Short-distance QCD corrections to $K^0\bar{K}^0$ mixing at next-to-leading order in Left-Right models

Luiz Vale Silva; S\'ebastien Descotes-Genon; V\'eronique Bernard

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Short-distance QCD corrections to $K^0\bar{K}^0$ mixing at next-to-leading order in Left-Right models

Véronique Bernard, Sébastien Descotes-Genon, Luiz Vale Silva

High Energy Physics - Phenomenology · Submitted 2 Dec 2015

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We conclude by providing next-to-leading-order estimates for $cc$, $ct$ and $tt$ boxes in LR models.

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arXiv ID1512.00543 (version 2)

Pith IDNMLVIRU6, Pith's permanent record of this paper and its review

CitationLuiz Vale Silva, S\'ebastien Descotes-Genon, V\'eronique Bernard. "Short-distance QCD corrections to $K^0\bar{K}^0$ mixing at next-to-leading order in Left-Right models." arXiv:1512.00543 (2015). https://pith.science/paper/NMLVIRU6

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Left-Right (LR) models are extensions of the Standard Model where left-right symmetry is restored at high energies, and which are strongly constrained by kaon mixing described in the framework of the $|\Delta S|=2$ effective Hamiltonian. We consider the short-distance QCD corrections to this Hamiltonian both in the Standard Model (SM) and in LR models. The leading logarithms occurring in these short-distance corrections can be resummed within a rigourous Effective Field Theory (EFT) approach integrating out heavy degrees of freedom progressively, or using an approximate simpler method of regions identifying the ranges of loop momentum generating large logarithms in the relevant two-loop diagrams. We compare the two approaches in the SM at next-to-leading order, finding a very good agreement when one scale dominates the problem, but only a fair agreement in the presence of a large logarithm at leading order. We compute the short-distance QCD corrections for LR models at next-to-leading order using the method of regions, and we compare the results with the EFT approach for the $WW'$ box with two charm quarks (together with additional diagrams forming a gauge-invariant combination), where a large logarithm occurs already at leading order. We conclude by providing next-to-leading-order estimates for $cc$, $ct$ and $tt$ boxes in LR models.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Left-Right (LR) models are extensions of the Standard Model where left-right symmetry is restored at high energies, and which are strongly constrained by kaon mixing described in the framework of the $\|\Delta S\|=2$ effective Hamiltonian.	background 1.00	0.05	0.02	asserted 1.00
s1	We consider the short-distance QCD corrections to this Hamiltonian both in the Standard Model (SM) and in LR models.	contribution 0.99	0.86	0.03	asserted 0.89
s2	The leading logarithms occurring in these short-distance corrections can be resummed within a rigourous Effective Field Theory (EFT) approach integrating out heavy degrees of freedom progressively, or using an approximate simpler method of regions identifying the ranges of loop momentum generating large logarithms in the relevant two-loop diagrams.	method 0.83	0.12	0.04	asserted 0.94
s3	We compare the two approaches in the SM at next-to-leading order, finding a very good agreement when one scale dominates the problem, but only a fair agreement in the presence of a large logarithm at leading order.	result 0.92	0.96	0.13	asserted 1.00
s4	We compute the short-distance QCD corrections for LR models at next-to-leading order using the method of regions, and we compare the results with the EFT approach for the $WW'$ box with two charm quarks (together with additional diagrams forming a gauge-invariant combination), where a large logarithm occurs already at leading order.	contribution 0.86	0.96	0.12	asserted 1.00
s5	We conclude by providing next-to-leading-order estimates for $cc$, $ct$ and $tt$ boxes in LR models.	result 0.76	0.95	0.69	asserted 0.90

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from simulation or computation 0.52.

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Original abstract

Left-Right (LR) models are extensions of the Standard Model where left-right symmetry is restored at high energies, and which are strongly constrained by kaon mixing described in the framework of the $|\Delta S|=2$ effective Hamiltonian. We consider the short-distance QCD corrections to this Hamiltonian both in the Standard Model (SM) and in LR models. The leading logarithms occurring in these short-distance corrections can be resummed within a rigourous Effective Field Theory (EFT) approach integrating out heavy degrees of freedom progressively, or using an approximate simpler method of regions identifying the ranges of loop momentum generating large logarithms in the relevant two-loop diagrams. We compare the two approaches in the SM at next-to-leading order, finding a very good agreement when one scale dominates the problem, but only a fair agreement in the presence of a large logarithm at leading order. We compute the short-distance QCD corrections for LR models at next-to-leading order using the method of regions, and we compare the results with the EFT approach for the $WW'$ box with two charm quarks (together with additional diagrams forming a gauge-invariant combination), where a large logarithm occurs already at leading order. We conclude by providing next-to-leading-order estimates for $cc$, $ct$ and $tt$ boxes in LR models.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Chiral Symmetries in the Standard Model of Particle Physics and its Extensions
hep-ph 2026-10 conditional novelty 6.0 of 10

The thesis derives one-loop finite counterterms for SMEFT four-fermion operators in the BMHV scheme and obtains parameter-independent lower bounds on W_R and Z_R masses from LHC data.
Probing the Higgs Sector of the Minimal Left-Right Symmetric Model at Future Hadron Colliders
hep-ph 2016-02 conditional novelty 4.0 of 10

A parton-level projection finds that a 100 TeV proton collider could probe the heavy Higgs bosons of the minimal Left-Right model up to roughly 15 TeV (neutral bi-doublet) and a few TeV (triplet scalars) at 3 sigma wi...
Lepton Number Violation: Seesaw Models and Their Collider Tests
hep-ph 2017-11 accept novelty 2.0 of 10

A comprehensive review of collider searches for lepton number violation in seesaw models, compiling current limits and future reach across Type I, II, III, and radiative neutrino mass scenarios.

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10 arXiv papers cite this in 13 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 · 9 sentences without a confident label

Cites it as background 3 papers

In most of the cases, the LR symmetry breaking scale is low and the phenomenology has been discussed involving not only the extra scalars and the extra gauge bosons induced by the $SU(2)_R$ symmetry [ref] .

Flavor physics in the multi-Higgs doublet models induced by the left-right symmetry · Summary and Discussion · 1.00
Such matrices can be constrained by flavour observables [ref] , such as $K^0$-$K^0$ neutral meson mixing [ref] , that exceed the scope of the present work.

Direct bounds on Left-Right gauge boson masses at LHC Run 2 · Introduction · 0.93
In the model under consideration the additional Higgs doublet couples to all fermions, a setup which appears in many UV models, such as the left-right model [ref] and even in the TeV scale Pati-Salam model to break the symmetry with a bi-doublet field [ref] .

Towards ruling out the charged Higgs interpretation of the $R_{D^{(*)}}$ anomaly · Model and parameters · 0.83

What it cites · 17 sentences without a confident label

Uses data or values from 2 papers

This led to an evaluation of these contributions at NNLO, leading to a significant positive shift compared to NLO for $η_cc=1.87±0.76$ [ref] and a $7 %$ increase for $η_ct=0.496±0.047$ [ref] ($η_tt$ remaining almost unchanged).

Epsilon_K at Next-to-Next-to-Leading Order: The Charm-Top-Quark Contribution · EFT computation: specific issues · 0.92
This led to an evaluation of these contributions at NNLO, leading to a significant positive shift compared to NLO for $η_cc=1.87±0.76$ [ref] and a $7 %$ increase for $η_ct=0.496±0.047$ [ref] ($η_tt$ remaining almost unchanged).

Next-to-Next-to-Leading-Order Charm-Quark Contribution to the CP Violation Parameter epsilon_K and Delta M_K · EFT computation: specific issues · 0.92

Compares with 1 paper

The LO results are in fairly good agreement with the calculation of Ref. [ref] .

Present and Future K and B Meson Mixing Constraints on TeV Scale Left-Right Symmetry · Method of regions · 1.00

Cites as support 2 papers

The short-distance corrections $η̅_1,UV$ are at least an order of magnitude smaller than $η̅_2,UV$ and will not be considered further, in agreement with Refs. [ref] .

Delta F = 2 observables and B -> X_q gamma decays in the Left-Right Model: Higgs particles striking back · Method of regions · 0.96
The short-distance corrections $η̅_1,UV$ are at least an order of magnitude smaller than $η̅_2,UV$ and will not be considered further, in agreement with Refs. [ref] .

Present and Future K and B Meson Mixing Constraints on TeV Scale Left-Right Symmetry · Method of regions · 0.96

Cites as background 1 paper

This extension induces the presence of heavy spin-1 $W'$ and $Z'$ bosons predominantly coupling to right-handed fermions, introducing a new CKM-like matrix for right-handed quarks, as well as charged and neutral heavy Higgs bosons with an interesting pattern of flavour-changing currents [ref] .

General CP Violation in Minimal Left-Right Symmetric Model and Constraints on the Right-Handed Scale · Introduction · 0.91

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