Bubbles in the supersymmetric standard model

Moreno, José Luís Muñoz; Quirós, M.; Seco, M.

doi:10.1016/s0550-3213(98)00283-1

Cited by 126 publications

(189 citation statements)

References 61 publications

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“…Again, a possible two-stage phase transition persists, in agreement with previous results [20,33]. We remark that the qualitative effects of increasingÃ t remain unchanged with respect to the case of m Q = 300GeV.…”

Section: Resultssupporting

confidence: 91%

Mixing effects in the finite-temperature effective potential of the MSSM with a light stop

Losada

2000

Nuclear Physics B

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We incorporate the effects of mixing arising from the trilinear terms in the MSSM potential to the effective three dimensional theory for the MSSM at high temperature in the limit of large m A . There are relevant one-loop effects that modify the 3D parameters of the effective theory. We calculate the two-loop effective potential of the 3D theory for the Higgs and the right handed stop to analyse the possible phase transitions and to determine the precise region in the m hmt 2 plane for which the sphaleron constraint for preservation of the baryon asymmetry is satisfied. There is an upper bound on the value of the mixing parameter coming from stop searches. We also compare with previous results obtained using 4D calculations of the effective potential for the regime of large m Q . A two-stage phase transition persists for a small range of values of mt 2 for given values of the mixing parameter and tan β. This can further constrain the allowed region of parameter space. Electroweak baryogenesis requires a value of mt 2 < ∼ 170 and m h < ∼ 105 GeV for m Q = 300 GeV.

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Section: Resultssupporting

confidence: 91%

Mixing effects in the finite-temperature effective potential of the MSSM with a light stop

Losada

2000

Nuclear Physics B

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“…Previous studies have found L w ∼ (20 − 30)T −1 in the MSSM [8] and L w ∼ (2 − 40)T −1 in extensions of the MSSM [33,35].…”

Section: Quantum Boltzmann Equationsmentioning

confidence: 85%

“…This method avoids making any a priori ansatz about the functional form or power counting of G(k, x). 8 …”

Section: Solution To the Flavored Boltzmann Equationsmentioning

confidence: 99%

“…In the thick bubble wall regime (L w T −1 ), flavor oscillations are formally the leading source of CP violation in a gradient expansion in powers of (L w T ) −1 , arising at linear order (e.g., in the MSSM, L w ∼ 20/T [8]). At order (L w T ) −2 , one finds an additional CP-violating source from the spin-dependent "semi-classical force" [11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

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Resonant flavor oscillations in electroweak baryogenesis

2011

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Electroweak baryogenesis (EWBG) in extensions of the Standard Model will be tested quantitatively in upcoming nuclear and particle physics experiments, but only to the extent that theoretical computations are robust. Currently there exist ordersof-magnitude discrepancies between treatments of charge transport dynamics during EWBG performed by different groups, each relying on different sets of approximations. In this work, we introduce a consistent power counting scheme (in ratios of length scales) for treating systematically the dynamics of EWBG: CP-asymmetric flavor oscillations, collisions, and diffusion. Within the context of a simplified model of EWBG, we derive the relevant Boltzmann equations using non-equilibrium field theory, and solve them exactly without ansatz for the functional form of the density matrices. We demonstrate the existence of a resonant enhancement in charge production when the flavor oscillation length is comparable to the wall thickness. We compare our results with the existing treatment of EWBG by Konstandin, Prokopec, Schmidt, and Seco (KPSS) who previously identified the importance of flavor oscillations in EWBG. We conclude: (i) the power counting of KPSS breaks down in the resonant regime, and (ii) this leads to substantial underestimation of the charge generated in the unbroken phase, and potentially of the final baryon asymmetry.

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“…The kink ansatz in many situations is a good approximation but it might be interesting to have a more refined description and to determine which deviations occur in the presence of potentials depending on two or more Higgs fields and one or more CP violating phases [13][14][15][16]. In fact it turns out that the most important value in the MSSM is the deviation ∆β = max v [v(β(v)−β(v c ))]/v c from the straight line between the minima since the baryon asymmetry is [17,18] proportional toHaving the exact profile one can calculate the baryon asymmetry like [17] * e-mail: P.John@thphys.uni-heidelberg.de and investigate the dynamics of expanding bubbles as in refs. [19][20][21].…”

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confidence: 99%

Bubble wall profiles with more than one scalar field: a numerical approach

John

1999

Physics Letters B

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We present a general numerical approach to solve the equations for bubble wall profiles in models with more than one scalar field and CP violating phases. We discuss the algorithm as well as several problems associated with it and show some profiles for demonstration found with our method.For the emergence of a baryon asymmetry of the Universe the Sakharov conditions necessarily demand deviation from thermodynamical equilibrium. This condition is fulfilled in first order phase transitions. They take place via nucleation of bubbles separating the symmetric from the broken phase. A first order phase transition might occur at temperatures around the electroweak scale. It turned out that in the Standard Model (SM) there is no phase transition at all for Higgs masses larger than 72 GeV [1]. Baryon number generation at the electroweak scale therefore requires more complicated models with additional light scalar fields such as Two-Higgsdoublet models (2HDM), MSSM, NMSSM or further extensions of the SM. In the MSSM there is a window for electroweak baryogenesis and an upper bound for the Higgs mass of about m H < 105 GeV with a light stop of mass mt R < m top [2][3][4][5][6]. In the NMSSM the bounds on the Higgs mass are even weaker [7,8].Having established the existence of a first order phase transition one can start the actual calculation of the baryon asymmetry itself. There are several mechanisms described in the literature [9][10][11][12]. All of them need the knowledge of the profile of the bubble wall during the phase transition. The kink ansatz in many situations is a good approximation but it might be interesting to have a more refined description and to determine which deviations occur in the presence of potentials depending on two or more Higgs fields and one or more CP violating phases [13][14][15][16]. In fact it turns out that the most important value in the MSSM is the deviation ∆β = max v [v(β(v)−β(v c ))]/v c from the straight line between the minima since the baryon asymmetry is [17,18] proportional toHaving the exact profile one can calculate the baryon asymmetry like [17] * e-mail: P.John@thphys.uni-heidelberg.de and investigate the dynamics of expanding bubbles as in refs. [19][20][21].To determine the bubble wall profile beyond a simple ansatz we have to solve the equations of motion numerically. In the case of more than one scalar field this is a highly nontrivial task since simple methods like overshooting-undershooting which work fine in the case of one scalar field like overshooting-undershooting fail. So one has to use methods which, beginning with an ansatz, converge to the actual solution. They are sometimes called "relaxation methods". Their practical implementation often is quite nontrivial. The issue of this letter is to present a working algorithm for the computation of bubble wall profiles.We first have to find the equations of motion. In field theory they can be derived via Euler Lagrange equations from the Lagrangian density which has the general formfor several Higgs fields Φ i (plus...

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Bubbles in the supersymmetric standard model

Cited by 126 publications

References 61 publications

Mixing effects in the finite-temperature effective potential of the MSSM with a light stop

Mixing effects in the finite-temperature effective potential of the MSSM with a light stop

Resonant flavor oscillations in electroweak baryogenesis

Bubble wall profiles with more than one scalar field: a numerical approach

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