A new (string motivated) approach to the little hierarchy problem

Daniel Feldman; Gordon Kane; Eric Kuflik; Ran Lu

doi:10.1016/j.physletb.2011.08.063

A new (string motivated) approach to the little hierarchy problem

Daniel Feldman
, Gordon Kane
, Eric Kuflik
, Ran Lu

Research output: Contribution to journal › Article › peer-review

Abstract

We point out that in theories where the gravitino mass, M3/2, is in the range (10-50) TeV, with soft-breaking scalar masses and trilinear couplings of the same order, there exists a robust region of parameter space where the conditions for electroweak symmetry breaking (EWSB) are satisfied without large imposed cancellations. Compactified string/M-theory with stabilized moduli that satisfy cosmological constraints generically require a gravitino mass greater than about 30 TeV and provide the natural explanation for this phenomenon. We find that even though scalar masses and trilinear couplings (and the soft-breaking B parameter) are of order (10-50) TeV, the Higgs vev takes its expected value and the μ parameter is naturally of order a TeV. The mechanism provides a natural solution to the cosmological moduli and gravitino problems with EWSB.

Original language	English
Pages (from-to)	56-61
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	704
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physletb.2011.08.063
State	Published - 5 Oct 2011
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.physletb.2011.08.063

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title = "A new (string motivated) approach to the little hierarchy problem",

abstract = "We point out that in theories where the gravitino mass, M3/2, is in the range (10-50) TeV, with soft-breaking scalar masses and trilinear couplings of the same order, there exists a robust region of parameter space where the conditions for electroweak symmetry breaking (EWSB) are satisfied without large imposed cancellations. Compactified string/M-theory with stabilized moduli that satisfy cosmological constraints generically require a gravitino mass greater than about 30 TeV and provide the natural explanation for this phenomenon. We find that even though scalar masses and trilinear couplings (and the soft-breaking B parameter) are of order (10-50) TeV, the Higgs vev takes its expected value and the μ parameter is naturally of order a TeV. The mechanism provides a natural solution to the cosmological moduli and gravitino problems with EWSB.",

author = "Daniel Feldman and Gordon Kane and Eric Kuflik and Ran Lu",

note = "Funding Information: We collectively thank Tim Cohen, Piyush Kumar, Pran Nath, Brent Nelson, Aaron Pierce, Lian-Tao Wang, James Wells, and Hai-Bo Yu for comments and conversations following the near completion of this Letter. This research is supported by Department of Energy grant DE-FG02-95ER40899 and by the Michigan Center for Theoretical Physics , and support of EK and RL by the String Vacuum Project Grant funded through NSF grant PHY/0917807 .",

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doi = "10.1016/j.physletb.2011.08.063",

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AU - Kane, Gordon

AU - Kuflik, Eric

AU - Lu, Ran

N1 - Funding Information: We collectively thank Tim Cohen, Piyush Kumar, Pran Nath, Brent Nelson, Aaron Pierce, Lian-Tao Wang, James Wells, and Hai-Bo Yu for comments and conversations following the near completion of this Letter. This research is supported by Department of Energy grant DE-FG02-95ER40899 and by the Michigan Center for Theoretical Physics , and support of EK and RL by the String Vacuum Project Grant funded through NSF grant PHY/0917807 .

PY - 2011/10/5

Y1 - 2011/10/5

N2 - We point out that in theories where the gravitino mass, M3/2, is in the range (10-50) TeV, with soft-breaking scalar masses and trilinear couplings of the same order, there exists a robust region of parameter space where the conditions for electroweak symmetry breaking (EWSB) are satisfied without large imposed cancellations. Compactified string/M-theory with stabilized moduli that satisfy cosmological constraints generically require a gravitino mass greater than about 30 TeV and provide the natural explanation for this phenomenon. We find that even though scalar masses and trilinear couplings (and the soft-breaking B parameter) are of order (10-50) TeV, the Higgs vev takes its expected value and the μ parameter is naturally of order a TeV. The mechanism provides a natural solution to the cosmological moduli and gravitino problems with EWSB.

AB - We point out that in theories where the gravitino mass, M3/2, is in the range (10-50) TeV, with soft-breaking scalar masses and trilinear couplings of the same order, there exists a robust region of parameter space where the conditions for electroweak symmetry breaking (EWSB) are satisfied without large imposed cancellations. Compactified string/M-theory with stabilized moduli that satisfy cosmological constraints generically require a gravitino mass greater than about 30 TeV and provide the natural explanation for this phenomenon. We find that even though scalar masses and trilinear couplings (and the soft-breaking B parameter) are of order (10-50) TeV, the Higgs vev takes its expected value and the μ parameter is naturally of order a TeV. The mechanism provides a natural solution to the cosmological moduli and gravitino problems with EWSB.

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

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A new (string motivated) approach to the little hierarchy problem

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