Search for Sphalerons in Proton-Proton Collisions

In view of new possibilities becoming more realistic with FCC design and of recent promising results regarding $(B+L)$-violating processes detection we concentrated our research on generation and analysis of sphaleron transitions. The existence of instanton and sphaleron solutions which are associated with transitions between different vacuum states is well known since 1980s. However first calculations of instanton rate killed any hope to detect them even at very high energies while the calculation of sphaleron transitions rate is a tricky problem which continue being widely discussed. In our research we used HERBVI package to generate baryon- and lepton-number violating processes in proton-proton collisions at typical energies 14, 33, 40 and 100 TeV in order to estimate the upper limit on the sphaleron cross-section. We considered the background processes and determined the zero background regions.