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The quasi-fixed Minimal Supersymmetric Standard Model
Institution:1. Service de Physique Théorique, Université Libre de Bruxelles, Bruxelles 1050, Belgium;2. Rutherford Appleton Laboratory, Chilton, Didcot OX11 0QX, UK;1. Mechanical Engineering, Istinye University, Istanbul, Türkiye;2. Department of Mechanical and Robotic Engineering, School of Engineering and Technology, Walailak University, Thasala, Nakhon Si Thammarat 80160, Thailand;3. Department of Civil Engineering, Faculty of Engineering, Hakim Sabzevari University, Iran;4. School of Computing, Engineering and Mathematical Sciences, La Trobe University, Bundoora 3086, VIC, Australia;1. Department of Environmental Engineering, Pusan National University, 2 Busandaehak-ro 63beon-gil, Geumjeong-gu, Busan 46241, Republic of Korea;2. Resources Utilization Division, Korea Institute of Geoscience and Mineral Resources, 124 Gwahak-ro, Yuseong-gu, Daejeon 34132, Republic of Korea;3. Department of Resources Engineering, Korea University of Science and Technology, 217 Gajeong-ro, Yuseong-gu, Daejeon 34113, Republic of Korea;1. Departamento en Física, Universidad de Sonora, Hermosillo, Sonora, 83000, Mexico;2. CONACYT-Benemérita Universidad Autónoma de Puebla, Postgrado en Física Aplicada, Facultad de Ciencias Físico-Matemáticas, Av. San Claudio y Av. 18 sur, Col. San Manuel Ciudad Universitaria, Puebla, Pue. C. P. 72570, Mexico;3. Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, P.O. Box 55-534, México, D.F. 09340, Mexico;4. Benemérita Universidad Autónoma de Puebla, Postgrado en Física Aplicada, Facultad de Ciencias Físico-Matemáticas, Av. San Claudio y Av. 18 sur, Col. San Manuel Ciudad Universitaria, Puebla, Pue. C. P. 72570, Mexico;5. Departamento de Investigación en Física de la Universidad de Sonora, Edificio 3I, Blvd., Luís Encinas s/n, Col. Centro, 83000 Hermosillo, Sonora, Mexico;1. University of Rome Sapienza, via Eudossiana 18, 00183 Rome, Italy;2. Institute of Technology, Federal University of Para, Rua Augusto Correa 01, 66075-110 Belem, Brazil;3. UCLA, University of California, Los Angeles, CA 90095, USA
Abstract:The infra-red fixed points are determined for all the parameters of the MSSM. They dominate the renormalisation group running when the top-Yukawa is in the quasi-fixed point regime (i.e. large at the GUT scale). We examine this behaviour analytically, by solving the full set of one-loop renormalisation group equations in the approximation that the electroweak contributions are negligible, and also numerically. We find the quasi-fixed points for the top-quark trilinear couplings; AUα3=AU3α=−0.59mg independently of the input parameters at the unification scale. All the remaining parameters are significantly focused towards their true fixed points at the weak scale. We examine how this increases the predictivity of the MSSM in this regime.
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