The quantum theories of both gravity and electromagnetism require a recipe to specify how the constraint equations of the theory are implemented. Recently we argued that the standard procedure for implementing the Hamiltonian and momentum constraints in gravity and Gauss’ law in electromagnetism is unnecessarily restrictive. With a looser approach to quantization we find that, in the classical limit, a source for the non-dynamical parts of the field is generically present. These sources mimic the existence of pressureless dust -providing an explanation for the perceived dark matter in the universe.

The current precision on determining CKM matrix elements is below a per cent in several cases, and tensions between results are present, for example, in the Vus/Vud plane. Investigating that problem is essential for searching for new physics through weak decays. At this level of precision, a crucial ingredient is the determination of radiative corrections to pseudoscalar meson weak decays. Those have been computed mainly through effective field theories, which can have uncontrolled uncertainties. It is, therefore, important for lattice QCD+QED simulations to provide accurate predictions from first principles. In this talk, I will present various results, mainly from the UKQCD collaboration, illustrating several challenges faced when performing such calculations. The first calculation at physical quark masses of radiative corrections to kaon and pion was published in [1] after the pioneering work from [2]. A feature of [1] is an uncomfortably sizeable systematic error due to theoretical uncertainties on higher-order finite-size corrections. I will present our result and detail this issue based on the formalism established in [3]. I will conclude with future possible directions to address this problem.
[1]: https://doi.org/10.1007/JHEP02(2023)242
[2]: https://doi.org/10.1103/PhysRevD.100.034514
[3]: https://doi.org/10.1103/PhysRevD.105.074509

Light particles beyond the Standard Model may be produced in electron and positron beam dumps of the International Linear Collider (ILC).
We study capability of the ILC beam dump experiment to search for new physics, comparing the performance of the electron and positron beam dumps.
Firstly, the dark photon, axion-like particles, and light scalar bosons are considered as new physics scenarios. We find that the ILC beam dump experiment has higher sensitivity than past beam dump experiments, with the positron beam dump having slightly better performance for new physics particles which are produced by the electron-positron pair-annihilation.
We also propose an experimental setup to search for sub-GeV dark matter, the Beam-Dump eXperiment at the ILC (ILC-BDX). We study the production, decay and scattering of sub-GeV dark matter particles in several models with a dark photon mediator. Taking into account beam-related backgrounds due to neutrinos produced in the beam dump as well as the cosmic-ray background, we evaluate the sensitivity reach of the ILC-BDX experiment. We find that the ILC-BDX will be able to probe interesting regions of the model parameter space and, in many cases, reach well below the relic target.
This talk is based on the following papers: arXiv: 2105.13768 [hep-ph] and 2301.03816 [hep-ph].

Preserving the symmetries of massless fermions is a well-known challenge in lattice field theory. I’ll discuss symmetry-preserving lattice regularizations of 2d QED with one and two flavors of Dirac fermions, as well as the `3450′ chiral gauge theory. The construction leverages bosonization and recently-proposed modifications of Villain-type lattice actions. The internal global symmetries act just as locally on the lattice as they do in the continuum, the anomalies are reproduced at finite lattice spacing, and in each case we’ve found a sign-problem-free dual formulation.

In this talk, after reviewing the basics of the massive spinor helicity formalism, we introduce a momentum shift based on the helicity basis. This momentum shift allows an on-shell reconstruction of renormalizable theories with particles of any mass. As a demonstration of our method, we compute $e^+ e^- \to \mu^+ \mu^-$ and $W^+W^- \to W^+W^ $ amplitudes. An issue was raised on the former amplitude in literature and we see that, with our momentum shift, we can resolve the issue. In the latter case, we recover the correct amplitude, which contains the four-point contact interaction in terms of the Feynman diagrams, solely from the three-point amplitude. We see that this result is closely related to the Ward identity.

In this seminar, I will talk about how temperature observations of neutron stars provide a unique window to explore physics beyond the Standard Model of particle physics. Neutron stars, with their extreme environments, serve as natural laboratories for testing the limits of our physical understanding. The standard cooling theory, which accounts for the cooling of isolated neutron stars through neutrino and electromagnetic radiation, generally aligns with observational data. However, the presence of hypothetical particles such as axions and dark matter, predicted by theories that extend the Standard Model, could alter this cooling behavior. Axions, for example, increase cooling rates, while dark matter interactions could lead to additional heating. By comparing revised theoretical predictions with observed temperature evolution, we might explore signs of these elusive particles. This talk is based on the following papers: arXiv:2309.02633, 2308.16066, 2204.
02413, 2204.02238, 2008.03924, 1905.02991, 1904.04667, 1806.07151.

Particulate dark matter (DM), completely isolated from the Standard Model particle sector, can be produced in the early Universe from primordial black hole (PBH) evaporation. However, big bang nucleosynthesis (BBN) observations put an upper bound on the initial mass of PBH requiring the PBH to evaporate completely before the advent of BBN. DM particles in the mass range ∼(1–10^9)GeV cannot explain the observed relic abundance for an early matter dominated universe due to this BBN constraint. However, this assumes the presence of only one monochromatic PBH mass distribution in the early Universe. In this talk, we will explore the simple possibility of achieving the observed relic with DM masses from the above mentioned range for an early matter dominated era with two monochromatic evaporating PBH mass distributions and demonstrate that the fermionic DM masses consistent with BBN change slightly.

t is known that the 2+1d single Majorana fermion theory has an anomaly of the reflection, which is canceled out when 16 copies of the theory are combined. Therefore, it is expected that the reflection symmetric boundary condition is impossible for one Majorana fermion, but possible for 16 Majorana fermions. In this study, we consider a reflection symmetric boundary condition that varies at a single point, and find that there is a problem with one Majorana fermion. The problem is the absence of a corresponding outgoing wave to a specific incoming wave into the boundary, which leads to the non-conservation of the energy. For 16 Majorana fermions, it is possible to connect every incoming wave to an outgoing wave without breaking the reflection symmetry. In addition, we discuss the connection with the fermion-monopole scattering in 3+1 dimensions. This talk is based on arXiv:2306.10845.

https://www-conf.kek.jp/kincha/

The Belle II collaboration recently announced that they observed the B → Kνν decay process for the first time. This dineutrino mode of B+ → K+ν¯ν has been theoretically identified as a very clean channel. However, their result encounters a 2.8σ deviation from the Standard Model (SM) calculation. On the other hand, last year, Fermilab released new data on muon (g − 2) away from the SM expectation with 5σ. In this talk, we will study the simplest UV-complete U(1)Lµ−Lτ -charged Dark Matter (DM) model.
Thanks to the existence of dark Higgs boson and dark photon in this model, we can explain the observed relic density of DM and resolve the anomalous results reported by both Belle II and Fermilab experiments simultaneously without any modification of the thermal history of the Universe.