C P Violation in Higgs-Gauge Interactions: From Tabletop Experiments to the LHC

Self Cite

131

164

We compute the one-loop matching between the Standard Model Effective Field Theory and the low-energy effective field theory below the electroweak scale, where the heavy gauge bosons, the Higgs particle, and the top quark are integrated out. The complete set of matching equations is derived including effects up to dimension six in the power counting of both theories. We present the results for general flavor structures and include both the CP -even and CP -odd sectors. The matching equations express the masses, gauge couplings, as well as the coefficients of dipole, three-gluon, and four-fermion operators in the low-energy theory in terms of the parameters of the Standard Model Effective Field Theory. Using momentum insertion, we also obtain the matching for the CP -violating theta angles. Our results provide an ingredient for a model-independent analysis of constraints on physics beyond the Standard Model. They can be used for fixed-order calculations at one-loop accuracy and represent a first step towards a systematic next-to-leading-log analysis. E SMEFT operator basis 56 F LEFT operator basis 58 G Conventions for the supplemental material 59 References 61

Section: Resultssupporting

confidence: 83%

Low-energy effective field theory below the electroweak scale: matching at one loop

Dekens

Stoffer

2019

Self Cite

131

164

“…23) the general form of the correlator (4.3) can be written asΠ OPE (q 2 ) = 24i d 4 x e iqx Tr S c γ 5 S γ 5 S + S γ 5 S c γ 5 S + β Tr S c S γ 5 γ 5 S + γ 5 S γ 5 S c S + Tr S c γ 5 S S γ 5 + S S c γ 5 S γ Tr S c S γ 5 S γ 5 + γ 5 S S c S γ 5 ,…”

mentioning

confidence: 99%

Sum rules for CP-violating operators of Weinberg type

Haisch

Hala

2019

We estimate the size of the hadronic matrix elements of CP-violating three-gluon and four-gluon Weinberg operators using sum-rule techniques. In the three-gluon case, we are able to reproduce the expressions given in earlier works, while the four-gluon results obtained in this article are new. Our paper therefore represents the first systematic study of contributions to the electric dipole moment of the neutron due to CP-violating dimension-six and dimension-eight operators. We provide many details on both the derivation of the sum rules as well as the analysis of the uncertainties that plague our final predictions.Here G A µν is the QCD field strength tensor,G A µν = 1/2 µνρλ G A ρλ with 0123 = +1 denotes its dual, f ABC are the fully anti-symmetric structure constants of SU(3) and c ABCD denote the colour structures defined in (5.20). Lacking the expertise in LQCD as well as the needed computer resources, we will present estimates of the hadronic matrix elements of the operators in (1.1) using QCD sum-rule techniques. In the case of the dimension-six contribution O 6 such a calculation has already been performed in [40], but the latter publication does not provide details on the actual computation making an independent reevaluation worthwhile. Our determination of the hadronic matrix elements of the dimension-eight term O 8 is instead new. Both results will be used in a companion paper [59], where we derive model-independent bounds on CP-violating Higgs-gluon interactions in BSM scenarios with vanishing or highly suppressed light-quark Yukawa couplings.Our work is organised as follows. After briefly reviewing the basic idea behind the sum-rule determinations of the hadronic matrix elements of O 6 and O 8 , we discuss in Section 3 the phenomenological side of the sum rules. The operator product expansion (OPE) computation of the dimension-six and dimension-eight contributions is described in Section 4 and Section 5, respectively. The matching and the numerical analysis of the sum rules are performed in Section 6. We conclude in Section 7. Technical details are relegated to several appendices. General idea behind the sum rulesThe central object for the derivation of the sum-rule estimates for the hadronic matrix elements of operators of the type (1.1) is the following correlation function Π(q 2 ) = i d 4 x e iqx Ω T η(x)η(0) Ω EM,O k , (2.1)

“…Since searches for electric dipole moments (EDMs) are also known to place stringent constraints on any new-physics scenario with additional sources of CP violation (see [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] for reviews and recent discussions) the low-energy constraints on effective operators of the form (1.1) have also been considered [25][26][27][28][29][30][31]. In fact, the recent article [31] performed a comprehensive study of the relative strengths and complementarity of collider and low-energy measurements in probing CP-violation in Higgs-gauge boson interactions. Employing a SMEFT description and working in the context of so-called universal theories [32][33][34], i.e.…”

Section: Motivationmentioning

confidence: 99%

“…In this article we would like to point out a simple way of how-to relax the constraints obtained in [30,31]. In contrast to the latter articles, we will not assume that the newphysics modifications are confined to the Higgs-gauge boson sector, but also allow for effects in the Yukawa sector.…”

Section: Jhep11(2019)117mentioning

confidence: 99%

“…A question that one therefore may want to ask is how sensitively the LHC limits [5][6][7][8] and the EDM constraints [30,31] depend on the assumption that the observed Higgs boson r h h u B j U Q h j Q K B 9 W B w P c 7 r 9 6 g 0 j + W t G S b Y j m h P 8 p A z a q x V 6 X f y B a / o T U Q W w Z 9 B 4 f L D v U j e v 9 x y J / / Z 6 s Y s j V A a J q j W T d 9 L T D u j y n A m c O S 2 U o 0 J Z Q P a w 6 Z F S S P U 7 W w y 6 I g c W 6 d L w l j Z J w 2 Z u L 8 7 M h p p P Y w C W x l R 0 9 f z 2 d j 8 L 2 u m J j x v Z 1 w m q U H J p h + F q S A m J u O t S Z c r Z E Y M L V C m u J 2 V s D 5 V l B l 7 G 9 c e w Z 9 f e R F q p 0 X f c s U r l K 5 g q h w c w h G c g A 9 n U I I b K E M V G C A 8 w B M 8 O 3 f O o / P i v E 5 L l 5 x Z z w H 8 k f P 2 A y 2 R k C k = < / l a t e x i t > < l a t e x i t s h a 1 _ b a s e 6 4 = " H 5 6 / R T w P p g 0 y m D z e 1 v O X 2 w x P S m I = " > A A A B 6 H i c b Z C 7 S g N B F I b P e o 3 r L W p p M x g E q 7 B r o 4 0 Y t L F M w F w g C W F 2 c j Y Z M z u 7 z M w K Y c k T 2 F g o Y q s P Y 2 8 j v o 2 T S 6 G J P w x 8 / P 8 5 z D k n S A T X x v O + n a X l l d W 1 9 d y G u 7 m 1 v b O b 3 9 u v 6 T h V D K s s F r F q B F S j 4 B K r h h u B j U Q h j Q K B 9 W B w P c 7 r 9 6 g 0 j + W t G S b Y j m h P 8 p A z a q x V 6 X f y B a / o T U Q W w Z 9 B 4 f L D v U j e v 9 x y J / / Z 6 s Y s j V A a J q j W T d 9 L T D u j y n A m c O S 2 U o 0 J Z Q P a w 6 Z F S S P U 7 W w y 6 I g c W 6 d L w l j Z J w 2 Z u L 8 7 M h p p P Y w C W x l R 0 9 f z 2 d j 8 L 2 u m J j x v Z 1 w m q U H J p h + F q S A m J u O t S Z c r Z E Y M L V C m u J 2 V s D 5 V l B l 7 G 9 c e w Z 9 f e R F q p 0 X f c s U r l K 5 g q h w c w h G c g A 9 n U I I b K E M V G C A 8 w B M 8 O 3 f O o / P i v E 5 L l 5 x Z z w H 8 k f P 2 A y 2 R k C k = < / l a t e x i t > < l a t e x i t s h a 1 _ b a s e 6 4 = " 3 P 7 a k W g 4 H 1 b I b + 3 d A s / N c E d u J P k = " > A A A B 6 H i c b Z B N T 8 J A E I a n + I X 4 h X r 0 s p G Y e C K t F z 0 S v X i E x A I J N G S 7 T G F l u 2 1 2 t y a k 4 R d 4 8 a A x X v 1 J 3 v w 3 L t C D g m + y y Z N 3 Z r I z b 5 g K r o 3 r f j u l j c 2 t 7 Z 3 y b m V v / + D w q H p 8 0 t Z J p h j 6 L B G J 6 o Z U o + A S f c O N w G 6 q k M a h w E 4 4 u Z v X O 0 + o N E / k g 5 m m G M R 0 J H n E G T X W a o 0 H 1 Z p b d x c i 6 + A V U I N C z U H 1 q z 9 M W B a j N E x Q r X u e m 5 o g p 8 p w J n B W 6 W c a U 8 o m d I Q 9 i 5 L G q I N 8 s e i M X F h n S K J E 2 S c N W b i / J 3 I a a z 2 N Q 9 s Z U z P W q 7 W 5 + V + t l 5 n o J s i 5 T D O D k i 0 / i j J B T E L m V 5 M h V 8 i M m F q g T H G 7 K 2 F j q i g z N p u K D c F b P X k d 2 l d 1 z 3 L L r T V u i z j K c A b n c A k e X E M D 7 q E J P j B A e I Z X e H M e n R f n 3 f l Y t p a c Y u Y U / s j 5 / A H M u 4 z o < / l a t e x i t > g < l a t e x i t s h a 1 _ b a s e 6 4 = " g x 8 t A 5 6 7 a c s W 4 Z 3 B C y 3 K H d i 9 1 C A = " > A A A B 6 H i c b Z C 7 S g N B F I b P x l u M t 6 i l F o N B s A q 7 N r E M 2 l g m Y C 6 Q L G F 2 c j Y Z M z u 7 z M w K Y c k T 2 F g o Y u t T + B x 2 d j 6 K k 0 u h i T 8 M f P z n H O a c P 0 g E 1 8 Z 1 v 5 z c 2 v r G 5 l Z + u 7 C z u 7 d / U D w 8 a u o 4 V Q w b L B a x a g d U o + A S G 4 Y b g e 1 E I Y 0 C g a 1 g d D O t t x 5 Q a R 7 L O z N O 0 I / o Q P K Q M 2 q s V R / 0 i i W 3 7 M 5 E V s F b Q K l 6 + l H / B o B a r / j Z 7 c c s j V A a J q j W H c 9 N j J 9 R Z T g T O C l 0 U 4 0 J Z S M 6 w I 5 F S S P U f j Z b d E L O r d M n Y a z s k 4 b M 3 N 8 T G Y 2 0 H k e B 7 Y y o G e r l 2 t T 8 r 9 Z J T X j l Z 1 w m q U H J 5 h + F q S A m J t O r S Z ...…”

Section: Jhep11(2019)117mentioning

confidence: 99%

See 1 more Smart Citation

Bounds on CP-violating Higgs-gluon interactions: the case of vanishing light-quark Yukawa couplings

Haisch

Hala

2019

We investigate CP-violating interactions involving the Higgs boson and gluons within an effective field theory approach, focusing on the specific class of new-physics scenarios where the Yukawa couplings of light quarks are zero or strongly suppressed compared to the standard-model expectations. We compute the contributions of the most relevant higher-dimensional operators of Weinberg type to the electric dipole moment of the neutron (nEDM), which are induced by Feynman diagrams that involve an effective CP-violating Higgs-gluon coupling and top-quark loops. The resulting nEDM sensitivities and prospects are discussed and compared to the existing and expected LHC bounds. We find that future nEDM searches can set non-trivial constraints on CP-violating Higgs-gluon interactions even if the Higgs only couples to the third generation of quarks.