The Hierarchy Problem

Bending the anti-de Sitter metric near the infrared brane generates a large Higgs wave-function renormalization that suppresses the S and T parameters, lowering the Kaluza-Klein mass bound to roughly 1 TeV.

arxiv:1103.1388 · hep-ph · 2011-03

A perspective on the post-Higgs era, advocating precision measurements, diverse experiments, theoretical risk-taking, and a candid public case for fundamental science without promising guaranteed discoveries.

arxiv:2611.11458 · hep-ph · 2026-11

Imposing classical conformality plus the one-loop Veltman condition on a simple SM extension yields a Higgs mass of 126 GeV and a 541 GeV singlet scalar, both computed from measured SM couplings rather than fitted.

arxiv:1310.0957 · hep-ph · 2013-10

Twenty contributed studies from the 2013 Les Houches New Physics working group cover Higgs coupling fits, vector-like quark and composite Higgs benchmarks, SUSY constraints, flavour observables and dark matter, including three new public codes and several preliminary collider sensitivity estimates.

arxiv:1405.1617 · hep-ph · 2014-05

The review argues that fermion masses and mixing angles can be organized by a single map with order-one inputs, realizable in many frameworks including SU(5) and SO(10) unification, but that no compelling symmetry principle has emerged.

arxiv:1503.04071 · hep-ph · 2015-03

Two-loop RGEs and global fits show that a stable Two-Higgs-Doublet model up to the Planck scale requires quartic couplings below about 1 and pushes the heavy Higgs masses above 340 to 360 GeV in type II and Y.

arxiv:1503.08216 · hep-ph · 2015-03

A CNRS workshop position paper identifies semantic alignment and computational cost as the two core challenges of neurosymbolic AI, and argues that differentiability, independence, and scalability objections are misconceptions.

arxiv:2611.09356 · cs.AI · 2026-11

A neutral CP-even scalar of a 3-3-1 gauge model, coupled to photons and gluons through vector-like fermion loops, is offered as the source of the 750 GeV diphoton excess.

arxiv:1512.07165 · hep-ph · 2015-12

A twin Higgs model whose hidden sector uses vector-like top partners is anomaly-free without twin leptons, keeps the weak scale natural at one loop, and predicts twin glueball decays at the LHC.

arxiv:1601.07181 · hep-ph · 2016-01

A two-intermediate-brane Randall-Sundrum model places TeV spin-0, spin-1 and spin-2 resonances within LHC reach while keeping them flavor-safe, and predicts order-one decay-rate deviations if Higgs compositeness sits near 10 TeV.

arxiv:1608.00526 · hep-ph · 2016-08

Including the Weyl-squared term in scale-invariant inflation suppresses the tensor-to-scalar ratio by a factor (1 + 2H^2/M2^2), which makes planckion-driven quadratic inflation compatible with Planck bounds when the ghost mass M2 is below the Hubble scale.

arxiv:1703.08012 · astro-ph.CO · 2017-03

The relaxion can be the dark matter: after reheating it is displaced from its minimum and, once the electroweak barrier returns, it oscillates coherently, filling the observed relic density for masses below about 10^-7 eV.

arxiv:1810.01889 · hep-ph · 2018-10

FCC-ee electroweak precision measurements can probe vector-like fermion flavour chains up to 100 TeV, testing the Higgs naturalness parameter space.

arxiv:2611.05464 · hep-ph · 2026-11

Optimistic dynamic programming achieves near-optimal regret for stochastic online optimization without stochastic-dominance monotonicity, with the regret governed by level-set complexity.

arxiv:2611.02739 · cs.LG · 2026-11

Ultralight flavon or modulus exchange can shift the neutrino mass matrix enough to move solar oscillation parameters, but only in narrow, fine-tuned corners of the flavour-model parameter space.

arxiv:2003.13448 · hep-ph · 2020-03

Quantum search, phase estimation, and Hamiltonian simulation are all instances of the quantum singular value transformation, differing only in the chosen polynomial and phase angles.

arxiv:2105.02859 · quant-ph · 2021-05

A first-order phase transition in the mirror twin Higgs dark sector reproduces the pulsar-timing gravitational-wave background and, through the same parameters, eases the H0 and S8 tensions.

arxiv:2306.16769 · astro-ph.HE · 2023-06

A new strong sector (SU(7) x SU(2) supercolor plus SU(3) R-color) dynamically breaks supersymmetry at multi-TeV energies and feeds the breaking to the MSSM through gauge loops, giving calculable, flavor-degenerate superpartner masses without a dangerous axion.

arxiv:hep-ph/9303230 · hep-ph · 1993-03

Observed neutrino masses, combined with the see-saw mechanism and the leptogenesis requirement for baryogenesis, imply right-handed neutrino masses above roughly 10^7 GeV and therefore a Higgs hierarchy problem, independent of grand unification.

arxiv:hep-ph/9709409 · hep-ph · 1997-09

Electroweak precision data imply a light Higgs and a high new-physics cutoff, creating a naturalness tension the authors call the LEP paradox, which they argue only low-scale supersymmetry resolves.

arxiv:hep-ph/0007265 · hep-ph · 2000-07

A pedagogical survey of brane-world models in which extra dimensions are large or infinite, covering how matter is trapped on a brane and what observable signatures large, warped or infinite extra dimensions would produce.

arxiv:hep-ph/0104152 · hep-ph · 2001-04

A Z2 parity on new TeV-scale particles, realized in an explicit three-site little Higgs model, forbids tree-level precision-electroweak operators while preserving loop-level cancellation of the Higgs mass quadratic divergence.

arxiv:hep-ph/0308199 · hep-ph · 2003-08

A pedagogical survey of brane and extra-dimension model building, covering large flat dimensions, split fermions, gaugino mediation, orbifold symmetry breaking, and the Randall-Sundrum warped solution with its graviton and radion phenomenology.

arxiv:hep-ph/0404096 · hep-ph · 2004-04

Strong small-N conformal field theories with an electroweak order parameter of dimension 1 + epsilon, epsilon of order 1/few, can decouple flavor and keep the S parameter small, at the price of assuming such theories exist.

arxiv:hep-ph/0409274 · hep-ph · 2004-09

Little Higgs models can keep the Higgs light up to a 10 TeV cutoff by collective symmetry breaking, and they predict TeV-scale partner particles whose LHC signatures and coupling relations are catalogued here.

arxiv:hep-ph/0512128 · hep-ph · 2005-12

A large number of gravitationally coupled particle species lowers the quantum gravity scale to about M_Planck/sqrt(N), and micro black holes retain a fading memory of the species that made them, so LHC black holes decay mainly into Standard Model particles.

arxiv:0710.4344 · hep-th · 2007-10

A scale-invariant Standard Model plus one complex singlet admits a version with maximal spontaneous CP violation that stays perturbative to the Planck scale without large coupling hierarchies.

arxiv:1006.5916 · hep-ph · 2010-06

A non-universal Higgs mass MSSM region with large top-squark mixing can reach 3 to 10 percent electroweak fine-tuning while yielding a 125 GeV Higgs and TeV-scale stops.

arxiv:1212.2655 · hep-ph · 2012-12

Naturalness for a charged scalar is incompatible with the weak gravity conjecture unless the gauge symmetry is Higgsed or new physics appears at a cutoff of order the charge times the Planck mass.

arxiv:1402.2287 · hep-ph · 2014-02

A comprehensive pedagogical review of composite pseudo-Nambu-Goldstone Higgs models, covering symmetry foundations and flavor, collider, and electroweak precision phenomenology.

arxiv:1506.01961 · hep-ph · 2015-06

Postulating N copies of the Standard Model with Higgs masses spread across the cutoff generically leaves one sector at the observed weak scale, and a light reheaton that preferentially decays into it makes the picture cosmologically viable and testable.

arxiv:1607.06821 · hep-ph · 2016-07

Black holes have zero tidal Love numbers in classical general relativity, and the author argues this unexplained vanishing makes fifth post-Newtonian gravitational-wave measurements a probe of new spacetime physics.

arxiv:1606.08895 · gr-qc · 2016-06

The clockwork mechanism, which generates exponentially suppressed interactions from order-one parameters, is generalized to all spin types and shown to have a continuum limit identical to a five-dimensional linear dilaton geometry.

arxiv:1610.07962 · hep-ph · 2016-10

Splitting SU(3) color into N product factors at a high scale lets N axions jointly relax the QCD theta angle to zero, producing axions much heavier than the standard QCD axion.

arxiv:1710.04213 · hep-ph · 2017-10

Searching for adversarial examples in a GAN's latent space, rather than in input space, produces perturbations that look like natural data and can be used to compare black-box classifiers without labels.

arxiv:1710.11342 · cs.LG · 2017-10

A comprehensive 2018 review of why many beyond-Standard-Model theories predict long-lived particles, how collider detectors can see them, what has been excluded so far, and what future experiments could add.

arxiv:1810.12602 · hep-ph · 2018-10

Axion couplings can be hierarchically separated, and the review argues those hierarchical regions are both the most experimentally accessible and naturally produced by a landscape of many axions.

arxiv:2012.05029 · hep-ph · 2020-12

A structured survey of mixture-of-experts methods in large language models, organized by gating design, expert architecture, distributed-system support, and application domain, with comparison tables of published models.

arxiv:2407.06204 · cs.LG · 2024-06

The winning-strategy decision problem for single-Queen n-Hive is EXPTIME-complete.

arxiv:2610.15654 · cs.CC · 2026-10

A constructive operator-based proof shows O(1)-round quantum-LOCAL algorithms for coloring cycles, maximal independent set, and maximal matching, resolving the long-open question of natural distributed quantum advantage.

arxiv:2609.26788 · quant-ph · 2026-09

The quantum separability problem in an approximate NP formulation (QSEP) is Turing-NP-complete, and a weak separation variant is strongly NP-hard for all dimensions 2 ≤ N ≤ M.

arxiv:quant-ph/0603199 · quant-ph · 2006-03

A strongly-coupled supersymmetric extension with an extra singlet allows stop masses above 2 TeV with small fine-tuning, so supersymmetry may still solve the hierarchy problem even if the LHC finds no superpartners.

arxiv:hep-ph/0603229 · hep-ph · 2006-03

Low-scale mirage mediation requires the SUSY-breaking uplift sector to have effective modular weight r_X = -1, which would become strongly coupled in the decompactification limit.

arxiv:hep-ph/0604192 · hep-ph · 2006-04

A thesis combining a comprehensive review of the hierarchy problem with original work on neutral naturalness and a speculative new solution using noncommutative field theory.

arxiv:2009.11870 · hep-ph · 2020-09

The Hierarchy Problem is reframed as ignorance of the physical mechanism behind the Higgs boson, not as a formal mathematical inconsistency.

arxiv:2505.00694 · hep-ph · 2025-05

A scale-invariant model with a high-scale SO(6) custodial symmetry generates the electroweak scale radiatively and protects the Higgs mass as a pseudo-Goldstone boson, predicting a heavy Z' and a light dilaton.

arxiv:2505.08776 · hep-ph · 2025-05

For D=2n Starobinsky inflation, the shift in the spectral index and tensor-to-scalar ratio caused by an extra R^m term shrinks as the spacetime dimension increases, relaxing the constraints on that term's coefficient.

arxiv:1908.09486 · hep-th · 2019-08

A review of theoretical paradigms, from pNGB Higgs to SUSY, that attempt to explain the smallness of the Higgs mass.

arxiv:2412.15744 · hep-ph · 2024-12

For every n, the SL_n quantum trace maps for different ideal triangulations are related by a balanced n-th root quantum coordinate change that extends the Fock-Goncharov isomorphism.

arxiv:2412.16959 · math.QA · 2024-12

A composite Higgs model in which dark matter mass and a light scalar mediator both arise from hypercolor dynamics, giving velocity-dependent self-interacting dark matter with a claimed viable thermal relic.

arxiv:2412.19371 · hep-ph · 2024-12

A quantum extension of the low-degree method shows that state designs imply computational hardness for many single-copy quantum measurement strategies, yielding new information-computation gaps.

arxiv:2505.22743 · quant-ph · 2025-05

An optimized Franz-Parisi hardness criterion is proven equivalent to statistical query lower bounds under a verifiable correlation assumption, yielding new average-case hardness results for mixed sparse regression and convex truncation.

arxiv:2506.06259 · math.ST · 2025-06

In today's collider landscape, particle physics models that are ad hoc, narrow, and complex can be rationally pursued when they are radically novel or immediately testable.

arxiv:2507.03565 · physics.hist-ph · 2025-07

The authors introduce P^NP-kernels, show they are equivalent to membership in FPT^NP, and provide a lower-bound framework plus applications to logic and graph problems.

arxiv:2508.10550 · cs.CC · 2025-08

The abstract claims a new multimodal math reasoning system, but the body is an unrelated tensor-optimization paper, leaving every claim unverifiable.

arxiv:2508.10433 · cs.AI · 2025-08

Neutrino data rule out the Majorana realization of N-naturalness with up to 10^4 sectors and fine-tuning r ≥ 0.1, including the no-fine-tuning GUT benchmark.

arxiv:2607.14243 · hep-ph · 2026-07

Nonlocal Källén-Lehmann spectral densities in the Higgs sector yield exponentially suppressed scattering amplitudes above Λ_NL and suppress the real part of the Higgs self-energy at p² ~ -Λ²_NL, solving the hierarchy problem and testable via LHC global fits.

arxiv:2605.25015 · hep-ph · 2026-05

GW-DPO with bilateral weighting improves macro pairwise priority adherence on Llama-3.1-8B-Instruct over standard DPO while halving over-refusal rates.

arxiv:2606.10860 · cs.CR · 2026-06

Partial compositeness in the minimal fundamental partial compositeness (MFPC) model explains B-meson flavour anomalies while also solving the SM naturalness problem.

arxiv:1907.05158 · hep-ph · 2019-07

Classically conformal SU(2)_X model with triplet dark scalar yields viable WIMP and supercooled DM parameter spaces whose production histories are set by the model's first-order phase transition, with gravitational waves as a common probe.

arxiv:2603.09126 · hep-ph · 2026-03

Proves NP- and ΣP2-completeness for variants of a graph game modeling defender controller placement against vertex attacks, with polynomial algorithms for interval graphs and bounded treewidth.

arxiv:2605.17572 · cs.CC · 2026-05

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.

arxiv:2506.05472 · hep-ph · 2025-06

Conjugate and transpose queries to quantum oracles provide strictly more power than forward and inverse queries alone for certain decision problems and cryptographic tasks.

arxiv:2510.07622 · quant-ph · 2025-10

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.

arxiv:2512.11026 · hep-ph · 2025-12

The paper gives O(log n) and O(log n/log log n) approximation algorithms for revenue-optimal fare zone assignment on trees, exact solutions for rooted instances, and hardness results including APX-hardness on stars and strong NP-hardness on paths.

arxiv:2512.19493 · cs.DS · 2025-12

A boundary-anchored brick wall definition in holography matches 't Hooft thermodynamics for BTZ but shows a slightly subleading area-law coefficient in the exact partition function unless the cutoff is trans-Planckian or extra species are added.

arxiv:2603.23108 · hep-th · 2026-03