The observed imbalance between matter and anti-matter throughout the Universe could not be understood in the current framework of physics. This implies that there must be undiscovered physics that contains new particles and interactions. However, no new particles have been detected in the particle colliders. Another complementary way to test new physics is to measure the influence of the hypothetical particles on the properties of existing particles, for example, measuring the roundness of the electron. We aim at laser cooling and trapping heavy polar molecules and using the strong internal electric field of the molecules to precisely measure how round the electron is. This will shed light on the force that shaped the early Universe. In addition, the laser cooling techniques we develop will also advance the applications of ultracold molecules, including tests of fundamental physics, quantum simulation and quantum computation.