• Evaluation ofS,T, U parameters, triple gauge boson vertices and some oblique corrections in extraU(1) superstring inspired model

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/052/02/0145-0175

• # Keywords

S, T, U parameters; BPHZ dimensional regularization; triple gauge boson vertex (TGV); form factors; one particle irreducible self energies (1PI)

• # Abstract

Explicit evaluation of the following parameters has been carried out in the extraU (1) superstring inspired model: (i) As Mz2 varies from 555 GeV to 620 GeV and (mt) CDF = 175.6 ± 5.7 GeV (Table 1): (a) SNew varies from -0.100 ± 0.089 to -0.130 ± 0.090, (b) TNew varies from -0.098 ± 0.097 to -0.129 ± 0.098, (c) UNew varies from -0.229 ± 0.177 to -0.253 ± 0.206, (d) Τz varies from 2.487 ± 0.027 to 2.486 ± 0.027, (e) ALR varies from 0.0125 ± 0.0003 to 0.0126 ± 0.0003, (f) AFBb remains constant at 0.0080 ± 0.0007. Almost identical values are obtained for (mt)D0 = 169 GeV (see table 2). (ii) Triple gauge boson vertices (TGV) contributions: AsMz2 varies from 555 GeV to 620 GeV and (mt) CDF = 175.6 ±5.7 GeV. (a)√s = 500 GeV, asymptotic case:$$\overline f _1^{Z_1 }$$ varies from -0.301 to -0.179;$$\overline f _{3|Z_1 }^{Z_1 }$$ varies from -0.622 to -0.379;$$f_5^{Z_1 }$$ varies from +0.0061 to 0.0056;$$\overline f _{3|Z_1 }^{\gamma _1 }$$ varies from -3.691 to -2.186.$$\overline f _z^{Z_2 }$$ varies from +0.270 to +0.118;$$\overline f _3^{Z_2 }$$ varies from +0.552 to 0.238;$$f_5^{Z_2 }$$ varies from +0.0004 to +0.0002;$$\overline f _{3|Z_2 }^{\gamma _1 }$$ remains constant at -0.110. (b)√s = 700 GeV, asymptotic case:$$\overline f _1^{Z_1 }$$ varies from -0.297 to -0.176;$$\overline f _3^{Z_1 }$$ varies from -0.609 to -0.370;$$\overline f _5^{Z_1 }$$ varies from -0.0082 to -0.0078;$$\overline f _{3|Z_1 }^{\gamma _1 }$$ varies from -3.680 to -2.171.√s = 700 GeV, nonasymptotic case:$$\overline f _1^{Z_2 }$$ varies from -0.173 to -0.299;$$\overline f _3^{Z_2 }$$ varies from-0.343 to -0.591;$$f_5^{Z_2 }$$ varies from -0.005 to -0.011;$$\overline f _{3|Z_2 }^{\gamma _1 }$$ remains constant at -0.110.

The pattern of form factors values for√s = 1000, 1200 GeV is almost identical to that of√s= 700 GeV. Further the values of the form factors for (mt)D0 (=169 GeV) follow identical pattern as that of (mt) CDF form factors values (see tables 5, 6, 9, 10).

We conclude that the values of all the form factors with the exception of these of$$f_5^{Z_1 }$$,$$f_5^{Z_2 }$$ are comparable or larger than theS, T values and therefore the TGV contributions are important while deciding the use of extraU (1) model for doing physics beyond standard model.

• # Author Affiliations

1. Department of Physics, University of Rajasthan, Jaipur - 302 004, India

• # Pramana – Journal of Physics

Volume 94, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019