Corrections to Yukawa couplings from higher dimensional operators in a natural SUSY SO(10)\mathsf{SO(10)} and HL-LHC implications

We consider a class of unified models based on the gauge group $\mathsf{SO(10)}$ which with appropriate choice of Higgs representations generate in a natural way a pair of light Higgs doublets needed to accomplish electroweak symmetry breaking. In this class of models higher dimensional operators of the form matter-matter-Higgs-Higgs in the superpotential after spontaneous breaking of the GUT symmetry generate contributions to Yukawa couplings which are comparable to the ones from cubic interactions. Specifically we consider an $\mathsf{SO(10)}$ model with a sector consisting of $\mathsf{126+\overline{126} + 210}$ of heavy Higgs which breaks the GUT symmetry down to the standard model gauge group and a sector consisting of $2\times \mathsf{10+120}$ of light Higgs fields. In this model we compute the corrections from the quartic interactions to the Yukawa couplings for the top and the bottom quarks and for the tau lepton. It is then shown that inclusion of these corrections to the GUT scale Yukawas allows for consistency of the top, bottom and tau masses with experiment for low $\tan\beta$ with a value as low as $\tan\beta$ of 5$-$10. We compute the sparticle spectrum for a set of benchmarks and find that satisfaction of the relic density is achieved via a compressed spectrum and coannihilation and three sets of coannihilations appear: chargino-neutralino, stop-neutralino and stau-neutralino. We investigate the chargino-neutralino coannihilation in detail for the possibility of observation of the light chargino at the high luminosity LHC (HL-LHC) and at the high energy LHC (HE-LHC) which is a possible future 27 TeV hadron collider. It is shown that all benchmark models but one can be discovered at HL-LHC and all would be discoverable at HE-LHC. The ones discoverable at both machines require a much shorter time scale and a lower integrated luminosity at HE-LHC.Comment: 27 pages, 5 figures and 9 table

U.S. Trade in Information-Intensive Services

Trade in services has increased significantly and the United States has been a leader in services trade. The U.S. not only accounts for the largest share of world trade in private services but also runs a substantial amount of surplus in services trade. One important trend has been the rapid growth of U.S. trade in information-intensive services. This paper examines the growth and patterns in U.S. exports and imports of various information-intensive services. The analysis indicates that trade in business, professional, and technical services; financial services; and insurance has experienced the most rapid growth in recent times. This paper further discusses some of the intuitively plausible explanations for the growth of trade in information-intensive services.