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Eur. Phys. J. C (2013) 73:2430 DOI 10.1140/epjc/s10052-013-2430-x Erratum Erratum to: Relating the CMSSM and SUGRA models with GUT scale and super-GUT scale supersymmetry breaking Emilian Dudas 1,2,3 , Yann Mambrini 3 , Azar Mustafayev 4,a , Keith A. Olive 4 1 Department of Physics, Theory Division, 1211, Geneva 23, Switzerland 2 CPhT, Ecole Polytechnique, 91128 Palaiseau, France 3 Laboratoire de Physique Théorique, Université Paris-Sud, 91405 Orsay, France 4 William I. Fine Theoretical Physics Institute, School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA Published online: 15 May 2013 © Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica 2013 Erratum to: Eur. Phys. J. C (2012) 72:2138 DOI 10.1140/epjc/s10052-012-2138-3 In the original version of the paper, there was an ambiguity between the value of μ before and after the shift due to the Giudice–Masiero (GM) term. Here, we will clarify the equa- tions which were affected. We define μ 0 as the μ-term in the superpotential defined at the input universality scale M in . μ(M in ) will refer to the μ-term after the shift induced by the GM contribution to the Kähler potential also defined at the input scale. Then Eq. (12) becomes μ(M in ) = μ 0 + c H m 0 . (12) Similarly, μB(M in ) is defined as μB(M in ) = μ 0 B 0 + 2c H m 2 0 , (13) which replaces Eq. (13). As a consequence, we would find B(M in ) = (A 0 m 0 0 /μ(M in ) + 2c H m 2 0 /μ(M in ). (14) This clarification affects the result only in Sect. 2 of the paper. For M in = M GUT , and when the Giudice-Masiero The online version of the original article can be found under doi:10.1140/epjc/s10052-012-2138-3. a e-mail: [email protected] term (11) is included [15], one can deduce the (GUT) bound- ary conditions for μ and B : μ(M GUT ) = μ 0 + c H m 0 , (16) B(M GUT ) = (A 0 m 0 0 /μ(M GUT ) + 2c H m 2 0 /μ(M GUT ). (17) This allows us to solve for c H where we obtain an equation similar to Eq. (30): c H = (B(M GUT ) A 0 + m 0 )μ(M GUT )/(3m 2 0 A 0 m 0 ). (18) These changes affect the contours in Figs. 2–4. In Fig. 2, with A 0 = 0, all contour labels should be multiplied by 2/3. In Fig. 3, with A 0 = 2.5m 0 , all contours should be multiplied by 4.0. In Fig. 4a, with A 0 = 0, all contour la- bels should be multiplied by 2/3. Finally, in Fig. 4b, with A 0 = 2.0m 0 , all contour labels should be multiplied by 2.0. All results and figures in Sects. 3 and 4 remain unaf- fected.

Erratum to: Relating the CMSSM and SUGRA models with GUT scale and super-GUT scale supersymmetry breaking

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Eur. Phys. J. C (2013) 73:2430DOI 10.1140/epjc/s10052-013-2430-x

Erratum

Erratum to: Relating the CMSSM and SUGRA modelswith GUT scale and super-GUT scale supersymmetry breaking

Emilian Dudas1,2,3, Yann Mambrini3, Azar Mustafayev4,a, Keith A. Olive4

1Department of Physics, Theory Division, 1211, Geneva 23, Switzerland2CPhT, Ecole Polytechnique, 91128 Palaiseau, France3Laboratoire de Physique Théorique, Université Paris-Sud, 91405 Orsay, France4William I. Fine Theoretical Physics Institute, School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA

Published online: 15 May 2013© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica 2013

Erratum to: Eur. Phys. J. C (2012) 72:2138DOI 10.1140/epjc/s10052-012-2138-3

In the original version of the paper, there was an ambiguitybetween the value of μ before and after the shift due to theGiudice–Masiero (GM) term. Here, we will clarify the equa-tions which were affected. We define μ0 as the μ-term in thesuperpotential defined at the input universality scale Min.μ(Min) will refer to the μ-term after the shift induced bythe GM contribution to the Kähler potential also defined atthe input scale. Then Eq. (12) becomes

μ(Min) = μ0 + cH m0. (12)

Similarly, μB(Min) is defined as

μB(Min) = μ0B0 + 2cH m20, (13)

which replaces Eq. (13). As a consequence, we would find

B(Min) = (A0 − m0)μ0/μ(Min) + 2cH m20/μ(Min). (14)

This clarification affects the result only in Sect. 2 of thepaper. For Min = MGUT, and when the Giudice-Masiero

The online version of the original article can be found underdoi:10.1140/epjc/s10052-012-2138-3.

a e-mail: [email protected]

term (11) is included [15], one can deduce the (GUT) bound-ary conditions for μ and B:

μ(MGUT) = μ0 + cH m0, (16)

B(MGUT) = (A0 − m0)μ0/μ(MGUT)

+ 2cH m20/μ(MGUT). (17)

This allows us to solve for cH where we obtain an equationsimilar to Eq. (30):

cH = (B(MGUT) − A0 + m0)μ(MGUT)/(3m20 − A0m0).

(18)

These changes affect the contours in Figs. 2–4. In Fig. 2,with A0 = 0, all contour labels should be multiplied by2/3. In Fig. 3, with A0 = 2.5m0, all contours should bemultiplied by 4.0. In Fig. 4a, with A0 = 0, all contour la-bels should be multiplied by 2/3. Finally, in Fig. 4b, withA0 = 2.0m0, all contour labels should be multiplied by 2.0.

All results and figures in Sects. 3 and 4 remain unaf-fected.