Electric dipole moments as probes of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msub> <mml:mi>R</mml:mi> <mml:msup> <mml:mi>D</mml:mi> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mo>*</mml:mo> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> </mml:msup> </mml:msub> </mml:math> anomaly
Bibliographic record
Abstract
The measurements of the lepton flavor universality (LFU) in <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mrow> <a:mi mathvariant="script">B</a:mi> <a:mo stretchy="false">(</a:mo> <a:mrow> <a:mover accent="true"> <a:mrow> <a:mi>B</a:mi> </a:mrow> <a:mrow> <a:mo stretchy="false">¯</a:mo> </a:mrow> </a:mover> </a:mrow> <a:mo stretchy="false">→</a:mo> <a:msup> <a:mrow> <a:mi>D</a:mi> </a:mrow> <a:mrow> <a:mo stretchy="false">(</a:mo> <a:mo>*</a:mo> <a:mo stretchy="false">)</a:mo> </a:mrow> </a:msup> <a:mi>l</a:mi> <a:mover accent="true"> <a:mrow> <a:mi>ν</a:mi> </a:mrow> <a:mrow> <a:mo stretchy="false">¯</a:mo> </a:mrow> </a:mover> <a:mo stretchy="false">)</a:mo> </a:mrow> </a:math> indicate a significant deviation from the standard model prediction at a <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"> <m:mrow> <m:mn>3</m:mn> <m:mi>–</m:mi> <m:mn>4</m:mn> <m:mi>σ</m:mi> </m:mrow> </m:math> level, revealing a violation of the LFU ( <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"> <o:msub> <o:mi>R</o:mi> <o:msup> <o:mi>D</o:mi> <o:mrow> <o:mo stretchy="false">(</o:mo> <o:mo>*</o:mo> <o:mo stretchy="false">)</o:mo> </o:mrow> </o:msup> </o:msub> </o:math> anomaly). It is known that the <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"> <s:msub> <s:mi>R</s:mi> <s:msup> <s:mi>D</s:mi> <s:mrow> <s:mo stretchy="false">(</s:mo> <s:mo>*</s:mo> <s:mo stretchy="false">)</s:mo> </s:mrow> </s:msup> </s:msub> </s:math> anomaly can be easily accommodated by an <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"> <w:mi>S</w:mi> <w:mi>U</w:mi> <w:mo stretchy="false">(</w:mo> <w:mn>2</w:mn> <w:msub> <w:mo stretchy="false">)</w:mo> <w:mi>L</w:mi> </w:msub> </w:math> -singlet vector leptoquark (LQ) coupled primarily to third-generation fermions, whose existence is further motivated by a partial gauge unification. In general, such a LQ naturally leads to additional <ab:math xmlns:ab="http://www.w3.org/1998/Math/MathML" display="inline"> <ab:mi>C</ab:mi> <ab:mi>P</ab:mi> </ab:math> -violating phases in the LQ interactions. In this paper, we point out that the current <cb:math xmlns:cb="http://www.w3.org/1998/Math/MathML" display="inline"> <cb:msub> <cb:mi>R</cb:mi> <cb:msup> <cb:mi>D</cb:mi> <cb:mrow> <cb:mo stretchy="false">(</cb:mo> <cb:mo>*</cb:mo> <cb:mo stretchy="false">)</cb:mo> </cb:mrow> </cb:msup> </cb:msub> </cb:math> anomaly prefers the <gb:math xmlns:gb="http://www.w3.org/1998/Math/MathML" display="inline"> <gb:mi>C</gb:mi> <gb:mi>P</gb:mi> </gb:math> -violating interaction although <ib:math xmlns:ib="http://www.w3.org/1998/Math/MathML" display="inline"> <ib:mrow> <ib:mi mathvariant="script">B</ib:mi> <ib:mo stretchy="false">(</ib:mo> <ib:mrow> <ib:mover accent="true"> <ib:mrow> <ib:mi>B</ib:mi> </ib:mrow> <ib:mrow> <ib:mo stretchy="false">¯</ib:mo> </ib:mrow> </ib:mover> </ib:mrow> <ib:mo stretchy="false">→</ib:mo> <ib:msup> <ib:mrow> <ib:mi>D</ib:mi> </ib:mrow> <ib:mrow> <ib:mo stretchy="false">(</ib:mo> <ib:mo>*</ib:mo> <ib:mo stretchy="false">)</ib:mo> </ib:mrow> </ib:msup> <ib:mi>l</ib:mi> <ib:mover accent="true"> <ib:mrow> <ib:mi>ν</ib:mi> </ib:mrow> <ib:mrow> <ib:mo stretchy="false">¯</ib:mo> </ib:mrow> </ib:mover> <ib:mo stretchy="false">)</ib:mo> </ib:mrow> </ib:math> are <ub:math xmlns:ub="http://www.w3.org/1998/Math/MathML" display="inline"> <ub:mi>C</ub:mi> <ub:mi>P</ub:mi> </ub:math> -conserving observables. The <wb:math xmlns:wb="http://www.w3.org/1998/Math/MathML" display="inline"> <wb:mi>C</wb:mi> <wb:mi>P</wb:mi> </wb:math> -violating LQ predicts a substantial size of the bottom-quark electric dipole moment (EDM), the chromo-EDM, and also the tau-lepton EDM. Eventually at low energy, the nucleon and electron EDMs are radiatively induced. Therefore, we conclude that the <yb:math xmlns:yb="http://www.w3.org/1998/Math/MathML" display="inline"> <yb:msub> <yb:mi>R</yb:mi> <yb:msup> <yb:mi>D</yb:mi> <yb:mrow> <yb:mo stretchy="false">(</yb:mo> <yb:mo>*</yb:mo> <yb:mo stretchy="false">)</yb:mo> </yb:mrow> </yb:msup> </yb:msub> </yb:math> anomaly with the <cc:math xmlns:cc="http://www.w3.org/1998/Math/MathML" display="inline"> <cc:mi>S</cc:mi> <cc:mi>U</cc:mi> <cc:mo stretchy="false">(</cc:mo> <cc:mn>2</cc:mn> <cc:msub> <cc:mo stretchy="false">)</cc:mo> <cc:mi>L</cc:mi> </cc:msub> </cc:math> -singlet vector LQ provides unique predictions: neutron and proton EDMs with opposite signs and a magnitude of <gc:math xmlns:gc="http://www.w3.org/1998/Math/MathML" display="inline"> <gc:mrow> <gc:mi mathvariant="script">O</gc:mi> <gc:mo stretchy="false">(</gc:mo> <gc:msup> <gc:mrow> <gc:mn>10</gc:mn> </gc:mrow> <gc:mrow> <gc:mo>−</gc:mo> <gc:mn>27</gc:mn> </gc:mrow> </gc:msup> <gc:mo stretchy="false">)</gc:mo> <gc:mtext> </gc:mtext> <gc:mtext> </gc:mtext> <gc:mi>e</gc:mi> <gc:mtext> </gc:mtext> <gc:mi>cm</gc:mi> </gc:mrow> </gc:math> , and suppressed electron EDM. Furthermore, we show that a similar EDM pattern is predicted in an <lc:math xmlns:lc="h
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.003 | 0.002 |
| Meta-epidemiology (narrow) | 0.002 | 0.003 |
| Meta-epidemiology (broad) | 0.002 | 0.007 |
| Bibliometrics | 0.001 | 0.004 |
| Science and technology studies | 0.002 | 0.003 |
| Scholarly communication | 0.002 | 0.002 |
| Open science | 0.005 | 0.004 |
| Research integrity | 0.002 | 0.005 |
| Insufficient payload (model declined to judge) | 0.009 | 0.008 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; both teacher heads agree on what is shown here.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".