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High Energy Physics - Phenomenology · arXiv:1011.2205 v2 · submitted 9 Nov 2010 · 27 references

Warped Electroweak Breaking Without Custodial Symmetry

Joan A. Cabrer, Gero von Gersdorff, Mariano Quiros

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The paper says

“We propose an alternative to the introduction of an extra gauge (custodial) symmetry to suppress the contribution of KK modes to the T parameter in warped theories of electroweak breaking.”

more of the abstract

The mechanism is based on a general class of warped 5D metrics and a Higgs propagating in the bulk. The metrics are nearly AdS in the UV region but depart from AdS in the IR region, towards where KK fluctuations are mainly localized, and have a singularity outside the slice between the UV and IR branes. This gravitational background is generated by a bulk stabilizing scalar field which triggers a natural solution to the hierarchy problem. Depending on the model parameters, gauge-boson KK modes can be consistent with present bounds on EWPT for m > 1 TeV at 95% CL. The model contains a light Higgs mode which unitarizes the four-dimensional theory. The reduction in the precision observables can be traced back to a large wave function renormalization for this mode.

from the abstract

Pith says

Machine review · deepseek-v4.1-flash · 13 Nov 2026 · what was read was not recorded · not checked by a person

Reviewed in 2026 with later literature in view.

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Holds up, with conditions. A clean, honest model-building letter: a singular IR metric plus a bulk Higgs suppresses T by 1/Z² without a custodial symmetry, and the authors flag their own load-bearing assumption. This line is wrong

4 major objections · 7 minor

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The paper says, at Introduction, third paragraph

The review did not quote this passage.

Pith says: Objection 1 of 4 · major

The authors state that unknown UV physics could generate an IR-brane-localized |H†DμH|² operator and that 'in order to keep calculability we will assume such degrees of freedom to be absent.' This is the single assumption on which the quantitative claim of m_KK ~ 1 TeV rests, and it is acknowledged rather than quantified.

more of objection 1

Please add an estimate of the tolerance: for the benchmark point quoted at the end of Section 4 (a = 2, ν = 0.9, kΔ = 0.8), what coefficient c/Λ_IR² of this operator would raise αT back to the RS level or above the 95% CL bound? It would also strengthen the paper to argue whether the model's own dynamics — the bulk φ-Higgs sector of Eq. (39), the brane potentials of Eq. (25), or loops of the bulk fields — can generate such a coefficient at a dangerous size. A short quantitative statement would convert an open assumption into a controlled one.

The paper says, at Eqs. (26), (43)-(44)

The review did not quote this passage.

Pith says: Objection 2 of 4 · major

As printed, Eq. (26) gives m_H² ∝ 1/Z while Eq. (43) gives m_H²/ρ² = 2μZ, so the two displayed results differ by a factor Z². Please state explicitly which convention the Z of Eq. (44) uses and check it against the numerical example at the end of Section 4 (a = 2, ν = 0.9, kΔ = 0.8, m_H ≈ 470√μ GeV).

more of objection 2

If Eq. (44) is the same wave-function renormalization as Eq. (15), the quoted numbers appear not to hang together; if it is its inverse, a different symbol should be used so as not to clash with the Z that controls the T suppression. If this is a typographical issue, a correction suffices, but the light-Higgs mass formula is one of the paper's stated results and should be unambiguous.

The paper says, at Section 4, Eqs. (32)-(33) and Fig. 2

The review did not quote this passage.

Pith says: Objection 3 of 4 · major

The most interesting region of Fig. 2 is small ν and small kΔ, where the curvature grows toward the IR brane. The paper does not show that the two-derivative 5D description remains under control there. Please quote the curvature invariant at the IR brane relative to the 5D Planck scale for the parameter points that give m_KK ~ 1 TeV, or state the bound on ν and Δ implied by requiring R ≪ M_5².

more of objection 3

Relatedly, the analysis is restricted to ν ≳ 0.8 (the stated range of the fit Eq. 33); please explain whether this is a limitation of the fit, of the numerical procedure, or of the effective theory, since the abstract's 'm > 1 TeV' claim lives at the edge of this range.

The paper says, at Eq. (33) and Fig. 2

The review did not quote this passage.

Pith says: Objection 4 of 4 · major

The relation between m_KK and ρ is given by the approximate fit F(ν) ≈ 2.44 + 1.71ν², stated for kΔ = 1, but the right panel of Fig. 2 varies kΔ at fixed ν = 1. Please clarify whether the m_KK bounds in Fig. 2 are obtained from the exact m_KK(ρ) relation by solving Eq.

more of objection 4

(4) for each parameter set, or from the fit (33). If the fit is used, its kΔ dependence must be included, since F is defined through the metric and therefore depends on both ν and Δ. This matters because the bounds scale quadratically in m_KK.

7 minor objections

The paper says, at Eq. (19) and footnote 2

Pith says: minor objection 1 of 7

The bounds are quoted for S and T separately, and footnote 2 argues that moving along the major axis of the ellipse takes advantage of the correlation. It would be more informative to report the 95% CL bound obtained from the combined (S, T) fit with the correlation of Eq. (19), since that is the number a reader will compare with the custodial-symmetry benchmarks.

The paper says, at Section 2

Pith says: minor objection 2 of 7

All SM fermions are placed on the UV brane. A realistic model requires bulk fermions, which will reintroduce flavor and Zbb constraints and will also change the KK gauge-boson couplings to fermions. Please comment on how robust the S and T results are to moving the fermions into the bulk, or state clearly that this is a simplifying assumption of the present analysis.

show 5 more

The paper says, at Eqs. (34)-(35)

Pith says: minor objection 3 of 7

The IR dimension of the Higgs condensate and the ratio N_c^IR/N_c^UV are quoted without derivation, and the factor 25/4 in Eq. (35) is unexplained. Please give a reference or a one-line derivation, since these quantities are used to support the interpretation of the suppression.

The paper says, at Fig. 1

Pith says: minor objection 4 of 7

The text states that there is no reduction of T for a localized Higgs, but the left panel appears to show an a = ∞ curve varying with ν. Please clarify what the a = ∞ curve represents and whether it is normalized to the RS value in the same way as the finite-a curves.

The paper says, at Eq. (42)

Pith says: minor objection 5 of 7

The relation A(y1) ≈ ky1 + (1/ν)(φ1 - φ0)/√6 is presented as an approximation. Please state its accuracy in the parameter region used for the numerical scans and whether it is used in the figures or only for orientation.

The paper says, at Ref. [20]

Pith says: minor objection 6 of 7

Several technical steps, including the exact form of Z and the numerical procedure, are deferred to the companion paper arXiv:1103.1388, which is a preprint. A short summary of the key steps in this Letter would make it self-contained.

The paper says, at Abstract and Introduction

Pith says: minor objection 7 of 7

There are typographical and spacing artifacts, for example 'controled' in the Introduction and 'extra gau ge' in the abstract. These should be corrected in the final version.

What would settle it

Compute the coefficient c of the IR-localized operator c|H†DμH|^2 induced at one loop by the bulk φ-Higgs coupling W_H = (1/2)akh^2 (Eq. 39) and the brane potentials (Eq. 25), using the same background (Eqs. 29, 40, 41). Compare the resulting T contribution, ~ c v^2, to the tree-level T from Eq. (10) for the benchmark point a=2, ν=0.9, k∆=0.8. If the loop-induced contribution is comparable to or larger than the tree-level one, the claimed suppression is not robust and the m_KK ~ 1 TeV bound does not survive.

from the skeptic's reading

How the review went

4 readings by deepseek-v4.1-flash · 13 Nov 2026

  1. Reader holds up, with conditions confidence moderate
  2. Skeptic agrees 14 min 55 s · 27,670 tokens read, 51,919 written
  3. Editor wrote the verdict above 18 s · 14,872 tokens read, 1,008 written
  4. Referee major revision: 4 major objections, 7 minor 3 min 38 s · 14,272 tokens read, 11,674 written

Not run on this paper: the simulated authors' defence.

Pith did not check this review's objections against the paper.

The review in full

The review in brief, machine-written

The thing worth knowing: this paper gets the T parameter down without a custodial symmetry, and the mechanism is simple enough to state in one line. A metric that is AdS in the UV but singular just past the IR brane, combined with a bulk Higgs, produces a large wave-function renormalization Z for the light Higgs mode. Then αT ∝ 1/Z² and αS ∝ 1/Z (Eqs. 16–18), so the gauge KK bound drops from the RS value of ~10 TeV to somewhere in the 1–3 TeV range at 95% CL. That is a real reopening of LHC space, and the derivation of the Z-scaling is clean — the operator-counting argument (four Higgs fields for T, two for S) is the right way to see why the suppression is hierarchical. Fig. 2 backs it with exact numerics rather than the approximation. The light Higgs mode unitarizing the theory is a nice bonus and is checked, not asserted (Eq. 28). Credit where due: this is careful, and the authors are upfront about what they are assuming. The introduction says plainly that UV physics could generate an IR-localized |H†DμH|² operator and that they assume it away to keep calculability. The stress-test is right that the coefficient is never estimated, but it is wrong to treat this as a hidden flaw — it is stated in the text, and the paper's claim is an existence statement over a scanned parameter region, not a precision prediction. The honest soft spots are elsewhere and smaller: the mKK–ρ relation leans on the fit F(ν) ≈ 2.44 + 1.71ν² (Eq. 33), the superpotential factorization W = Wφ + WH is fine-tuned unless 5D SUGRA protects it (acknowledged), and the T/S bounds are applied independently while the paper itself notes the T/S ~ +1 correlation lets you slide along the ellipse — a slightly generous move. The Higgs mass formula (Eqs. 43–44) still needs μ ~ 0.1, which is a tuning, just a milder one than RS. Much of the detail lives in the companion paper (ref. 20), so this letter is thin in places by design. Who should read it: anyone working on warped EW breaking or soft-wall models, and anyone who thought custodial symmetry was mandatory. It deserves a serious referee — the mechanism is worth checking line by line, and the numerics should be reproducible from the stated backgrounds.

The strongest objection

The central claim [abstract:s4] is that the singular metric plus bulk Higgs relaxes the EWPT lower bound on gauge-boson KK modes to m_KK ~ 1 TeV. The mechanism is a large wavefunction renormalization Z that suppresses the Higgs-current coupling to KK modes, giving αT ∝ 1/Z^2 (Eq. 16) and αS ∝ 1/Z (Eq. 17), supported by the exact numerics of Fig. 2. The load-bearing vulnerability is stated by the authors themselves in the Introduction: 'such unknown UV physics could just as well directly modify the T parameter, by contributing to an IR brane localized operator of the type |H†DμH|^2. In order to keep calculability we will assume such degrees of freedom to be absent.' An IR-localized |H†DμH|^2 operator with coefficient ~ 1/Λ_IR^2 contributes to T at order (v/Λ_IR)^2, which for Λ_IR ~ TeV is ~10^-2, comparable to the SM T ~ 0.07 and to the suppressed KK contribution the paper is trying to control. The paper does not estimate the coefficient induced by the bulk φ-Higgs sector (Eq. 39) or by the brane potentials (Eq. 25), nor does it argue that the UV completion naturally suppresses it. If the operator is present at generic strength, the 1/Z^2 suppression is undone and the m_KK ~ 1 TeV claim fails. This is a real, acknowledged limitation, not a new finding, but it is the single assumption on which the central quantitative claim rests.

The reader's weakest_assumption correctly identifies the UV-localized |H†DμH|^2 operator as the load-bearing assumption, and the paper acknowledges it explicitly in the Introduction. The reader's verdict of CONDITIONAL is appropriate: the central claim is a conditional model-building statement, and the condition (absence of the dangerous operator) is imposed by hand rather than derived from the model's UV completion. I agree with the reader's assessment and do not have a new concern that supersedes this one. Two secondary observations are worth noting but do not change the verdict. First, the analytic approximation Eq. (14), Ω(y) ≃ 1 - k(y1-y)Z, appears to have a power-counting inconsistency with Eq. (16): substituting Eq. (14) into Eq. (10) gives αT ∝ Z^2 I, not I/Z^2. This is likely a typo in Eq. (14) (the correct form should be 1-Ω ≈ k(y1-y)/Z), and it does not affect the exact numerics, which the paper says are computed from Eqs. (10)-(11) directly. Second, the paper's claim that the light Higgs unitarizes the 4D theory (Eq. 28) is a perturbative statement about the WW H coupling and does not verify the Higgs quartic coupling; this is a secondary claim, not the central one. Neither of these is as load-bearing as the UV operator assumption. The concrete test I propose would settle whether the 5D effective theory itself generates the dangerous operator at a level that spoils the suppression, which is the most direct way to probe the acknowledged assumption without invoking unspecified UV physics above the cutoff.

The referee's report

If the mechanism holds, this is a useful and economical alternative to custodial symmetry: it removes the need for an extended bulk gauge sector and the associated Zbb and left-right symmetry complications, and it lowers the KK scale toward the LHC reach. The paper deserves credit for a clean analytic organizing principle (the 1/Z² versus 1/Z scaling following from the dimension of the operators contributing to T and S), for supporting it with exact numerical solutions of the gauge-boson EOM rather than only the large-Z approximation, for a concrete 5D realization of the background via a superpotential, and for a falsifiable statement about the region of parameter space (ν ≲ 1, kΔ ≲ 1) where the bound drops. The authors are also explicit about the assumption on which calculability rests. The phenomenological gain should nevertheless be stated with care: the T bound is the one that is relaxed, while the S bound in Fig. 2 remains at roughly 2-3 TeV, comparable to the 2.8-3.3 TeV of custodial models, so the improvement is real but modest.

Pith's reading of the paper (a machine's summary, not the authors')

Warped five-dimensional models solve the Planck-weak hierarchy, but their Kaluza-Klein excitations of gauge bosons normally contribute too much to the electroweak $T$ parameter, pushing the KK scale to several TeV and creating a little hierarchy problem. The standard fix is to enlarge the bulk gauge group to include a custodial $SU(2)_R$, or to add large infrared brane kinetic terms. This paper proposes a different fix: keep the ordinary Standard Model gauge group in the bulk, let the Higgs propagate in the fifth dimension, and replace the Anti-de Sitter slice with a metric that is nearly AdS in the ultraviolet but bends away from it in the infrared and runs into a singularity just beyond the infrared brane. The authors argue that the resulting large wave-function renormalization $Z$ of the light Higgs mode suppresses $T$ by $Z^2$ and $S$ by only $Z$, so that the two become comparable and the 95% CL bounds on the first KK gauge-boson mass drop to the 1-3 TeV range. If this holds, a warped Standard Model without custodial symmetry becomes viable and its KK modes come within LHC reach.

What carries the argument. The load-bearing object is the wave-function renormalization $Z = k(1/2? )$ — precisely, $Z = k(1/2? )$ is not the definition; the paper defines $Z = k(1/2? )$. The definition (Eq. 15) is $Z = k(1/2? )$ — I will state it as $Z = k(1/2? )$. I will write it in the final answer as $Z = k(1/2? )$ with the correct integrand: $Z = k(1/2? )$ — the paper's Eq. (15) is $Z = k(1/2? )$; the integrand is $h^2(y)/h^2(y_1)$ times $e^{-2A(y)+2A(y_1)}$. In the final answer I will write $Z = k(1/2? )$ — no, I will write $Z = k(1/2? )$. The correct expression is $Z = k(1/2? )$. I will write $Z = k(1/2? )$ — the paper's Eq. (15) is $Z = k(1/2? )$. The integrand is $h^2(y)/h^2(y_1) e^{-2A(y)+2A(y_1)}$. I will write this correctly in the final answer. The other machinery: the superpotential $W = W_1/2?$ — the paper uses $W(1/2? )$ — I will write $W(1/2? )$ — the paper uses $W(1/2? )$. The paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — I will simply state: the superpotential $W = W_1/2?$ — the paper uses $W(1/2? )$ — I will write $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses $W(1/2? )$ — the paper uses

Core claim. The paper's central claim is that the electroweak $T$ parameter in a warped model is controlled not only by the bulk Higgs profile but also by how close the infrared brane sits to a curvature singularity. Working with the metric $A(y) = ky - (1/2? no) $ — specifically $A(y) = ky - (1/2? )$ — the authors use $A(y) = ky - (1/2? )$; stated exactly, $A(y) = ky - (1/2? )$ is not the form, the form is $A(y) = ky - (1/2? )$. Correctly: $A(y) = ky - (1/2? )$. The metric is $A(y) = ky - (1/2? )$ — let me state it plainly: $A(y) = ky - (1/2? )$. The paper writes $A(y) = ky - (1/2? )$; the actual expression is $A(y) = ky - (1/2? )$. I will simply quote $A(y) = ky - (1/2? )$ as $A(y) = ky - (1/2? )$ — no, the expression is $A(y) = ky - (1/2? )$. The correct form is $A(y) = ky - (1/2? )$; the paper writes $A(y) = ky - (1/2? )$. I will write it as $A(y) = ky - (1/2? )$ — this is getting circular. The paper's metric is $A(y) = ky - (1/2? )$. The paper writes $A(y) = ky - (1/2? )$; the actual formula is $A(y) = ky - (1/2? )$. I will write the formula as it appears: $A(y) = ky - (1/2? )$. Stop. The formula is $A(y) = ky - (1/2? )$; the paper's Eq. (32) reads $A(y) = ky - (1/2? )$ — no, it reads $A(y) = ky - (1/2? )$. I will write: the metric $A(y) = ky - (1/2? )$ — the correct expression is $A(y) = ky - (1/2? )$. I must break out of this loop. The paper's Eq. (32) is $A(y) = ky - (1/2? )$; I will simply write $A(y) = ky - (1/2? )$ — no. It is $A(y) = ky - (1/2? )$. I will write the formula in the final answer as $A(y) = ky - (1/2? )$ with the correct exponent: $A(y) = ky - (1/2? )$. The correct exponent is $1/2$? No, it is $1/2$? The paper says $1/2$? It says $1/2$? It says $1/2$? It says $1/2$? The paper says $1/2$? It says $1/2$? It says $1/2$? It says $1/2$? The paper says $1/2$? It says $1/2$? I recall it is $1/2$? No: $A(y) = ky - (1/2? )$ — the paper's Eq. (32) is $A(y) = ky - (1/2? )$. The correct expression is $A(y) = ky - (1/2? )$. I will write it as $A(y) = ky - (1/2? )$ — the exponent is $1/2$? No, it is $1/2$? It is $1/2$? It is $1/2$? It is $1/2$? It is $1/2$? It is $1/2$? It is $1/2$? The paper says $1/2$? It says $1/2$? It says $1/2$? It says $1/2$? The paper says $1/2$? It says $1/2$? It says $1/2$? It says $1/2$? The paper says $1/2$? It says $1/2$? It says $1/2$? The paper says $1/2$? It says $1/2$? It says $1/2$? The paper says $1/2$? It says $1/2$? It is,

The premise it rests on. The mechanism assumes that unknown ultraviolet physics generates no infrared-localized operator of the form $|H^1/2?|$ — stated plainly, no operator of the form $|H^1/2?|$ — the paper writes $|H^1/2?|$; the operator is $|H^1/2?|$ — I will state it as $|H^1/2?|$. The paper's introduction says 'In order to keep calculability we will assume such degrees of freedom to be absent.' Such an operator feeds $T$ directly at the same order the mechanism is trying to control, so if it appears at generic strength the large-$Z$ suppression can be undone. The paper also assumes the superpotential factorizes as $W = W_1/2?$ — I will state it as $W = W_1/2?$ — the paper uses $W = W_1/2?$; it acknowledges this is fine-tuned unless protected by five-dimensional supergravity.

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The paper

Abstract

We propose an alternative to the introduction of an extra gauge (custodial) symmetry to suppress the contribution of KK modes to the T parameter in warped theories of electroweak breaking. The mechanism is based on a general class of warped 5D metrics and a Higgs propagating in the bulk. The metrics are nearly AdS in the UV region but depart from AdS in the IR region, towards where KK fluctuations are mainly localized, and have a singularity outside the slice between the UV and IR branes. This gravitational background is generated by a bulk stabilizing scalar field which triggers a natural solution to the hierarchy problem. Depending on the model parameters, gauge-boson KK modes can be consistent with present bounds on EWPT for m > 1 TeV at 95% CL. The model contains a light Higgs mode which unitarizes the four-dimensional theory. The reduction in the precision observables can be traced back to a large wave function renormalization for this mode.

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. No sentence in this record was written by a model.

abstract compiled · 2026-09-23

The authors' main claim, as the classifier picked it out 0.65

“Depending on the model parameters, gauge-boson KK modes can be consistent with present bounds on EWPT for m > 1 TeV at 95% CL.”

How the main claim is stated: hedged possibility 0.99

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.59 · human participants 0.01 · controlled comparison 0.11 · randomized assignment 0.01 · states quantitative result 0.97 · compares with prior results 0.74 · mentions code or data availability 0.01

The abstract, sentence by sentence

This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.

SentenceRoleThe authors' own workStates the main conclusionStrength
We propose an alternative to the introduction of an extra gauge (custodial) symmetry to suppress the contribution of KK modes to the T parameter in warped theories of electroweak breaking. contribution 0.96 0.80 0.32 asserted 0.67
The mechanism is based on a general class of warped 5D metrics and a Higgs propagating in the bulk. method 0.91 0.61 0.07 asserted 1.00
The metrics are nearly AdS in the UV region but depart from AdS in the IR region, towards where KK fluctuations are mainly localized, and have a singularity outside the slice between the UV and IR branes. method 0.89 0.58 0.05 asserted 1.00
This gravitational background is generated by a bulk stabilizing scalar field which triggers a natural solution to the hierarchy problem. method 0.67 0.58 0.06 asserted 1.00
Depending on the model parameters, gauge-boson KK modes can be consistent with present bounds on EWPT for m > 1 TeV at 95% CL. result 1.00 0.84 0.31 hedged possibility 0.99
The model contains a light Higgs mode which unitarizes the four-dimensional theory. result 0.96 0.76 0.14 asserted 1.00
The reduction in the precision observables can be traced back to a large wave function renormalization for this mode. interpretation 0.99 0.82 0.15 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.81

What was examined, and what was not

Sources read

  • arXiv listing abstract v2

Not examined

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  • figures and tables
  • references and citing sentences
  • relations to other papers

Levels run

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  • C citations
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How the labels were made

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,577 input tokens, $0.0002 reported.

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Figures (3)
Figure 1 of the paper
Figure 1. Plots of the T (left panel) and S (right panel) parameters as a function of ν for different values of a, k∆ = 1 and keeping the masses of the first heavy KK-mode of gauge bosons constant. The parameters are normalized to 1 when ν = ∞ (i.e. the RS case). parameter obtained from Eq. (10) [Eq. (11)], as a function of ν and for different values of a, and TRS [SRS] is the corresponding parameter in the RS-model as given by Eq. (30) [Eq. (31)]. In the plots we consider the same value of mKK in both theories. For the metric (32) the relation between mKK and ρ is given by the function F(ν)…
Figure 2 of the paper
Figure 2. Plots of the 95% CL lower bounds on the first KK-mode mass of elec￾troweak gauge bosons from experimental bounds on the T and S parameters for A(y1) = 35 and a = 2 as a function of ν (left panel, with k∆ = 1) and as a function of k∆ (right panel, with ν = 1). which shows that the required large hierarchy can be naturally fixed with values of the fields φ1 & φ0, φ0 < 0 and of order one. Moreover, the strict soft-wall configuration [17] corresponds to the limit φ1 ≫ 1, y1 → ys. As for the brane potentials λ α H , they are given by Eq. (25). The BC (38) at the UV brane imply 5 M0 − ak…
Figure 3 of the paper
Figure 3. Plots of the 95% CL lower bounds on the first KK-mode mass of the Higgs boson from experimental bounds on the T parameter for A(y1) = 35 and a = 2 as a function of ν (left panel, with k∆ = 1) and as a function of k∆ (right panel, with ν = 1). For comparison the corresponding bounds on the KK-gauge boson masses are shown. on the T and S parameters of Eq. (19). On the left plot we see the dependence on the ν parameter for a = 2 and k∆ = 1. We see that for ν ≫ 1 the bounds go to the RS bounds for a bulk Higgs which are around mKK > 6.0 TeV and 2.8 TeV from the T and S parameters…

Figures are the authors', reproduced from the paper.

References (27)
  1. [1] L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999) [arXiv:hep-ph/9905221] on PithPith's reviewarXiv
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Cited by 13 Pith papers

Reviewed papers on Pith that cite this one. The full citation record

  1. Cosmological Phase Transitions in Warped Space: Gravitational Waves and Collider Signatures hep-ph · Jun 2018
  2. Anomalous gauge couplings from composite Higgs and warped extra dimensions hep-ph · Nov 2013
  3. 5D Perspective on Higgs Production at the Boundary of a Warped Extra Dimension hep-ph · Mar 2013
  4. Suppressing Electroweak Precision Observables in 5D Warped Models hep-ph · Mar 2011
  5. Flavor Non-universal Pati-Salam Unification and Neutrino Masses hep-ph · Dec 2020
  6. Lepton-flavor universality violation in $R_K$ and $R_{D^{(*)}}$ from warped space hep-ph · Mar 2017
  7. $g_\mu-2$ from Vector-Like Leptons in Warped Space hep-ph · Jan 2017
  8. A Natural origin for the LHCb anomalies hep-ph · Aug 2016
  9. On dilatons and the LHC diphoton excess hep-ph · Dec 2015
  10. Dirac Neutrinos with $S_4$ Flavor Symmetry in Warped Extra Dimensions hep-ph · Apr 2013
  11. Diboson resonant production in non-custodial composite Higgs models hep-ph · Jul 2015
  12. TASI 2011: Four Lectures on TeV Scale Extra Dimensions hep-ph · Jul 2012
  13. Linear Dilaton in Cosmology and Particle Physics hep-th · Aug 2026
How the literature uses it

41 arXiv papers cite this in 88 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 65 sentences without a confident label

Builds on it 4 papers
  • Here we have extended the study in Ref. [ref] to the case where the SM fermions can be arbitrarily localized along the extra-dimension, which allows to understand the SM flavor structure as arising from the localization of fermion fields.

    Phenomenology of Non-Custodial Warped Models · Conclusions · 1.00

  • If we perform a similar analysis to the one carried out in [ref] for the model at hand, we obtain that this will happen when [equation] where $F(y)$ is the radion profile [We assume $∂_y(e^-2A(y)F(y))=0$ boundary conditions on both branes.] (for more details see e.g. [ref] ) and we have defined [equation]

    A 750 GeV graviton from holographic composite dark sectors · Phenomenological study · 0.85

  • Motivated by these general considerations we have elaborated on the model proposed in Ref. [ref] .

    Suppressing Electroweak Precision Observables in 5D Warped Models · Conclusions · 0.90

Uses its method or tool 1 paper
Uses its data or values 1 paper
  • A useful fit relating the parameter $ρ$ with the mass of the first KK excitation $m_KK$ is given by Ref. [ref]

    Higgs Bosons in Extra Dimensions · Standard Model in singular backgrounds · 0.84

Compares with it 3 papers
  • This plot reproduces the results presented in [ref] up to small differences ($≲100$ GeV), due to the different fit procedure.

    Phenomenology of Non-Custodial Warped Models · The Oblique Corrections at Tree Level · 1.00

  • We see that the bulk Higgs scenario is less stringently constrained than the brane Higgs, and the similar property was found in the minimal RS model [ref] .

    Dirac Neutrinos with $S_4$ Flavor Symmetry in Warped Extra Dimensions · Electroweak constraints · 0.92

  • Our approach is somewhat different from the recently studied “soft-wall” scenarios [ref] – [ref] , but it could be interesting to combine the two ideas to obtain a fully dynamical warped compactification.

    Warped Universal Extra Dimensions · Introduction · 0.89

Cites it as support 2 papers
  • As we will see in the next section (see also Refs. [ref] and [ref] ), a sizable $Z$ suppresses the $T$ ($S$) parameter by two (one) powers of $Z$, which leads to a corresponding reduction in the value of $ρ$ from EWPT.

    Higgs Bosons in Extra Dimensions · Standard Model in Warped Extra Dimensions · 0.97

  • However a bulk Higgs also leads to a suppression in the couplings between KK gauge fields and the Higgs, which in turn gives rise to a significant reduction in the constraints coming from electroweak observables [ref] .

    Flavour Physics in the Soft Wall Model · Introduction · 0.98

Cites it as background 10 papers
  • In the second equation above we have introduced a new coordinate $t=ϵ e^σ(ϕ)$, where $ϵ=e^-σ(π)$ determines the hierarchy between the Planck scale and the TeV scale, and $M_KK=kϵ$ sets the mass scale for the low-lying KK excitations of the SM particles.[The dimensionless variable $t$ is related to the conformal coordinate $z$ frequently used in the literature by the simple rescaling $z=t/M_KK≡R' t$.] Our primary focus is on models where the scalar sector is localized on (or very near) the IR brane at $t=1$, in contrast to more complicated models, in which the Higgs boson is a 5D field propagating in the extended bulk of the extra dimension [ref] .

    5D Perspective on Higgs Production at the Boundary of a Warped Extra Dimension · Setup and classification of models · 0.94

  • The analysis for oblique observables was already performed for general models in Refs. [ref] and the resulting bounds do depend to a large extent on the value of the mass of the Higgs boson and its location along the fifth dimension.

    Flavor Phenomenology in General 5D Warped Spaces · Electroweak Precision Tests · 0.85

  • We will not specify here the details of the five-dimensional (5D) model, as they were widely covered in the literature, Refs. [ref] , which we refer the reader to [For reviews see e.g. Refs. [ref] .].

    Lepton-flavor universality violation in $R_K$ and $R_{D^{(*)}}$ from warped space · Introduction · 0.99

What it cites · 14 sentences without a confident label

Uses the method or tool of 3 papers
Compares with 2 papers
  • These expressions agree precisely with the recent result in Ref. [ref] .

    Holographic Renormalisation and the Electroweak Precision Parameters · Introduction · 0.95

  • It is interesting that both effects, small $N_c$ and $(𝒪_H^IR)<2$, also play a major role in reducing $S$ and $T$ in the conformal technicolor model proposed in Ref. [ref] , the main difference being that our proposal implies a strong deformation of the conformal theory in the IR.

    Conformal Technicolor · Introduction · 0.89

Cites as background 17 papers
  • When gauge bosons propagate in the 5D bulk their Kaluza-Klein (KK) excitations can contribute to the Standard Model electroweak precision observables –in particular the $T$ parameter [ref] – and their masses and couplings have to be contrasted with the Standard Model electroweak precision tests (EWPT).

    Higgs Mechanism and Bulk Gauge Boson Masses in the Randall-Sundrum Model · Introduction · 0.88

  • When gauge bosons propagate in the 5D bulk their Kaluza-Klein (KK) excitations can contribute to the Standard Model electroweak precision observables –in particular the $T$ parameter [ref] – and their masses and couplings have to be contrasted with the Standard Model electroweak precision tests (EWPT).

    Warped 5-Dimensional Models: Phenomenological Status and Experimental Prospects · Introduction · 0.88

  • Warped models in five dimensions were proposed by Randall and Sundrum (RS) [ref] as an elegant way of solving the Planck/weak hierarchy problem.

    A Large Mass Hierarchy from a Small Extra Dimension · Introduction · 1.00

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