM?
Analysis of the NMSSM shows that the 125 GeV Higgs is not expected to be exactly SM-like, with deviations in signal strengths that can be correlated or anti-correlated between bosonic and fermionic channels.
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Search for signatures of electroweakinos with photons, jets, and large missing transverse momentum in $\sqrt{s}=13$ TeV pp collisions with the ATLAS detector
No significant excess observed; gauginos excluded up to 1.2 TeV in specific supersymmetric decay scenarios.
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Dark Matter
A review summarizing current observational, experimental, and theoretical results on dark matter.
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Semileptonic and leptonic B decay results from early Belle II data
Early Belle II commissioning data is used to re-measure standard B to X lepton neutrino and B to D* lepton neutrino decays and to evaluate machine learning tagging algorithms for future lepton flavor universality tests.
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Lectures on Naturalness, String Landscape and Multiverse
Lecture notes providing a technical introduction to naturalness problems and the string theory landscape for graduate students.
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Calculating $\beta$-function coefficients of Renormalization Group Equations
A pedagogical review that reproduces step-by-step calculations of beta-function coefficients for RGEs from known formulae in the literature.
- A Crash Course in Supersymmetric Field Theory Across Dimensions