A Theoretical upper bound on the mass scale of superpartners

Brahmachari, Biswajoy

A Theoretical upper bound on the mass scale of superpartners

Biswajoy Brahmachari
(
- Vidyasagar Evening Coll.
)

Jul, 2005

8 pages

e-Print:

hep-ph/0507026 [hep-ph]

Report number:

VEC-PHYSICS-P-2-2004-2005

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Abstract:

If N=2 supersymmetry breaks to N=1 supersymmetry at an intermediate scale

m_2

and then, later on, N=1 supersymmetry breaks and produces standard model at a scale

m_{susy}

such that

m_2 > m_{susy}

, renormalization group evolution of three gauge couplings are altered above the scale

m_2

, changing the unification scale and the unified coupling. We show that when we enforce this general condition

m_2 > m_{susy}

on the solutions of the renormalization group equations, the condition is translated into an upper bound on the scale

m_{susy}

. Using presently favored values of

\alpha_1(m_z),\alpha_2(m_z),\alpha_3(m_z)

, we get

m_{susy} < 4.5 \times 10^9

GeVs for the central value of

\alpha_3(m_Z)

. When low energy threshold effect is present, this bound gets smeared yet remains generally stable in the

10^9-10^{10}

GeV range. We also show that if we demand string unification instead of having an unified gauge theory, this constraint can be changed by exotic hypercharge normalizations.

supersymmetry: symmetry breaking
sparticle: mass
upper limit
coupling: gauge
renormalization group
string model
hypercharge
numerical calculations

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