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arXiv 1108.5740hep-ph
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大体积紧化中的反常U(1)中介

Anomalous U(1) Mediation in Large Volume Compactification

Chang Sub Shin

摘要:

研究了大体积情形下反常U(1)A规范对称性对软超对称破缺项的一般影响,其中MSSM扇区局域在一个小圈上,其体积由U(1)A的D项势稳定.由于U(1)_A矢量超场无论Kähler势的具体形式如何,都能得到超对称破缺质量,因此U(1)_A矢量超场起到了信使的作用,将超对称破缺从模扇区传递到MSSM扇区。然后,通过U(1)_A矢量超场的环,对标量质量平方,产生m_{3/2} ^2/8π^2量级的软质量,对高根质量,产生m_{3/2} /(8π^2)量级的软质量,对A参数,产生m_{3/2} /8π^2量级的软质量.此外,通过Kähler势中的模混合,有质量的U(1)_A矢量超场可以具有非零的F和D分量,这可以导致更大的软质量,这取决于模混合的细节。例如,在可见扇区模量和大体积模量之间存在单圈诱导模量混合的情况下,U(1)_A D项提供了m_{3/2} ^2量级的软标量质量平方。然而,如果可见扇区模仅与小循环模混合,则其对软项的影响取决于如何稳定小循环模。

英文摘要:

We study the general effects of anomalous U(1)_A gauge symmetry on soft supersymmetry (SUSY) breaking terms in large volume scenario, where the MSSM sector is localized on a small cycle whose volume is stabilized by the D-term potential of the U(1)_A. Since it obtains SUSY breaking mass regardless of the detailed form of Kähler potential, the U(1)_A vector superfield acts as a messenger mediating the SUSY breaking in the moduli sector to the MSSM sector. Then, through the loops of U(1)_A vector superfield, there arise soft masses of the order of m_{3/2}^2/8π^2 for scalar mass squares, m_{3/2}/(8π^2)^2 for gaugino masses, and m_{3/2}/8π^2 for A-paramteres. In addition, the massive U(1)_A vector superfield can have non-zero F and D-components through the moduli mixing in the Kähler potential, and this can result in larger soft masses depending upon the details of the moduli mixing. For instance, in the presence of one-loop induced moduli mixing between the visible sector modulus and the large volume modulus, the U(1)_A D-term provides soft scalar mass squares of the order of m_{3/2}^2. However, if the visible sector modulus is mixed only with small cycle moduli, its effect on soft terms depends on how to stabilize the small cycle moduli.

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